class: center, middle, inverse, title-slide .title[ # Essential Statistical Skills for Energy and Environmental Technology Research ] .subtitle[ ## Workshop for the Faculty of Technology, University of Sri Jayewardenepura ] .author[ ### Dr Thiyanga S. Talagala ] .date[ ### August 23, 2024 ] --- ## Essential Statistical Skills 1. Statistical software and programming skills 2. Data wrangling skills 3. Data visualization skills 4. Design and analysis of experiments 4. Statistical modelling skills 5. Machine learning skills 6. Communication skills --- class: titled, middle ## We have AI and ChatGPT. ## We don't need these skills anymore. --- class: titled, middle ## ~~We have AI and ChatGPT~~. ## ~~We don't need these skills anymore~~. # AI-based tools are powerful, but it is most effective **when used in combination with human expertise.** --- class: titled, middle ## ~~We have AI and ChatGPT~~. ## ~~We don't need these skills anymore~~. ## AI-based tools are powerful, but it is most effective **when used in combination with human expertise.** - **Improve prompt engineering:** Knowing the underlying concepts helps in framing better questions and guiding AI to give accurate and relevant outputs - **Evaluate AI-generated outputs:** To critically assess whether AI-generated results are valid and make sense for your problem --- class: inverse, center, middle # Example 1 --- .pull-left[ Determine **which natural seed (Species A, B, or C) is most effective in reducing turbidity** in water samples. - The tests were carried out, using artificial turbid water with conventional jar test apparatus. > Response variable = Turbidity Reduction Efficiency (TRE %) ] .pull-right[ ![](experiment.png) ] --- .pull-left[ ## Data |Tratment | TRE| |:--------|---:| |A | 10| |B | 55| |C | 80| - Statistical conclusions cannot be drawn based on one replicate. ] .pull-right[ ![](experiment.png) ] --- .pull-left[ - Independent Variable (Treatment): Type of natural seed added to the water. - Treatment A: Seed A - Treatment B: Seed B - Treatment C: Seed C - Dependent Variable: Turbidity Reduction Efficiency - Randomization - Replication ] .pull-right[ ![](image2.png) ] --- ## Completely Randomized Design (CRD) .pull-left[ ![](image2.png) ] --- ## Common Experimental Designs .pull-left[ - Completely Randomized Design (CRD) - Randomized Complete Block Design (RCBD) - Latin Square Design - Factorial Design - Split-Plot Design - Nested Design ] --- class: inverse, center, middle # Example 2 --- ## Chicago River: Water Quality Monitoring .pull-left[ ![](image4.jpg) ] .pull-right[ ![](image5.jpg) ] - Measure the pH level of water at a specific location daily at 10 PM over a two-year period. --- .pull-left[ <table class="table table-striped" style="font-size: 14px; color: black; width: auto !important; margin-left: auto; margin-right: auto;"> <caption style="font-size: initial !important;">pH Data</caption> <thead> <tr> <th style="text-align:center;"> Date </th> <th style="text-align:center;"> pH </th> </tr> </thead> <tbody> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-01 </td> <td style="text-align:center;width: 3cm; "> 7.08 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-02 </td> <td style="text-align:center;width: 3cm; "> 8.08 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-03 </td> <td style="text-align:center;width: 3cm; "> 7.32 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-04 </td> <td style="text-align:center;width: 3cm; "> 8.27 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-05 </td> <td style="text-align:center;width: 3cm; "> 8.38 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-06 </td> <td style="text-align:center;width: 3cm; "> 6.59 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-07 </td> <td style="text-align:center;width: 3cm; "> 7.56 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-08 </td> <td style="text-align:center;width: 3cm; "> 8.28 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-09 </td> <td style="text-align:center;width: 3cm; "> 7.60 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-10 </td> <td style="text-align:center;width: 3cm; "> 7.41 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-11 </td> <td style="text-align:center;width: 3cm; "> 8.41 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-12 </td> <td style="text-align:center;width: 3cm; "> 7.41 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-13 </td> <td style="text-align:center;width: 3cm; "> 7.86 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-14 </td> <td style="text-align:center;width: 3cm; "> 7.65 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-15 </td> <td style="text-align:center;width: 3cm; "> 6.71 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-16 </td> <td style="text-align:center;width: 3cm; "> 8.30 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-17 </td> <td style="text-align:center;width: 3cm; "> 6.99 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-18 </td> <td style="text-align:center;width: 3cm; "> 6.58 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-19 </td> <td style="text-align:center;width: 3cm; "> 7.16 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-20 </td> <td style="text-align:center;width: 3cm; "> 8.41 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-21 </td> <td style="text-align:center;width: 3cm; "> 8.28 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-22 </td> <td style="text-align:center;width: 3cm; "> 7.89 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-23 </td> <td style="text-align:center;width: 3cm; "> 7.78 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-24 </td> <td style="text-align:center;width: 3cm; "> 8.49 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-25 </td> <td style="text-align:center;width: 3cm; "> 7.81 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-26 </td> <td style="text-align:center;width: 3cm; "> 7.92 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-27 </td> <td style="text-align:center;width: 3cm; "> 7.59 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-28 </td> <td style="text-align:center;width: 3cm; "> 7.69 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-29 </td> <td style="text-align:center;width: 3cm; "> 7.08 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-30 </td> <td style="text-align:center;width: 3cm; "> 6.79 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-01-31 </td> <td style="text-align:center;width: 3cm; "> 8.43 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-02-01 </td> <td style="text-align:center;width: 3cm; "> 8.30 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-02-02 </td> <td style="text-align:center;width: 3cm; "> 7.88 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-02-03 </td> <td style="text-align:center;width: 3cm; "> 8.09 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-02-04 </td> <td style="text-align:center;width: 3cm; "> 6.55 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-02-05 </td> <td style="text-align:center;width: 3cm; "> 7.46 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-02-06 </td> <td style="text-align:center;width: 3cm; "> 8.02 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-02-07 </td> <td style="text-align:center;width: 3cm; "> 6.93 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-02-08 </td> <td style="text-align:center;width: 3cm; "> 7.14 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-02-09 </td> <td style="text-align:center;width: 3cm; "> 6.96 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-02-10 </td> <td style="text-align:center;width: 3cm; "> 6.79 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-02-11 </td> <td style="text-align:center;width: 3cm; "> 7.33 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-02-12 </td> <td style="text-align:center;width: 3cm; "> 7.33 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-02-13 </td> <td style="text-align:center;width: 3cm; "> 7.24 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-02-14 </td> <td style="text-align:center;width: 3cm; "> 6.80 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-02-15 </td> <td style="text-align:center;width: 3cm; "> 6.78 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-02-16 </td> <td style="text-align:center;width: 3cm; "> 6.97 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-02-17 </td> <td style="text-align:center;width: 3cm; "> 7.43 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-02-18 </td> <td style="text-align:center;width: 3cm; "> 7.03 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-02-19 </td> <td style="text-align:center;width: 3cm; "> 8.22 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-02-20 </td> <td style="text-align:center;width: 3cm; "> 6.59 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-02-21 </td> <td style="text-align:center;width: 3cm; "> 7.38 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-02-22 </td> <td style="text-align:center;width: 3cm; "> 8.10 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-02-23 </td> <td style="text-align:center;width: 3cm; "> 6.74 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-02-24 </td> <td style="text-align:center;width: 3cm; "> 7.62 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-02-25 </td> <td style="text-align:center;width: 3cm; "> 6.91 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-02-26 </td> <td style="text-align:center;width: 3cm; "> 6.76 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-02-27 </td> <td style="text-align:center;width: 3cm; "> 8.01 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-02-28 </td> <td style="text-align:center;width: 3cm; "> 8.29 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-01 </td> <td style="text-align:center;width: 3cm; "> 7.25 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-02 </td> <td style="text-align:center;width: 3cm; "> 7.83 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-03 </td> <td style="text-align:center;width: 3cm; "> 6.69 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-04 </td> <td style="text-align:center;width: 3cm; "> 7.27 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-05 </td> <td style="text-align:center;width: 3cm; "> 7.05 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-06 </td> <td style="text-align:center;width: 3cm; "> 8.13 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-07 </td> <td style="text-align:center;width: 3cm; "> 7.40 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-08 </td> <td style="text-align:center;width: 3cm; "> 8.12 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-09 </td> <td style="text-align:center;width: 3cm; "> 8.12 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-10 </td> <td style="text-align:center;width: 3cm; "> 8.09 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-11 </td> <td style="text-align:center;width: 3cm; "> 7.38 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-12 </td> <td style="text-align:center;width: 3cm; "> 8.01 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-13 </td> <td style="text-align:center;width: 3cm; "> 7.76 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-14 </td> <td style="text-align:center;width: 3cm; "> 7.92 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-15 </td> <td style="text-align:center;width: 3cm; "> 6.50 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-16 </td> <td style="text-align:center;width: 3cm; "> 7.45 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-17 </td> <td style="text-align:center;width: 3cm; "> 6.94 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-18 </td> <td style="text-align:center;width: 3cm; "> 7.26 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-19 </td> <td style="text-align:center;width: 3cm; "> 7.73 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-20 </td> <td style="text-align:center;width: 3cm; "> 7.20 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-21 </td> <td style="text-align:center;width: 3cm; "> 6.72 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-22 </td> <td style="text-align:center;width: 3cm; "> 6.99 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-23 </td> <td style="text-align:center;width: 3cm; "> 7.84 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-24 </td> <td style="text-align:center;width: 3cm; "> 7.34 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-25 </td> <td style="text-align:center;width: 3cm; "> 8.08 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-26 </td> <td style="text-align:center;width: 3cm; "> 6.71 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-27 </td> <td style="text-align:center;width: 3cm; "> 7.37 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-28 </td> <td style="text-align:center;width: 3cm; "> 8.47 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-29 </td> <td style="text-align:center;width: 3cm; "> 8.29 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-30 </td> <td style="text-align:center;width: 3cm; "> 8.27 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-03-31 </td> <td style="text-align:center;width: 3cm; "> 6.85 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-01 </td> <td style="text-align:center;width: 3cm; "> 6.76 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-02 </td> <td style="text-align:center;width: 3cm; "> 7.81 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-03 </td> <td style="text-align:center;width: 3cm; "> 7.19 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-04 </td> <td style="text-align:center;width: 3cm; "> 7.81 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-05 </td> <td style="text-align:center;width: 3cm; "> 7.14 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-06 </td> <td style="text-align:center;width: 3cm; "> 6.88 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-07 </td> <td style="text-align:center;width: 3cm; "> 8.06 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-08 </td> <td style="text-align:center;width: 3cm; "> 6.69 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-09 </td> <td style="text-align:center;width: 3cm; "> 7.43 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-10 </td> <td style="text-align:center;width: 3cm; "> 7.52 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-11 </td> <td style="text-align:center;width: 3cm; "> 7.70 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-12 </td> <td style="text-align:center;width: 3cm; "> 7.17 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-13 </td> <td style="text-align:center;width: 3cm; "> 7.48 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-14 </td> <td style="text-align:center;width: 3cm; "> 8.41 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-15 </td> <td style="text-align:center;width: 3cm; "> 7.47 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-16 </td> <td style="text-align:center;width: 3cm; "> 8.28 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-17 </td> <td style="text-align:center;width: 3cm; "> 8.33 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-18 </td> <td style="text-align:center;width: 3cm; "> 7.72 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-19 </td> <td style="text-align:center;width: 3cm; "> 7.32 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-20 </td> <td style="text-align:center;width: 3cm; "> 6.79 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-21 </td> <td style="text-align:center;width: 3cm; "> 8.37 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-22 </td> <td style="text-align:center;width: 3cm; "> 7.10 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-23 </td> <td style="text-align:center;width: 3cm; "> 6.62 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-24 </td> <td style="text-align:center;width: 3cm; "> 8.40 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-25 </td> <td style="text-align:center;width: 3cm; "> 7.94 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-26 </td> <td style="text-align:center;width: 3cm; "> 6.78 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-27 </td> <td style="text-align:center;width: 3cm; "> 7.60 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-28 </td> <td style="text-align:center;width: 3cm; "> 8.41 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-29 </td> <td style="text-align:center;width: 3cm; "> 7.67 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-04-30 </td> <td style="text-align:center;width: 3cm; "> 7.31 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-01 </td> <td style="text-align:center;width: 3cm; "> 7.80 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-02 </td> <td style="text-align:center;width: 3cm; "> 7.14 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-03 </td> <td style="text-align:center;width: 3cm; "> 7.12 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-04 </td> <td style="text-align:center;width: 3cm; "> 6.94 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-05 </td> <td style="text-align:center;width: 3cm; "> 7.24 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-06 </td> <td style="text-align:center;width: 3cm; "> 8.47 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-07 </td> <td style="text-align:center;width: 3cm; "> 6.81 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-08 </td> <td style="text-align:center;width: 3cm; "> 6.68 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-09 </td> <td style="text-align:center;width: 3cm; "> 6.78 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-10 </td> <td style="text-align:center;width: 3cm; "> 7.88 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-11 </td> <td style="text-align:center;width: 3cm; "> 7.74 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-12 </td> <td style="text-align:center;width: 3cm; "> 8.28 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-13 </td> <td style="text-align:center;width: 3cm; "> 7.85 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-14 </td> <td style="text-align:center;width: 3cm; "> 7.97 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-15 </td> <td style="text-align:center;width: 3cm; "> 7.54 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-16 </td> <td style="text-align:center;width: 3cm; "> 7.82 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-17 </td> <td style="text-align:center;width: 3cm; "> 8.14 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-18 </td> <td style="text-align:center;width: 3cm; "> 8.07 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-19 </td> <td style="text-align:center;width: 3cm; "> 8.46 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-20 </td> <td style="text-align:center;width: 3cm; "> 7.38 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-21 </td> <td style="text-align:center;width: 3cm; "> 7.12 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-22 </td> <td style="text-align:center;width: 3cm; "> 7.32 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-23 </td> <td style="text-align:center;width: 3cm; "> 6.52 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-24 </td> <td style="text-align:center;width: 3cm; "> 6.87 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-25 </td> <td style="text-align:center;width: 3cm; "> 8.19 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-26 </td> <td style="text-align:center;width: 3cm; "> 6.96 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-27 </td> <td style="text-align:center;width: 3cm; "> 6.98 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-28 </td> <td style="text-align:center;width: 3cm; "> 6.65 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-29 </td> <td style="text-align:center;width: 3cm; "> 6.99 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-30 </td> <td style="text-align:center;width: 3cm; "> 7.96 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-05-31 </td> <td style="text-align:center;width: 3cm; "> 8.19 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-01 </td> <td style="text-align:center;width: 3cm; "> 7.50 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-02 </td> <td style="text-align:center;width: 3cm; "> 7.28 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-03 </td> <td style="text-align:center;width: 3cm; "> 6.99 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-04 </td> <td style="text-align:center;width: 3cm; "> 6.72 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-05 </td> <td style="text-align:center;width: 3cm; "> 7.28 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-06 </td> <td style="text-align:center;width: 3cm; "> 7.64 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-07 </td> <td style="text-align:center;width: 3cm; "> 6.93 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-08 </td> <td style="text-align:center;width: 3cm; "> 7.39 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-09 </td> <td style="text-align:center;width: 3cm; "> 6.94 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-10 </td> <td style="text-align:center;width: 3cm; "> 7.50 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-11 </td> <td style="text-align:center;width: 3cm; "> 7.21 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-12 </td> <td style="text-align:center;width: 3cm; "> 7.80 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-13 </td> <td style="text-align:center;width: 3cm; "> 7.25 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-14 </td> <td style="text-align:center;width: 3cm; "> 7.21 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-15 </td> <td style="text-align:center;width: 3cm; "> 7.57 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-16 </td> <td style="text-align:center;width: 3cm; "> 7.98 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-17 </td> <td style="text-align:center;width: 3cm; "> 6.94 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-18 </td> <td style="text-align:center;width: 3cm; "> 7.33 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-19 </td> <td style="text-align:center;width: 3cm; "> 7.03 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-20 </td> <td style="text-align:center;width: 3cm; "> 7.76 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-21 </td> <td style="text-align:center;width: 3cm; "> 6.87 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-22 </td> <td style="text-align:center;width: 3cm; "> 8.23 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-23 </td> <td style="text-align:center;width: 3cm; "> 7.99 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-24 </td> <td style="text-align:center;width: 3cm; "> 7.84 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-25 </td> <td style="text-align:center;width: 3cm; "> 7.74 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-26 </td> <td style="text-align:center;width: 3cm; "> 7.24 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-27 </td> <td style="text-align:center;width: 3cm; "> 7.56 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-28 </td> <td style="text-align:center;width: 3cm; "> 8.25 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-29 </td> <td style="text-align:center;width: 3cm; "> 7.66 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-06-30 </td> <td style="text-align:center;width: 3cm; "> 8.18 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-01 </td> <td style="text-align:center;width: 3cm; "> 7.12 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-02 </td> <td style="text-align:center;width: 3cm; "> 7.92 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-03 </td> <td style="text-align:center;width: 3cm; "> 7.03 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-04 </td> <td style="text-align:center;width: 3cm; "> 7.69 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-05 </td> <td style="text-align:center;width: 3cm; "> 7.46 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-06 </td> <td style="text-align:center;width: 3cm; "> 7.03 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-07 </td> <td style="text-align:center;width: 3cm; "> 7.63 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-08 </td> <td style="text-align:center;width: 3cm; "> 8.33 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-09 </td> <td style="text-align:center;width: 3cm; "> 8.30 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-10 </td> <td style="text-align:center;width: 3cm; "> 7.05 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-11 </td> <td style="text-align:center;width: 3cm; "> 7.14 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-12 </td> <td style="text-align:center;width: 3cm; "> 8.47 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-13 </td> <td style="text-align:center;width: 3cm; "> 7.74 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-14 </td> <td style="text-align:center;width: 3cm; "> 8.37 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-15 </td> <td style="text-align:center;width: 3cm; "> 7.43 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-16 </td> <td style="text-align:center;width: 3cm; "> 7.31 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-17 </td> <td style="text-align:center;width: 3cm; "> 7.82 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-18 </td> <td style="text-align:center;width: 3cm; "> 6.80 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-19 </td> <td style="text-align:center;width: 3cm; "> 7.65 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-20 </td> <td style="text-align:center;width: 3cm; "> 6.98 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-21 </td> <td style="text-align:center;width: 3cm; "> 8.42 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-22 </td> <td style="text-align:center;width: 3cm; "> 7.70 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-23 </td> <td style="text-align:center;width: 3cm; "> 7.53 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-24 </td> <td style="text-align:center;width: 3cm; "> 7.31 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-25 </td> <td style="text-align:center;width: 3cm; "> 8.26 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-26 </td> <td style="text-align:center;width: 3cm; "> 7.23 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-27 </td> <td style="text-align:center;width: 3cm; "> 7.08 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-28 </td> <td style="text-align:center;width: 3cm; "> 6.84 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-29 </td> <td style="text-align:center;width: 3cm; "> 6.84 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-30 </td> <td style="text-align:center;width: 3cm; "> 7.46 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-07-31 </td> <td style="text-align:center;width: 3cm; "> 7.01 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-01 </td> <td style="text-align:center;width: 3cm; "> 6.93 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-02 </td> <td style="text-align:center;width: 3cm; "> 7.85 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-03 </td> <td style="text-align:center;width: 3cm; "> 6.60 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-04 </td> <td style="text-align:center;width: 3cm; "> 7.90 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-05 </td> <td style="text-align:center;width: 3cm; "> 7.20 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-06 </td> <td style="text-align:center;width: 3cm; "> 7.32 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-07 </td> <td style="text-align:center;width: 3cm; "> 8.14 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-08 </td> <td style="text-align:center;width: 3cm; "> 8.34 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-09 </td> <td style="text-align:center;width: 3cm; "> 7.07 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-10 </td> <td style="text-align:center;width: 3cm; "> 8.42 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-11 </td> <td style="text-align:center;width: 3cm; "> 7.96 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-12 </td> <td style="text-align:center;width: 3cm; "> 7.87 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-13 </td> <td style="text-align:center;width: 3cm; "> 6.61 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-14 </td> <td style="text-align:center;width: 3cm; "> 7.29 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-15 </td> <td style="text-align:center;width: 3cm; "> 7.46 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-16 </td> <td style="text-align:center;width: 3cm; "> 7.62 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-17 </td> <td style="text-align:center;width: 3cm; "> 7.90 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-18 </td> <td style="text-align:center;width: 3cm; "> 8.33 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-19 </td> <td style="text-align:center;width: 3cm; "> 7.74 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-20 </td> <td style="text-align:center;width: 3cm; "> 7.36 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-21 </td> <td style="text-align:center;width: 3cm; "> 7.58 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-22 </td> <td style="text-align:center;width: 3cm; "> 6.62 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-23 </td> <td style="text-align:center;width: 3cm; "> 7.02 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-24 </td> <td style="text-align:center;width: 3cm; "> 7.29 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-25 </td> <td style="text-align:center;width: 3cm; "> 6.90 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-26 </td> <td style="text-align:center;width: 3cm; "> 8.16 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-27 </td> <td style="text-align:center;width: 3cm; "> 6.81 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-28 </td> <td style="text-align:center;width: 3cm; "> 8.11 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-29 </td> <td style="text-align:center;width: 3cm; "> 7.59 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-30 </td> <td style="text-align:center;width: 3cm; "> 7.82 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-08-31 </td> <td style="text-align:center;width: 3cm; "> 6.84 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-01 </td> <td style="text-align:center;width: 3cm; "> 7.77 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-02 </td> <td style="text-align:center;width: 3cm; "> 7.12 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-03 </td> <td style="text-align:center;width: 3cm; "> 7.95 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-04 </td> <td style="text-align:center;width: 3cm; "> 7.30 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-05 </td> <td style="text-align:center;width: 3cm; "> 8.44 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-06 </td> <td style="text-align:center;width: 3cm; "> 8.43 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-07 </td> <td style="text-align:center;width: 3cm; "> 7.95 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-08 </td> <td style="text-align:center;width: 3cm; "> 7.01 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-09 </td> <td style="text-align:center;width: 3cm; "> 6.94 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-10 </td> <td style="text-align:center;width: 3cm; "> 7.69 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-11 </td> <td style="text-align:center;width: 3cm; "> 7.04 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-12 </td> <td style="text-align:center;width: 3cm; "> 7.56 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-13 </td> <td style="text-align:center;width: 3cm; "> 8.07 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-14 </td> <td style="text-align:center;width: 3cm; "> 6.84 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-15 </td> <td style="text-align:center;width: 3cm; "> 7.31 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-16 </td> <td style="text-align:center;width: 3cm; "> 7.44 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-17 </td> <td style="text-align:center;width: 3cm; "> 8.24 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-18 </td> <td style="text-align:center;width: 3cm; "> 8.35 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-19 </td> <td style="text-align:center;width: 3cm; "> 8.26 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-20 </td> <td style="text-align:center;width: 3cm; "> 7.85 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-21 </td> <td style="text-align:center;width: 3cm; "> 8.40 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-22 </td> <td style="text-align:center;width: 3cm; "> 7.53 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-23 </td> <td style="text-align:center;width: 3cm; "> 7.65 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-24 </td> <td style="text-align:center;width: 3cm; "> 7.17 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-25 </td> <td style="text-align:center;width: 3cm; "> 7.19 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-26 </td> <td style="text-align:center;width: 3cm; "> 6.54 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-27 </td> <td style="text-align:center;width: 3cm; "> 7.51 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-28 </td> <td style="text-align:center;width: 3cm; "> 8.24 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-29 </td> <td style="text-align:center;width: 3cm; "> 6.51 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-09-30 </td> <td style="text-align:center;width: 3cm; "> 6.64 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-01 </td> <td style="text-align:center;width: 3cm; "> 6.83 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-02 </td> <td style="text-align:center;width: 3cm; "> 8.04 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-03 </td> <td style="text-align:center;width: 3cm; "> 7.97 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-04 </td> <td style="text-align:center;width: 3cm; "> 8.44 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-05 </td> <td style="text-align:center;width: 3cm; "> 7.43 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-06 </td> <td style="text-align:center;width: 3cm; "> 6.65 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-07 </td> <td style="text-align:center;width: 3cm; "> 7.80 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-08 </td> <td style="text-align:center;width: 3cm; "> 8.02 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-09 </td> <td style="text-align:center;width: 3cm; "> 6.77 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-10 </td> <td style="text-align:center;width: 3cm; "> 7.29 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-11 </td> <td style="text-align:center;width: 3cm; "> 6.95 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-12 </td> <td style="text-align:center;width: 3cm; "> 6.62 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-13 </td> <td style="text-align:center;width: 3cm; "> 7.29 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-14 </td> <td style="text-align:center;width: 3cm; "> 6.63 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-15 </td> <td style="text-align:center;width: 3cm; "> 6.95 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-16 </td> <td style="text-align:center;width: 3cm; "> 6.61 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-17 </td> <td style="text-align:center;width: 3cm; "> 7.84 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-18 </td> <td style="text-align:center;width: 3cm; "> 7.10 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-19 </td> <td style="text-align:center;width: 3cm; "> 6.70 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-20 </td> <td style="text-align:center;width: 3cm; "> 6.64 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-21 </td> <td style="text-align:center;width: 3cm; "> 8.26 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-22 </td> <td style="text-align:center;width: 3cm; "> 8.01 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-23 </td> <td style="text-align:center;width: 3cm; "> 8.13 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-24 </td> <td style="text-align:center;width: 3cm; "> 8.46 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-25 </td> <td style="text-align:center;width: 3cm; "> 6.71 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-26 </td> <td style="text-align:center;width: 3cm; "> 6.70 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-27 </td> <td style="text-align:center;width: 3cm; "> 8.10 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-28 </td> <td style="text-align:center;width: 3cm; "> 8.07 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-29 </td> <td style="text-align:center;width: 3cm; "> 6.52 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-30 </td> <td style="text-align:center;width: 3cm; "> 8.06 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-10-31 </td> <td style="text-align:center;width: 3cm; "> 7.96 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-01 </td> <td style="text-align:center;width: 3cm; "> 7.76 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-02 </td> <td style="text-align:center;width: 3cm; "> 7.46 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-03 </td> <td style="text-align:center;width: 3cm; "> 6.81 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-04 </td> <td style="text-align:center;width: 3cm; "> 6.52 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-05 </td> <td style="text-align:center;width: 3cm; "> 7.40 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-06 </td> <td style="text-align:center;width: 3cm; "> 7.48 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-07 </td> <td style="text-align:center;width: 3cm; "> 7.28 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-08 </td> <td style="text-align:center;width: 3cm; "> 7.43 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-09 </td> <td style="text-align:center;width: 3cm; "> 7.93 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-10 </td> <td style="text-align:center;width: 3cm; "> 6.61 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-11 </td> <td style="text-align:center;width: 3cm; "> 7.21 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-12 </td> <td style="text-align:center;width: 3cm; "> 8.11 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-13 </td> <td style="text-align:center;width: 3cm; "> 8.17 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-14 </td> <td style="text-align:center;width: 3cm; "> 6.98 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-15 </td> <td style="text-align:center;width: 3cm; "> 7.21 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-16 </td> <td style="text-align:center;width: 3cm; "> 8.21 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-17 </td> <td style="text-align:center;width: 3cm; "> 8.21 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-18 </td> <td style="text-align:center;width: 3cm; "> 7.09 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-19 </td> <td style="text-align:center;width: 3cm; "> 6.79 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-20 </td> <td style="text-align:center;width: 3cm; "> 7.91 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-21 </td> <td style="text-align:center;width: 3cm; "> 6.71 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-22 </td> <td style="text-align:center;width: 3cm; "> 6.57 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-23 </td> <td style="text-align:center;width: 3cm; "> 8.50 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-24 </td> <td style="text-align:center;width: 3cm; "> 6.57 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-25 </td> <td style="text-align:center;width: 3cm; "> 7.18 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-26 </td> <td style="text-align:center;width: 3cm; "> 8.33 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-27 </td> <td style="text-align:center;width: 3cm; "> 7.73 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-28 </td> <td style="text-align:center;width: 3cm; "> 7.07 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-29 </td> <td style="text-align:center;width: 3cm; "> 7.98 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-11-30 </td> <td style="text-align:center;width: 3cm; "> 8.17 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-01 </td> <td style="text-align:center;width: 3cm; "> 7.13 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-02 </td> <td style="text-align:center;width: 3cm; "> 7.49 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-03 </td> <td style="text-align:center;width: 3cm; "> 7.89 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-04 </td> <td style="text-align:center;width: 3cm; "> 7.78 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-05 </td> <td style="text-align:center;width: 3cm; "> 7.79 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-06 </td> <td style="text-align:center;width: 3cm; "> 8.46 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-07 </td> <td style="text-align:center;width: 3cm; "> 7.33 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-08 </td> <td style="text-align:center;width: 3cm; "> 6.74 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-09 </td> <td style="text-align:center;width: 3cm; "> 7.55 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-10 </td> <td style="text-align:center;width: 3cm; "> 6.95 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-11 </td> <td style="text-align:center;width: 3cm; "> 7.47 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-12 </td> <td style="text-align:center;width: 3cm; "> 7.24 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-13 </td> <td style="text-align:center;width: 3cm; "> 8.47 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-14 </td> <td style="text-align:center;width: 3cm; "> 7.28 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-15 </td> <td style="text-align:center;width: 3cm; "> 6.96 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-16 </td> <td style="text-align:center;width: 3cm; "> 7.75 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-17 </td> <td style="text-align:center;width: 3cm; "> 6.77 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-18 </td> <td style="text-align:center;width: 3cm; "> 8.43 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-19 </td> <td style="text-align:center;width: 3cm; "> 7.53 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-20 </td> <td style="text-align:center;width: 3cm; "> 6.83 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-21 </td> <td style="text-align:center;width: 3cm; "> 7.74 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-22 </td> <td style="text-align:center;width: 3cm; "> 8.47 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-23 </td> <td style="text-align:center;width: 3cm; "> 7.84 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-24 </td> <td style="text-align:center;width: 3cm; "> 7.34 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-25 </td> <td style="text-align:center;width: 3cm; "> 7.15 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-26 </td> <td style="text-align:center;width: 3cm; "> 8.17 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-27 </td> <td style="text-align:center;width: 3cm; "> 6.79 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-28 </td> <td style="text-align:center;width: 3cm; "> 6.89 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-29 </td> <td style="text-align:center;width: 3cm; "> 8.29 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-30 </td> <td style="text-align:center;width: 3cm; "> 7.12 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2022-12-31 </td> <td style="text-align:center;width: 3cm; "> 7.23 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-01 </td> <td style="text-align:center;width: 3cm; "> 8.07 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-02 </td> <td style="text-align:center;width: 3cm; "> 6.89 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-03 </td> <td style="text-align:center;width: 3cm; "> 6.54 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-04 </td> <td style="text-align:center;width: 3cm; "> 7.31 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-05 </td> <td style="text-align:center;width: 3cm; "> 7.47 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-06 </td> <td style="text-align:center;width: 3cm; "> 7.34 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-07 </td> <td style="text-align:center;width: 3cm; "> 7.19 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-08 </td> <td style="text-align:center;width: 3cm; "> 8.23 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-09 </td> <td style="text-align:center;width: 3cm; "> 7.41 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-10 </td> <td style="text-align:center;width: 3cm; "> 7.57 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-11 </td> <td style="text-align:center;width: 3cm; "> 8.43 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-12 </td> <td style="text-align:center;width: 3cm; "> 8.05 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-13 </td> <td style="text-align:center;width: 3cm; "> 6.92 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-14 </td> <td style="text-align:center;width: 3cm; "> 7.12 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-15 </td> <td style="text-align:center;width: 3cm; "> 8.44 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-16 </td> <td style="text-align:center;width: 3cm; "> 7.67 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-17 </td> <td style="text-align:center;width: 3cm; "> 8.02 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-18 </td> <td style="text-align:center;width: 3cm; "> 7.25 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-19 </td> <td style="text-align:center;width: 3cm; "> 8.04 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-20 </td> <td style="text-align:center;width: 3cm; "> 7.58 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-21 </td> <td style="text-align:center;width: 3cm; "> 8.33 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-22 </td> <td style="text-align:center;width: 3cm; "> 6.87 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-23 </td> <td style="text-align:center;width: 3cm; "> 7.06 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-24 </td> <td style="text-align:center;width: 3cm; "> 6.69 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-25 </td> <td style="text-align:center;width: 3cm; "> 6.92 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-26 </td> <td style="text-align:center;width: 3cm; "> 8.45 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-27 </td> <td style="text-align:center;width: 3cm; "> 7.09 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-28 </td> <td style="text-align:center;width: 3cm; "> 7.95 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-29 </td> <td style="text-align:center;width: 3cm; "> 8.07 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-30 </td> <td style="text-align:center;width: 3cm; "> 6.71 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-01-31 </td> <td style="text-align:center;width: 3cm; "> 6.98 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-02-01 </td> <td style="text-align:center;width: 3cm; "> 7.04 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-02-02 </td> <td style="text-align:center;width: 3cm; "> 6.70 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-02-03 </td> <td style="text-align:center;width: 3cm; "> 6.74 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-02-04 </td> <td style="text-align:center;width: 3cm; "> 8.48 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-02-05 </td> <td style="text-align:center;width: 3cm; "> 8.47 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-02-06 </td> <td style="text-align:center;width: 3cm; "> 6.77 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-02-07 </td> <td style="text-align:center;width: 3cm; "> 8.31 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-02-08 </td> <td style="text-align:center;width: 3cm; "> 7.65 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-02-09 </td> <td style="text-align:center;width: 3cm; "> 7.29 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-02-10 </td> <td style="text-align:center;width: 3cm; "> 7.40 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-02-11 </td> <td style="text-align:center;width: 3cm; "> 7.91 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-02-12 </td> <td style="text-align:center;width: 3cm; "> 6.67 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-02-13 </td> <td style="text-align:center;width: 3cm; "> 7.18 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-02-14 </td> <td style="text-align:center;width: 3cm; "> 7.86 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-02-15 </td> <td style="text-align:center;width: 3cm; "> 7.13 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-02-16 </td> <td style="text-align:center;width: 3cm; "> 8.16 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-02-17 </td> <td style="text-align:center;width: 3cm; "> 6.93 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-02-18 </td> <td style="text-align:center;width: 3cm; "> 7.50 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-02-19 </td> <td style="text-align:center;width: 3cm; "> 7.05 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-02-20 </td> <td style="text-align:center;width: 3cm; "> 6.88 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-02-21 </td> <td style="text-align:center;width: 3cm; "> 8.40 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-02-22 </td> <td style="text-align:center;width: 3cm; "> 7.14 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-02-23 </td> <td style="text-align:center;width: 3cm; "> 7.46 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-02-24 </td> <td style="text-align:center;width: 3cm; "> 6.56 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-02-25 </td> <td style="text-align:center;width: 3cm; "> 7.59 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-02-26 </td> <td style="text-align:center;width: 3cm; "> 7.79 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-02-27 </td> <td style="text-align:center;width: 3cm; "> 7.69 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-02-28 </td> <td style="text-align:center;width: 3cm; "> 7.14 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-01 </td> <td style="text-align:center;width: 3cm; "> 8.28 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-02 </td> <td style="text-align:center;width: 3cm; "> 7.75 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-03 </td> <td style="text-align:center;width: 3cm; "> 7.11 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-04 </td> <td style="text-align:center;width: 3cm; "> 7.28 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-05 </td> <td style="text-align:center;width: 3cm; "> 6.82 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-06 </td> <td style="text-align:center;width: 3cm; "> 8.23 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-07 </td> <td style="text-align:center;width: 3cm; "> 8.41 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-08 </td> <td style="text-align:center;width: 3cm; "> 7.63 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-09 </td> <td style="text-align:center;width: 3cm; "> 7.16 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-10 </td> <td style="text-align:center;width: 3cm; "> 8.49 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-11 </td> <td style="text-align:center;width: 3cm; "> 6.97 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-12 </td> <td style="text-align:center;width: 3cm; "> 7.73 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-13 </td> <td style="text-align:center;width: 3cm; "> 6.72 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-14 </td> <td style="text-align:center;width: 3cm; "> 7.47 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-15 </td> <td style="text-align:center;width: 3cm; "> 6.70 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-16 </td> <td style="text-align:center;width: 3cm; "> 6.82 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-17 </td> <td style="text-align:center;width: 3cm; "> 7.07 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-18 </td> <td style="text-align:center;width: 3cm; "> 7.67 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-19 </td> <td style="text-align:center;width: 3cm; "> 7.96 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-20 </td> <td style="text-align:center;width: 3cm; "> 6.83 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-21 </td> <td style="text-align:center;width: 3cm; "> 8.23 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-22 </td> <td style="text-align:center;width: 3cm; "> 7.92 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-23 </td> <td style="text-align:center;width: 3cm; "> 8.02 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-24 </td> <td style="text-align:center;width: 3cm; "> 6.79 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-25 </td> <td style="text-align:center;width: 3cm; "> 7.22 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-26 </td> <td style="text-align:center;width: 3cm; "> 7.85 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-27 </td> <td style="text-align:center;width: 3cm; "> 7.55 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-28 </td> <td style="text-align:center;width: 3cm; "> 7.20 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-29 </td> <td style="text-align:center;width: 3cm; "> 6.98 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-30 </td> <td style="text-align:center;width: 3cm; "> 6.62 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-03-31 </td> <td style="text-align:center;width: 3cm; "> 6.97 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-01 </td> <td style="text-align:center;width: 3cm; "> 8.28 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-02 </td> <td style="text-align:center;width: 3cm; "> 8.12 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-03 </td> <td style="text-align:center;width: 3cm; "> 8.00 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-04 </td> <td style="text-align:center;width: 3cm; "> 6.81 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-05 </td> <td style="text-align:center;width: 3cm; "> 6.75 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-06 </td> <td style="text-align:center;width: 3cm; "> 8.45 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-07 </td> <td style="text-align:center;width: 3cm; "> 7.37 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-08 </td> <td style="text-align:center;width: 3cm; "> 7.43 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-09 </td> <td style="text-align:center;width: 3cm; "> 6.83 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-10 </td> <td style="text-align:center;width: 3cm; "> 7.67 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-11 </td> <td style="text-align:center;width: 3cm; "> 7.04 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-12 </td> <td style="text-align:center;width: 3cm; "> 6.96 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-13 </td> <td style="text-align:center;width: 3cm; "> 7.88 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-14 </td> <td style="text-align:center;width: 3cm; "> 7.07 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-15 </td> <td style="text-align:center;width: 3cm; "> 8.12 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-16 </td> <td style="text-align:center;width: 3cm; "> 6.69 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-17 </td> <td style="text-align:center;width: 3cm; "> 8.14 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-18 </td> <td style="text-align:center;width: 3cm; "> 7.35 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-19 </td> <td style="text-align:center;width: 3cm; "> 8.01 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-20 </td> <td style="text-align:center;width: 3cm; "> 7.82 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-21 </td> <td style="text-align:center;width: 3cm; "> 7.39 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-22 </td> <td style="text-align:center;width: 3cm; "> 7.75 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-23 </td> <td style="text-align:center;width: 3cm; "> 6.50 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-24 </td> <td style="text-align:center;width: 3cm; "> 6.93 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-25 </td> <td style="text-align:center;width: 3cm; "> 7.91 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-26 </td> <td style="text-align:center;width: 3cm; "> 6.93 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-27 </td> <td style="text-align:center;width: 3cm; "> 8.13 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-28 </td> <td style="text-align:center;width: 3cm; "> 7.12 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-29 </td> <td style="text-align:center;width: 3cm; "> 7.88 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-04-30 </td> <td style="text-align:center;width: 3cm; "> 8.37 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-01 </td> <td style="text-align:center;width: 3cm; "> 6.73 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-02 </td> <td style="text-align:center;width: 3cm; "> 6.76 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-03 </td> <td style="text-align:center;width: 3cm; "> 7.86 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-04 </td> <td style="text-align:center;width: 3cm; "> 7.36 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-05 </td> <td style="text-align:center;width: 3cm; "> 8.17 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-06 </td> <td style="text-align:center;width: 3cm; "> 8.44 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-07 </td> <td style="text-align:center;width: 3cm; "> 6.64 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-08 </td> <td style="text-align:center;width: 3cm; "> 7.42 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-09 </td> <td style="text-align:center;width: 3cm; "> 7.90 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-10 </td> <td style="text-align:center;width: 3cm; "> 6.67 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-11 </td> <td style="text-align:center;width: 3cm; "> 8.49 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-12 </td> <td style="text-align:center;width: 3cm; "> 7.01 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-13 </td> <td style="text-align:center;width: 3cm; "> 6.60 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-14 </td> <td style="text-align:center;width: 3cm; "> 7.87 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-15 </td> <td style="text-align:center;width: 3cm; "> 8.07 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-16 </td> <td style="text-align:center;width: 3cm; "> 7.21 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-17 </td> <td style="text-align:center;width: 3cm; "> 7.23 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-18 </td> <td style="text-align:center;width: 3cm; "> 7.07 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-19 </td> <td style="text-align:center;width: 3cm; "> 6.66 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-20 </td> <td style="text-align:center;width: 3cm; "> 7.23 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-21 </td> <td style="text-align:center;width: 3cm; "> 6.86 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-22 </td> <td style="text-align:center;width: 3cm; "> 7.57 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-23 </td> <td style="text-align:center;width: 3cm; "> 7.51 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-24 </td> <td style="text-align:center;width: 3cm; "> 8.39 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-25 </td> <td style="text-align:center;width: 3cm; "> 7.18 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-26 </td> <td style="text-align:center;width: 3cm; "> 7.43 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-27 </td> <td style="text-align:center;width: 3cm; "> 6.67 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-28 </td> <td style="text-align:center;width: 3cm; "> 8.22 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-29 </td> <td style="text-align:center;width: 3cm; "> 7.29 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-30 </td> <td style="text-align:center;width: 3cm; "> 7.97 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-05-31 </td> <td style="text-align:center;width: 3cm; "> 6.84 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-01 </td> <td style="text-align:center;width: 3cm; "> 7.41 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-02 </td> <td style="text-align:center;width: 3cm; "> 8.04 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-03 </td> <td style="text-align:center;width: 3cm; "> 6.63 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-04 </td> <td style="text-align:center;width: 3cm; "> 8.13 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-05 </td> <td style="text-align:center;width: 3cm; "> 7.10 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-06 </td> <td style="text-align:center;width: 3cm; "> 7.23 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-07 </td> <td style="text-align:center;width: 3cm; "> 7.12 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-08 </td> <td style="text-align:center;width: 3cm; "> 6.57 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-09 </td> <td style="text-align:center;width: 3cm; "> 7.54 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-10 </td> <td style="text-align:center;width: 3cm; "> 7.86 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-11 </td> <td style="text-align:center;width: 3cm; "> 8.31 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-12 </td> <td style="text-align:center;width: 3cm; "> 6.55 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-13 </td> <td style="text-align:center;width: 3cm; "> 8.48 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-14 </td> <td style="text-align:center;width: 3cm; "> 7.11 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-15 </td> <td style="text-align:center;width: 3cm; "> 8.38 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-16 </td> <td style="text-align:center;width: 3cm; "> 7.88 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-17 </td> <td style="text-align:center;width: 3cm; "> 7.39 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-18 </td> <td style="text-align:center;width: 3cm; "> 8.13 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-19 </td> <td style="text-align:center;width: 3cm; "> 6.58 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-20 </td> <td style="text-align:center;width: 3cm; "> 7.98 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-21 </td> <td style="text-align:center;width: 3cm; "> 7.20 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-22 </td> <td style="text-align:center;width: 3cm; "> 8.16 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-23 </td> <td style="text-align:center;width: 3cm; "> 7.57 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-24 </td> <td style="text-align:center;width: 3cm; "> 7.05 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-25 </td> <td style="text-align:center;width: 3cm; "> 8.10 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-26 </td> <td style="text-align:center;width: 3cm; "> 6.68 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-27 </td> <td style="text-align:center;width: 3cm; "> 8.16 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-28 </td> <td style="text-align:center;width: 3cm; "> 7.05 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-29 </td> <td style="text-align:center;width: 3cm; "> 8.01 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-06-30 </td> <td style="text-align:center;width: 3cm; "> 8.43 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-01 </td> <td style="text-align:center;width: 3cm; "> 6.66 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-02 </td> <td style="text-align:center;width: 3cm; "> 8.21 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-03 </td> <td style="text-align:center;width: 3cm; "> 8.10 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-04 </td> <td style="text-align:center;width: 3cm; "> 7.27 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-05 </td> <td style="text-align:center;width: 3cm; "> 7.16 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-06 </td> <td style="text-align:center;width: 3cm; "> 6.91 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-07 </td> <td style="text-align:center;width: 3cm; "> 7.64 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-08 </td> <td style="text-align:center;width: 3cm; "> 8.28 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-09 </td> <td style="text-align:center;width: 3cm; "> 7.56 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-10 </td> <td style="text-align:center;width: 3cm; "> 7.67 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-11 </td> <td style="text-align:center;width: 3cm; "> 7.83 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-12 </td> <td style="text-align:center;width: 3cm; "> 7.56 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-13 </td> <td style="text-align:center;width: 3cm; "> 7.52 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-14 </td> <td style="text-align:center;width: 3cm; "> 6.53 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-15 </td> <td style="text-align:center;width: 3cm; "> 6.60 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-16 </td> <td style="text-align:center;width: 3cm; "> 8.36 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-17 </td> <td style="text-align:center;width: 3cm; "> 8.04 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-18 </td> <td style="text-align:center;width: 3cm; "> 6.90 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-19 </td> <td style="text-align:center;width: 3cm; "> 7.80 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-20 </td> <td style="text-align:center;width: 3cm; "> 7.81 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-21 </td> <td style="text-align:center;width: 3cm; "> 7.29 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-22 </td> <td style="text-align:center;width: 3cm; "> 8.12 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-23 </td> <td style="text-align:center;width: 3cm; "> 7.59 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-24 </td> <td style="text-align:center;width: 3cm; "> 8.27 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-25 </td> <td style="text-align:center;width: 3cm; "> 7.61 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-26 </td> <td style="text-align:center;width: 3cm; "> 8.31 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-27 </td> <td style="text-align:center;width: 3cm; "> 7.67 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-28 </td> <td style="text-align:center;width: 3cm; "> 7.35 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-29 </td> <td style="text-align:center;width: 3cm; "> 8.40 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-30 </td> <td style="text-align:center;width: 3cm; "> 7.92 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-07-31 </td> <td style="text-align:center;width: 3cm; "> 7.33 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-01 </td> <td style="text-align:center;width: 3cm; "> 6.54 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-02 </td> <td style="text-align:center;width: 3cm; "> 7.63 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-03 </td> <td style="text-align:center;width: 3cm; "> 7.48 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-04 </td> <td style="text-align:center;width: 3cm; "> 8.26 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-05 </td> <td style="text-align:center;width: 3cm; "> 8.13 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-06 </td> <td style="text-align:center;width: 3cm; "> 8.21 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-07 </td> <td style="text-align:center;width: 3cm; "> 7.24 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-08 </td> <td style="text-align:center;width: 3cm; "> 8.25 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-09 </td> <td style="text-align:center;width: 3cm; "> 6.80 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-10 </td> <td style="text-align:center;width: 3cm; "> 7.06 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-11 </td> <td style="text-align:center;width: 3cm; "> 7.83 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-12 </td> <td style="text-align:center;width: 3cm; "> 8.45 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-13 </td> <td style="text-align:center;width: 3cm; "> 7.67 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-14 </td> <td style="text-align:center;width: 3cm; "> 7.55 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-15 </td> <td style="text-align:center;width: 3cm; "> 6.62 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-16 </td> <td style="text-align:center;width: 3cm; "> 8.44 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-17 </td> <td style="text-align:center;width: 3cm; "> 6.74 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-18 </td> <td style="text-align:center;width: 3cm; "> 6.68 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-19 </td> <td style="text-align:center;width: 3cm; "> 8.26 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-20 </td> <td style="text-align:center;width: 3cm; "> 7.52 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-21 </td> <td style="text-align:center;width: 3cm; "> 7.17 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-22 </td> <td style="text-align:center;width: 3cm; "> 8.29 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-23 </td> <td style="text-align:center;width: 3cm; "> 6.56 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-24 </td> <td style="text-align:center;width: 3cm; "> 6.97 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-25 </td> <td style="text-align:center;width: 3cm; "> 7.87 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-26 </td> <td style="text-align:center;width: 3cm; "> 6.95 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-27 </td> <td style="text-align:center;width: 3cm; "> 7.14 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-28 </td> <td style="text-align:center;width: 3cm; "> 6.85 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-29 </td> <td style="text-align:center;width: 3cm; "> 8.10 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-30 </td> <td style="text-align:center;width: 3cm; "> 6.79 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-08-31 </td> <td style="text-align:center;width: 3cm; "> 8.15 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-01 </td> <td style="text-align:center;width: 3cm; "> 7.16 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-02 </td> <td style="text-align:center;width: 3cm; "> 7.25 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-03 </td> <td style="text-align:center;width: 3cm; "> 7.76 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-04 </td> <td style="text-align:center;width: 3cm; "> 6.69 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-05 </td> <td style="text-align:center;width: 3cm; "> 6.54 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-06 </td> <td style="text-align:center;width: 3cm; "> 8.49 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-07 </td> <td style="text-align:center;width: 3cm; "> 7.67 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-08 </td> <td style="text-align:center;width: 3cm; "> 8.06 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-09 </td> <td style="text-align:center;width: 3cm; "> 8.28 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-10 </td> <td style="text-align:center;width: 3cm; "> 8.01 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-11 </td> <td style="text-align:center;width: 3cm; "> 8.46 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-12 </td> <td style="text-align:center;width: 3cm; "> 6.59 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-13 </td> <td style="text-align:center;width: 3cm; "> 8.31 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-14 </td> <td style="text-align:center;width: 3cm; "> 8.23 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-15 </td> <td style="text-align:center;width: 3cm; "> 8.05 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-16 </td> <td style="text-align:center;width: 3cm; "> 7.25 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-17 </td> <td style="text-align:center;width: 3cm; "> 6.58 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-18 </td> <td style="text-align:center;width: 3cm; "> 7.23 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-19 </td> <td style="text-align:center;width: 3cm; "> 7.05 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-20 </td> <td style="text-align:center;width: 3cm; "> 8.20 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-21 </td> <td style="text-align:center;width: 3cm; "> 7.22 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-22 </td> <td style="text-align:center;width: 3cm; "> 7.11 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-23 </td> <td style="text-align:center;width: 3cm; "> 8.02 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-24 </td> <td style="text-align:center;width: 3cm; "> 8.19 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-25 </td> <td style="text-align:center;width: 3cm; "> 7.42 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-26 </td> <td style="text-align:center;width: 3cm; "> 7.96 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-27 </td> <td style="text-align:center;width: 3cm; "> 6.71 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-28 </td> <td style="text-align:center;width: 3cm; "> 6.94 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-29 </td> <td style="text-align:center;width: 3cm; "> 8.41 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-09-30 </td> <td style="text-align:center;width: 3cm; "> 8.00 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-01 </td> <td style="text-align:center;width: 3cm; "> 8.14 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-02 </td> <td style="text-align:center;width: 3cm; "> 7.34 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-03 </td> <td style="text-align:center;width: 3cm; "> 7.69 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-04 </td> <td style="text-align:center;width: 3cm; "> 8.10 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-05 </td> <td style="text-align:center;width: 3cm; "> 8.28 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-06 </td> <td style="text-align:center;width: 3cm; "> 7.27 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-07 </td> <td style="text-align:center;width: 3cm; "> 6.68 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-08 </td> <td style="text-align:center;width: 3cm; "> 7.75 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-09 </td> <td style="text-align:center;width: 3cm; "> 7.99 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-10 </td> <td style="text-align:center;width: 3cm; "> 6.67 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-11 </td> <td style="text-align:center;width: 3cm; "> 7.10 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-12 </td> <td style="text-align:center;width: 3cm; "> 7.73 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-13 </td> <td style="text-align:center;width: 3cm; "> 8.01 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-14 </td> <td style="text-align:center;width: 3cm; "> 8.33 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-15 </td> <td style="text-align:center;width: 3cm; "> 7.45 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-16 </td> <td style="text-align:center;width: 3cm; "> 7.63 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-17 </td> <td style="text-align:center;width: 3cm; "> 7.97 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-18 </td> <td style="text-align:center;width: 3cm; "> 8.21 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-19 </td> <td style="text-align:center;width: 3cm; "> 8.32 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-20 </td> <td style="text-align:center;width: 3cm; "> 6.61 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-21 </td> <td style="text-align:center;width: 3cm; "> 7.51 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-22 </td> <td style="text-align:center;width: 3cm; "> 7.20 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-23 </td> <td style="text-align:center;width: 3cm; "> 8.19 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-24 </td> <td style="text-align:center;width: 3cm; "> 8.11 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-25 </td> <td style="text-align:center;width: 3cm; "> 6.73 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-26 </td> <td style="text-align:center;width: 3cm; "> 7.93 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-27 </td> <td style="text-align:center;width: 3cm; "> 6.97 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-28 </td> <td style="text-align:center;width: 3cm; "> 6.65 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-29 </td> <td style="text-align:center;width: 3cm; "> 8.37 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-30 </td> <td style="text-align:center;width: 3cm; "> 6.81 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-10-31 </td> <td style="text-align:center;width: 3cm; "> 7.79 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-01 </td> <td style="text-align:center;width: 3cm; "> 6.85 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-02 </td> <td style="text-align:center;width: 3cm; "> 6.54 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-03 </td> <td style="text-align:center;width: 3cm; "> 7.54 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-04 </td> <td style="text-align:center;width: 3cm; "> 6.67 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-05 </td> <td style="text-align:center;width: 3cm; "> 7.07 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-06 </td> <td style="text-align:center;width: 3cm; "> 7.34 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-07 </td> <td style="text-align:center;width: 3cm; "> 7.67 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-08 </td> <td style="text-align:center;width: 3cm; "> 8.11 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-09 </td> <td style="text-align:center;width: 3cm; "> 6.90 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-10 </td> <td style="text-align:center;width: 3cm; "> 7.42 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-11 </td> <td style="text-align:center;width: 3cm; "> 7.40 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-12 </td> <td style="text-align:center;width: 3cm; "> 7.97 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-13 </td> <td style="text-align:center;width: 3cm; "> 7.93 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-14 </td> <td style="text-align:center;width: 3cm; "> 8.16 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-15 </td> <td style="text-align:center;width: 3cm; "> 8.27 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-16 </td> <td style="text-align:center;width: 3cm; "> 8.41 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-17 </td> <td style="text-align:center;width: 3cm; "> 7.60 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-18 </td> <td style="text-align:center;width: 3cm; "> 7.54 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-19 </td> <td style="text-align:center;width: 3cm; "> 6.84 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-20 </td> <td style="text-align:center;width: 3cm; "> 7.46 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-21 </td> <td style="text-align:center;width: 3cm; "> 7.01 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-22 </td> <td style="text-align:center;width: 3cm; "> 6.58 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-23 </td> <td style="text-align:center;width: 3cm; "> 7.77 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-24 </td> <td style="text-align:center;width: 3cm; "> 7.58 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-25 </td> <td style="text-align:center;width: 3cm; "> 6.78 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-26 </td> <td style="text-align:center;width: 3cm; "> 7.07 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-27 </td> <td style="text-align:center;width: 3cm; "> 7.67 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-28 </td> <td style="text-align:center;width: 3cm; "> 6.83 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-29 </td> <td style="text-align:center;width: 3cm; "> 6.69 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-11-30 </td> <td style="text-align:center;width: 3cm; "> 7.36 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-01 </td> <td style="text-align:center;width: 3cm; "> 7.21 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-02 </td> <td style="text-align:center;width: 3cm; "> 8.19 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-03 </td> <td style="text-align:center;width: 3cm; "> 7.02 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-04 </td> <td style="text-align:center;width: 3cm; "> 6.55 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-05 </td> <td style="text-align:center;width: 3cm; "> 8.22 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-06 </td> <td style="text-align:center;width: 3cm; "> 7.17 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-07 </td> <td style="text-align:center;width: 3cm; "> 7.76 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-08 </td> <td style="text-align:center;width: 3cm; "> 7.59 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-09 </td> <td style="text-align:center;width: 3cm; "> 7.25 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-10 </td> <td style="text-align:center;width: 3cm; "> 6.87 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-11 </td> <td style="text-align:center;width: 3cm; "> 7.36 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-12 </td> <td style="text-align:center;width: 3cm; "> 7.76 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-13 </td> <td style="text-align:center;width: 3cm; "> 7.54 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-14 </td> <td style="text-align:center;width: 3cm; "> 7.82 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-15 </td> <td style="text-align:center;width: 3cm; "> 7.96 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-16 </td> <td style="text-align:center;width: 3cm; "> 7.47 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-17 </td> <td style="text-align:center;width: 3cm; "> 7.27 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-18 </td> <td style="text-align:center;width: 3cm; "> 6.51 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-19 </td> <td style="text-align:center;width: 3cm; "> 6.51 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-20 </td> <td style="text-align:center;width: 3cm; "> 8.49 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-21 </td> <td style="text-align:center;width: 3cm; "> 6.72 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-22 </td> <td style="text-align:center;width: 3cm; "> 7.34 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-23 </td> <td style="text-align:center;width: 3cm; "> 7.94 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-24 </td> <td style="text-align:center;width: 3cm; "> 7.99 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-25 </td> <td style="text-align:center;width: 3cm; "> 8.24 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-26 </td> <td style="text-align:center;width: 3cm; "> 7.72 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-27 </td> <td style="text-align:center;width: 3cm; "> 8.01 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-28 </td> <td style="text-align:center;width: 3cm; "> 8.19 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-29 </td> <td style="text-align:center;width: 3cm; "> 7.73 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-30 </td> <td style="text-align:center;width: 3cm; "> 8.09 </td> </tr> <tr> <td style="text-align:center;width: 4cm; "> 2023-12-31 </td> <td style="text-align:center;width: 3cm; "> 6.55 </td> </tr> </tbody> </table> ] .pull-right[ ## Time series data - Sequence of data points recorded at regular time intervals. - Temporal dependency: Data points are dependent on time ] --- class: inverse, center, middle # Example 3 --- ## Spatial data .pull-left[ ![](image4.jpg) ] .pull-right[ ![](image5.jpg) ] - Measure the pH level of water at multiple locations on a given day. --- class: inverse, center, middle # Example 4 --- ## Spatio-temporal data .pull-left[ ![](image4.jpg) ] .pull-right[ ![](image5.jpg) ] - Measure the pH level of water at multiple locations daily at 10 PM over a two-year period. --- ![](ip11.png) --- class: inverse, middle, center ## Nature of your research problem --- ## Statistical Inference: (Point and Interval Estimates) Suppose you collect daily pH measurements from the Chicago River over a year. You want to **estimate** the average pH level of the river for the year. > Point Estimate > Interval Estimate (Confidence Interval) Eg: A 95% confidence interval for the mean pH might be (7.0, 7.4). --- ## Statistical Inference: Hypothesis Testing Suppose you are analyzing water quality data from the Chicago River and want to determine whether there is a significant difference in the average pH levels during the winter and summer months. `$$H_0: \mu_{winter} = \mu_{summer}$$` `$$H_1: \mu_{winter} \neq \mu_{summer}$$` --- ## Hypothesis testing: Parametric vs Non-parametric .pull-left[ ### Parametric - One-Sample t-Tests - Independent Two-Sample t-Test - Paired t-Test - One-Way ANOVA - Two-way ANOVA ] .pull-right[ ### Non-parametric - Chi-Square Test of Independence - Chi-Square Goodness-of-Fit Test - Mann-Whitney U Test - Wilcoxon Signed-Rank Test - Kruskal-Wallis H Test - Friedman Test ] --- ## Forecasting Measure the pH level of water at a specific location daily at 10 PM over a two-year period. You are interested in forecasting the pH level in the upcoming months based on historical data. --- ## Spatial Interpolation Suppose you have pH level measurements from various monitoring stations along the Chicago River, and you want to estimate the pH levels at unobserved locations between these stations. --- ## Cluster Analysis Problem - You have collected water quality data from various locations along the Chicago River, including multiple parameters such as pH, dissolved oxygen (DO), turbidity, temperature, and nitrate concentration. - The goal is to identify clusters of locations with similar water quality profiles, which could help in identifying areas with potential pollution sources or regions requiring special attention for water management. --- ## Making Predictions Predict the pH level of a river location based on various environmental and infrastructural features. --- .pull-left[ ### Supervised Learning **Dependent Variable:** pH level **Independent variables:** - The count of industrial establishments near the location - Average rainfall - Average temperature - Land use - Soil type ( (e.g., agriculture, urban, forest)) ] .pull-right[ ### Unsupervised Learning **Independent variables:** - pH level - The count of industrial establishments near the location - Average rainfall - Average temperature - Land use - Soil type ( (e.g., agriculture, urban, forest)) ] --- .pull-left[ ### Supervised Learning - Linear Regression - Logistic Regression - Decision Trees - Random Forest - Support Vector Machines (SVM) - k-Nearest Neighbors (k-NN) - Naive Bayes - XGBoost ] .pull-right[ ### Unsupervised Learning - Clustering - Principal Component Analysis (PCA) - Factor Analysis - Association Rules ] --- ## Descriptive Statistics - Measures of Location: describe the central tendency or typical value of a dataset (Mean, Median, Mode) - Measures of Dispersion: describe the spread or variability of the dataset (Variance, Standard Deviation, Interquartile Range) - Measures of Shape: describe the asymmetry and degree of peakness of the distribution (Skewness, Kurtosis) - Measures of Association: describe the strength and direction of relationships between variables (Spearman's correlation, Pearson's correlation coefficient) --- .pull-left[ ![](index_files/figure-html/unnamed-chunk-3-1.png)<!-- --> ] .pull-right[ <table class="table" style="font-size: 20px; color: black; margin-left: auto; margin-right: auto;"> <caption style="font-size: initial !important;">Descriptive Statistics for Each Distribution</caption> <thead> <tr> <th style="text-align:left;"> dist </th> <th style="text-align:right;"> Mean </th> <th style="text-align:right;"> Median </th> <th style="text-align:right;"> Variance </th> <th style="text-align:right;"> SD </th> <th style="text-align:right;"> Skewness </th> </tr> </thead> <tbody> <tr> <td style="text-align:left;"> s1 </td> <td style="text-align:right;"> -0.11 </td> <td style="text-align:right;"> -0.23 </td> <td style="text-align:right;"> 0.98 </td> <td style="text-align:right;"> 0.99 </td> <td style="text-align:right;"> 0.40 </td> </tr> <tr> <td style="text-align:left;"> s2 </td> <td style="text-align:right;"> 0.64 </td> <td style="text-align:right;"> 0.67 </td> <td style="text-align:right;"> 0.06 </td> <td style="text-align:right;"> 0.25 </td> <td style="text-align:right;"> -0.48 </td> </tr> <tr> <td style="text-align:left;"> s3 </td> <td style="text-align:right;"> 1.12 </td> <td style="text-align:right;"> 0.55 </td> <td style="text-align:right;"> 2.09 </td> <td style="text-align:right;"> 1.45 </td> <td style="text-align:right;"> 2.45 </td> </tr> <tr> <td style="text-align:left;"> s4 </td> <td style="text-align:right;"> 0.01 </td> <td style="text-align:right;"> -0.03 </td> <td style="text-align:right;"> 0.90 </td> <td style="text-align:right;"> 0.95 </td> <td style="text-align:right;"> 0.06 </td> </tr> </tbody> </table> ] --- ![](index_files/figure-html/unnamed-chunk-5-1.png)<!-- --> --- .pull-left[ ![](index_files/figure-html/unnamed-chunk-6-1.png)<!-- --> ] .pull-right[ **Among the scatter plots, which one exhibits the highest correlation coefficient?** ] --- ![](https://blog.revolutionanalytics.com/downloads/DataSaurus%20Dozen.gif) --- ## Data Visualisation Data visualization is a fundamental prerequisite for any data analysis project. - Visualization helps you gain an immediate understanding of the dataset - Visualizing the data helps in identifying missing data, errors, or inconsistencies that might need to be addressed before moving forward with analysis. - Effective visualizations allow analysts to communicate complex results clearly to stakeholders. --- ## Data Analysis with R: Lab Session - Introduction to R and RStudio - Data Visualization with R - Introduction to hypothesis testing Resources: https://vizmaster.netlify.app/note/ --- A chemist wants to measure the bias in a pH meter. She uses the meter to measure the pH in 14 neutral substances (pH=7) and obtains the data below. 7.01, 7.04, 6.97, 7.00, 6.99, 6.97, 7.04, 7.04, 7.01, 7.00, 6.99, 7.04, 7.07, 6.97 Is there sufficient evidence to support the claim that the pH meter is not correctly calibrated at the `\(\alpha\)` = 0.05 level of significance? --- ``` r ph <- c( 7.01, 7.04, 6.97, 7.00, 6.99, 6.97, 7.04, 7.04, 7.01, 7.00, 6.99, 7.04, 7.07, 6.97) ``` --- ``` r ph.df <- data.frame(pH=ph) ggplot(ph.df, aes(sample=pH))+ stat_qq() + stat_qq_line()+labs(x="Theoretical Quantiles", y="Sample Quantiles") ``` ![](index_files/figure-html/unnamed-chunk-8-1.png)<!-- --> ``` r shapiro.test(ph.df$pH) ``` ``` ## ## Shapiro-Wilk normality test ## ## data: ph.df$pH ## W = 0.91603, p-value = 0.1927 ``` --- H0: Data are normally distributed. H1: Data are not normally distributed --- `\(H_0: \mu = 7\)` `\(H_1: \mu \neq 7\)` ``` r t.test(ph.df$pH, alternative = "two.sided", mu=7) ``` ``` ## ## One Sample t-test ## ## data: ph.df$pH ## t = 1.1832, df = 13, p-value = 0.2579 ## alternative hypothesis: true mean is not equal to 7 ## 95 percent confidence interval: ## 6.991742 7.028258 ## sample estimates: ## mean of x ## 7.01 ``` --- class: title-slide, top, left, inverse background-image: url("sp.png") background-size: cover