age 4 of 7 Vista Virtual School - A5-8 4. Simran chose to take her high school classes online for a semester during the COVID-19 pandemic. While at home, she decided to track the number of active cases in Alberta bimonthly, between September Ist and December Ist. Below is the data she collected. (https://covid19data.alberta.ca/) Date Time (bimonthly after Sept. 1) |Number of Active Cases Sept. 1, 2020 1390 Sept. 15, 2020 1478 Oct. 1, 2020 N 1664 Oct. 15, 2020 2776 Nov. 1, 2020 5971 Nov. 15, 2020 10 000 Dec. 1, 2020 17 037 a) Find the equation of the exponential regression function, in the form C = ab', that models the number of confirmed cases, C, as a function of time, t. Express the values of a and b to the nearest hundredth. (1 mark) b) Find the equation of the logarithmic regression function, in the form t = a + bInC, that models time, t, as a function of the number of confirmed cases, C. Express the values of a and b to the nearest hundredth. (1 mark) c) Describe how the r value relates to regression equations and data. (1 mark) d) Determine when Alberta would have reached 37 000 active cases if no measures were taken to decrease the spread of COVID-19 using each of the above regression equations. (2 marks)age 5 of 7 VVS: 30-2 A5-8 (May.2022) e) Explain why the answers found in part d are not the same. (1 mark) 5. State the best regression equation (linear, quadratic, exponential, or sinusoidal regression) for each set of data. Where possible, state the coefficient of determination r, for each equation. (6 marks) Table 1: - 3 - 2 - 1 0 1 2 0 3 -4.5 -4.5 0 4.5 4.5 0 Linear equation coefficient of determination: Quadratic equation coefficient of determination: Exponential equation coefficient of determination: Sinusoidal equation (yeso) Best type of regression equation: Table 2: X - 3 - 2 -1 0 2 3 -6 -2 2 4 6 Linear equation coefficient of determination: Quadratic equation coefficient of determination: Exponential equation coefficient of determination: Sinusoidal equation (yeso): Best type of equation: Table 3: x - 3 - 2 -1 0 2 3 9 4 0 4 9 Linear equation coefficient of determination: Quadratic equation coefficient of determination: Exponential equation coefficient of determination: Sinusoidal equation (yeso): Best type of equation:Vista Virtual Sch Table 4: 0.125 |0.25 -IN Linear equation coefficient of determination: Quadratic equation coefficient of determination: Exponential equation coefficient of determination: Sinusoidal equation (yeso): Best type of equation: 6. The table below provides the monthly high temperature in Calgary, Alberta for 2021 therstats.ca)