11. 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 1st and December 1st. Below is the data she collected. Date Sept. 1, 2020 Time (bimonthly after Sept. 1) Number of Active Cases 0 Sept. 15, 2020 1 Oct. 1, 2020 2 Oct. 15, 2020 3 Nov. 1, 2020 4 Nov. 15, 2020 Dec. 1, 2020 5 6 1390 1478 1664 2776 5971 10 000 17 037 a. Determine 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. Round a and b to the nearest hundredth. (1 mark) b. If no measures were taken to decrease the spread of COVID-19, use the exponential regression equation to determine approximately when Alberta would theoretically have 60 000 active cases. Show or explain how you found the answer for full marks. (2 marks) c. Determine the equation of the logarithmic regression function t=a+bln C, that models time, t, as a function of confirmed cases, C. Round a and b to the nearest hundredth. (1 mark) d. Use the logarithmic regression equation to determine approximately when Alberta would theoretically have 60 000 active cases if no measures were taken to decrease the spread of COVID-19. Show or explain how you found the answer for full marks. (2 marks) e. Compare your answers for part b. and d. Should they be the same or different? Explain any anomalies you see. (2 marks)