The following table lists the value of ice cream sales, the population (which varies because of tourism) and the temperature in the tourist town of Sorriento each week during the summer of 2015. Ice Cream Sales (IC) 37,268 37,092 37,157 37,246 37,346 37,351 37,298 37,215 37,104 36,141 36,539 36,927 36,974 36,484 35,993 37,027 36,998 35,912 35,988 36,690 Week 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Question 1 Estimate the following linear regression: IC = a + b*P +c*T Report the estimates of a, b, and c. a: b: c: Population (P) Temperature (T) 104,734 98,642 106,520 104,507 101,716 102,917 102,927 99,342 107,371 92,070 93,610 108,990 97,145 94,152 90,700 108,645 107,752 90,315 90,934 94,837 79.7 73.6 81.5 79.5 76.7 77.9 77.9 74.3 82.4 67.1 68.6 84.0 72.1 69.2 65.7 83.6 82.8 65.3 65.9 69.8 Question 2 Estimate the quadratic model: IC = a +b*P+c*T+d*T^2 Report the estimates of a, b, c, and d. a: b: c: d: Question 3 Comparing the linear and quadratic models previously estimated, which explains more of the variation in ice cream sales