The table above lists the value of ice cream sales, the population (which varies
ID: 1102840 • Letter: T
Question
The table above 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.
Important: Please enter numbers, rounded to two decimals (e.g. 10.98, 350.01), without any symbols (do not enter $) for all of the numerical questions in this assignment.
1. Estimate the following linear regression: IC = a + b*P +c*T
Report the estimates of a, b, and c.
A)
B)
C)
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)
3. Comparing the linear and quadratic models previously estimated, which explains more of the variation in ice cream sales?
Week Ice Cream Sales (IC) Population (P) Temperature (T) 1 37,268 104,734 79.7 2 37,092 98,642 73.6 3 37,157 106,520 81.5 4 37,246 104,507 79.5 5 37,346 101,716 76.7 6 37,351 102,917 77.9 7 37,298 102,927 77.9 8 37,215 99,342 74.3 9 37,104 107,371 82.4 10 36,141 92,070 67.1 11 36,539 93,610 68.6 12 36,927 108,990 84.0 13 36,974 97,145 72.1 14 36,484 94,152 69.2 15 35,993 90,700 65.7 16 37,027 108,645 83.6 17 36,998 107,752 82.8 18 35,912 90,315 65.3 19 35,988 90,934 65.9 20 36,690 94,837 69.8Explanation / Answer
1.
2.
R square(Qdadratic) = 0.993343
Since the R square is greater i the Quadratic
A -80056.4 B 4.489583 C -4428.1Related Questions
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