1. The amounts of ice cream sold daily at JP Licks at Harvard Square and the temperatures at noon were recorded for 8 days this past summer. The basic descriptive measures are given in the table below:

Ice cream sold in pounds

Mean: 188 Standard deviation: 50.3

Temperature in Fahrenheit

Mean: 80.2 Standard deviation: 5.2

NB: Correlation: r = 0.77

a) Find the equation of the least-squares line that predicts the amount of ice cream sold (in pounds) based on the daily temperature at noon (in Fahrenheit)

b) Use this least-squares line to predict the amount of ice cream that would be sold if the temperature was 100 degrees Fahrenheit at noon

c) Vanessa, the R&D director of JP Licks, wants to give some talks in Europe about this regression model. Find the equation of the least squares line that predicts the amount of ice cream sold in kilograms based on the temperature in Celsius

Note: Note: one kilogram = 2.2 pounds and Celsius = 5/9(Fahr-32).