A study was done to determine the relationship between the alcohol content of beer, and the amount of calories in a 12oz serving size. The sample data is provided in the table below. [6] Brand / Beer Big Sky Scape Goat Pale Ale Sierra Nevada Harvest Ale Steel Reserve Coors Light Genesee Cream Ale Sierra Nevada Summerfest Beer Michelob Beer Flying Dog Big Sky I.P.A. Alcohol Content (%) 4.70 6.70 8.10 4.15 5.10 5.00 5.00 4.70 6.20 Calories (per 12oz) 163 215 222 104 162 158 155 158 195 a) From this sample data, can you conclude (at the a = 0.05 level) that there is in fact a linear correlation between the two variables? Use the statistics (correlation coefficient, p-value) to describe the correlation (if any). b) Using the sample data, find a regression equation to estimate the number of calories in a beer. c) Dogfish Head Brewery in Milton, Delaware has an I.P.A. beer called "120 Minute IPA" which has an alcohol content of 18%. Using your regression equation, estimate the number of calories in a 12oz serving of 120 Minute.