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Client: Dogfish Head Brewery Dogfish Head A study was done to determine the relationship between the alcohol content of beer, and the number of calories in a 12oz Craft Brewed Ales serving size. The sample data is provided in the table below. [6] Brand / Beer Alcohol Content (%) Calories (per 12oz) Big Sky Scape Goat Pale Ale 4.70 163 Sierra Nevada Harvest Ale 6.70 225 Steel Reserve 8.10 232 Coors Light 4.15 106 Genesee Cream Ale 5.10 162 Sierra Nevada Summerfest Beer 5.00 158 Michelob Beer 5.00 145 Flying Dog 4.70 158 Big Sky I.P.A. 6.20 195 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). are Isbom apis uni onmayio s hi andobli do Ihouse miles of labormy b) Using the sample data, find a regression equation to estimate the number of calories in a beer. c) Dogfish Head Brewery has an I.P.A. beer called "120 Minute IPA" which has an alcohol content of 18%. Using your regression equation (show work/steps below), estimate the number of calories in a 12oz serving of "120 Minute"