(14.5 pts.) 2. Beer100.com advertises itself as \"your Place for All Things Beer

Question

(14.5 pts.) 2. Beer100.com advertises itself as "your Place for All Things Beer." One of their "things" is a list of domestic beer brands with the percent alcohol and calories. A college student wants to know if you can predict the calorie content (y) from the percent alcohol (x). A random sample of domestic beers was obtained, and the calories and the average percent alcohol was measured for each beer. The summary data is shown below. n = 85, Sxx = 28.88, SYY 60542.05. SXY= 1009.695, 4.81, y = 141.89 The scatter plot of the data is shown below: Calories vs. % Alcohol 210 180 150 120 90 Percent Alcohol

Explanation / Answer

g) for above coefficient of correlation r =Sxy/(Sxx*Syy)1/2 =1009.695/(28.88*60542.05)1/2 =0.7636

tehrefore coefficient of determination R2 =(0.7636)2 =0.5831

hence 0.583 proportion of calories is explained by percent alcohol.

h) coefficient of determination is sufficiently high ; we have reason to believe that there is association between calories and percent alcohol

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