A farmer wants to conduct a regression analysis to study the relationship betwee

Question

A farmer wants to conduct a regression analysis to study the relationship between the bushels of corn per acre, Y, and the amount (in pounds) of fertilizer used per acre. X Consider the com produced as the dependent variable and the amount of fertilizer as the independent variable. suppose that the sample mean and standard deviation or Y are 57 and 5 and that the sample mean and standard deviation of X are 18 and 2 Furthermore, their covariance is 12. Find the predicted amount of corn produced per acre when 20 pounds of fertilizer is used per acre. (Use the OLS estimators.) a. 57 b 60 c. 66 d 63 e.69

Explanation / Answer

here slope b1 =Sxy/Sxx =12/2=6

and intercept bo=Ybar-b1*Xbar=57-6*18 =-51

hence at x=20 ; y=-51+20*6=69

option E is correct

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