Continuing with the Coop Ale Works Data where data is collected over 10 sales pe

Question

Continuing with the Coop Ale Works Data where data is collected over 10 sales periods, an analysis of variance table is calculated for the linear regression using advertising expenditure in thousands of dollars to predict sales in thousands of dollars. Here is the partial ANOVA table. Use this information for 12 through 17. What is the Explained Variation in the regression model? (a) 14530 |(b) 6167 |(c) 9683.5 |(d) 8363 What is the Total Variation in the regression model? (a) 14530 |(b) 6167 |(c) 9683.5 |(d) 8363 For the hypothesis test H_0: beta_1 = 0 and H_a: beta_1 notequalto 0, what is the value of the F test statistic F_model? (a) 10.85 |(b) 1.36 |(c) 8 |(d) 6167 For the hypothesis test H_0: beta_1 = 0 and H_a: beta_1 notequalto 0, what is your conclusion at alpha = 0.01? Write out a full inclusion for the context of the problem. The value of R^2 in this linear regression is 0.5755. Interpret this value of R^2. What is the estimate of sigma_e^2, the variance of the error term in the linear regression model? (a) 770.875 |(b) 6167 |(c) 27.76 |(d) 8363

Explanation / Answer

df SS MSS F p-value regression 1 8363 8363 10.84871 0.011 residuals 8 6167 770.875 total 9 14530 1) EXPLAINED variation = SSE 6167 b) is correct 2) total variation = SST 14530 a) is correct 3) F= 10.84871 a) ic correct 4) Since p-value > 0.01, I fail to reject ho and conclude that beta1 = 0

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