Question

Question 7 1 pts The ANOVA table below was found to predict the amount of sales per week based on the number of sale promotions, the amount spent on commercials, and the amount spent on magazine advertisements. Analysis of Variance Sum of Source DF Squares Mean Square F Ratio Model 3 6134341.3 2044780 245.7702 Error 98 815349.0 8320 Prob > F C. Total 101 6949690.3 <.0001 What is the correct conclusion for the F test? We have evidence that at least one of the population slope coefficients is different from zero We have evidence that at least one of the sample slope coefficients is different from zero We do not have evidence that at least one of the population slope coefficients is different from zero We do not have evidence that at least one of the sample slope coefficients is different from zero Question 8 1 pts You want to try to predict building price based on square footage and the number of floors. Using data from 25 buildings, you run the appropriate test and find an F test statistic of 5.68. What is the corresponding p-value for this test? 0.009 0.01 0.09 0.001

Answer 1

(7) Answer: We have evidence that at least one of the population slope coefficients is different from zero.

>> Since the p-value is very small (close to 0), we reject the null hypothesis and conclude that at least one of the population slope coefficients is different from zero.

(8) Answer: 0.01

>> Number of independent variables, k = 2

Sample size, n = 25

Regression degrees of freedom = k = 2

Error degrees of freedom = n - k - 1 = 25 - 2 - 1 = 22

F test statistic = 5.68

p-value = P[F(2,22) > 5.68] = 0.0103 ≈ 0.01