Question Statistics

Suppose a statistician built a multiple regression model for predicting the total number of runs scored by a baseball team during a season. Using data for n = 200 samples, the results below were obtained. Complete parts a through d. Ind. Var. B estimate Standard Error Ind. Var. B estimate Standard Error Intercept 3.64 12.25 Doubles (x3) 0.66 0.03 Walks (x1) 0.38 0.05 Triples (X4 ) 1.09 0.17 Singles (X2 0.41 0.05 Home Runs (X5 1.53 0.02 a. Write the least squares prediction equation for y = total number of runs scored by a team in a season. y = +(0) *1 + (0)*2 + (D)*3+ ()*4+ ()*s (Type integers or decimals.) b. Interpret, practically, Po and By in the model. Which statement below best interprets Po? O A. For a change of Po in any variable, the runs scored decreases by 1. O B. For an increase of 1 in any variable, the runs scored changes by Po O C. For a decrease of 1 in any variable, the runs scored changes by Po. O D. For a change of Po in any variable, the runs scored increases by 1. O E. This parameter does not have a practical interpretation.Which statement below best interprets P, ? A. For an increase of 1 in the number of walks, the runs scored changes by Py . O B. For a change of , in the number of walks, the runs scored increases by 1. C. For a change of , in the number of walks, the runs scored decreases by 1. O D. For a decrease of 1 in the number of walks, the runs scored changes by By - O E. This parameter does not have a practical interpretation. c. Conduct a test of Ho: P3 = 0 against Ha: B3 >0 at a = 0.05. The test statistic is "Round to three decimal places as needed.)The p-value is (Round to three decimal places as needed.) the null hypothesis. There sufficient evidence to support the alternative hypothesis. d. Form a 99% confidence interval for B . Interpret the results. (Round to three decimal places as needed.) Interpret this interval. We are % confident that the true value of As lies in this interval. (Type a whole number.) Click to select your answer(s)