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Consider the following set of dependent and independent variables. Complete parts a through e below. 47 41 40 41 30 25 23 19 11 0

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Consider the following set of dependent and independent variables. Complete parts a through e below. 47 41 40 41 30 25 23 19 11 0 73 64 78 51 44 47 34 16 15 X 2 21 29 21 17 13 16 7 16 11 a. Use technology to identify the SST, SSR, and SSE SST = 1181.56 (Round to two decimal places as needed.) SSR = 1011.33 (Round to two decimal places as needed.) SSE = 170.22 (Round to two decimal places as needed.) b. Calculate the multiple coefficient of determination. R2 = 0.856 (Round to three decimal places as needed.) c. Test the significance of the overall regression model using a = 0.10. What are the null and alternative hypotheses for this test? O A. Ho: B, # P2 (Relationship exists between the variables) H1: P1 = P2 (No relationship between the variables) B. Ho: P1 = P2 =0 (No relationship between the variables) H,: At least one , # 0 (Relationship exists between the variables) O C. Ho: P1 = P2 (No relationship between the variables) H1: B1 # B2 (Relationship exists between the variables) D. Ho: At least one , #0 (Relationship exists between the variables) H1: P1 = P2 =0 (No relationship between the variables) Identify the value of the F-test statistic. F= 17.82 (Round to two decimal places as needed.) Identify the critical F-score for a = 0.10. Fa = 3.46 (Round to two decimal places as needed.) State the conclusion. Because the F-test statistic is greater than the critical F-score, reject Ho and conclude that at least one population coefficient of the independent variables is not equal to zero. d. Interpret the p-value for the overall regression model. The p-value is. (Round to three decimal places as needed.)

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