Consider the following set of dependent and independent variables. Complete parts a through e below. у 46 43 40 40 31 26

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Consider the following set of dependent and independent variables. Complete parts a through e below. у 46 43 40 40 31 26 23 17 10 O X1 75 64 78 53 45 48 34 16 16 X2 21 30 20 17 13 18 9 16 11 a. Use technology to identify the SST, SSR, and SSE. SST = SSR = (Round to two decimal places as needed.) (Round to two decimal places as needed.) (Round to two decimal places as needed.) SSE = b. Calculate the multiple coefficient of determination. R? (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? A. Ho: B1 = B2 (No relationship between the variables) Hj: B1 + B2 (Relationship exists between the variables) B. Ho: At least one B;#0 (Relationship exists between the variables) H: B, = B2 = 0 (No relationship between the variables) OC. Ho: B1 + B2 (Relationship exists between the variables) Hj: B1 = B2 (No relationship between the variables) D. Ho: B1 = B2 = 0 (No relationship between the variables) H: At least one B;#0 (Relationship exists between the variables)

Consider the following set of dependent and independent variables. Complete parts a through e below. у 46 43 40 40 31 26 23 17 10 D X1 75 64 78 53 45 48 34 16 16 X2 21 30 20 17 13 18 9 16 11 Identify the value of the F-test statistic. F(Round to two decimal places as needed.) ( Identify the critical F-score for a = 0.10. Fx = (Round to two decimal places as needed.) State the conclusion Because the F-test statistic is the critical F-score, - Ho and conclude that population coefficient of the independent variables zero. d. Interpret the p-value for the overall regression model. The p-value is 7 (Round to three decimal places as needed.) What does this p-value mean for the overall regression model? O A. Since the p-value is less than a, reject the null hypothesis. The overall regression model is significant at the a = 0.10 significance level. O B. Since the p-value is greater than a, do not reject the null hypothesis. The overall regression model is significant at the a=0.10 significance level. OC. Since the p-value is less than a, reject the null hypothesis. The overall regression model is not significant at the a=0.10 significance level. D. Since the p-value is greater than a, do not reject the null hypothesis. The overall regression model is not significant at the a=0.10 significance level. au

Consider the following set of dependent and independent variables. Complete parts a through e below. у y 46 43 40 40 31 26 23 17 10 O X 75 64 78 53 45 48 34 16 16 X2 21 30 20 17 13 18 9 16 11 R. IUCILITY UIG LEILILOII DUUIC IVI - U.IU. F = (Round to two decimal places as needed.) State the conclusion, Because the F-test statistic is the critical F-score, F- Ho and conclude that population coefficient of the independent variables zero. d. Interpret the p-value for the overall regression model. The p-value is - (Round to three decimal places as needed.) What does this p-value mean for the overall regression model? A. Since the p-value is less than a reject the null hypothesis. The overall regression model is significant at the a=0.10 significance level. a OB. Since the p-value is greater than a, do not reject the null hypothesis. The overall regression model is significant at the a = 0.10 significance level. C. Since the p-value is less than a, reject the null hypothesis. The overall regression model is not significant at the a = 0.10 significance level. OD. Since the p-value is greater than a, do not reject the null hypothesis. The overall regression model is not significant at the a= 0.10 significance level e. Calculate the adjusted multiple coefficient of determination. RA= (Round to three decimal places as needed.)