18. [-/1.54 Points] DETAILS ASWSBE14 15. TB.5.018. You may need to use the appropriate technology to answer this questio

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18 1 54 Points Details Aswsbe14 15 Tb 5 018 You May Need To Use The Appropriate Technology To Answer This Questio 1 (43.71 KiB) Viewed 23 times

18. [-/1.54 Points] DETAILS ASWSBE14 15. TB.5.018. You may need to use the appropriate technology to answer this question. A regression model involving 3 independent variables for a sample of 20 observations resulted in the following sum of squares. Sum of Squares Regression 87 Residual (Error) 104 (a) Compute the multiple coefficient of determination. (Round your answer to four decimal places.) Fully explain its meaning. (Give your answer as a percent. Round your answer to two decimal places.) % of the variation in the dependent variable is explained by variations in the independent variables. (b) At a = 0.05, test to determine whether or not there is a significant relationship between the independent variables and the dependent variable. State the null and alternative hypotheses. OHO: Bo=0 Hai Bo = 0 OHO: Bo = 0 He: Bo 0 O Ho: one or more of the parameters is not equal to zero. H: B, = B2 = B3 = 0 O Ho: 81 = B2 = B3 = 0 He: All the parameters are not equal to zero. OHO: B1 = B2 - B3 = 0 Ha: one or more of the parameters is not equal to zero. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Do not reject Ho. There is sufficient evidence to conclude there is a significant relationship between the independent variables and the dependent variable. O Do not reject Ho. There is insufficient evidence to conclude there is a significant relationship between the independent variables and the dependent variable. Reject Ho. There is insufficient evidence to conclude there is a significant relationship between the independent variables and the dependent variable. Reject Ho. There is sufficient evidence to conclude there is a significant relationship between the independent variables and the dependent variable.