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The personnel director for Electronics Associates developed the following estimated regression equation relating an employee's score on a job satisfaction test to length of service
The personnel director for Electronics Associates developed the following estimated regression equation relating an employee's score on a job satisfaction test to length of service and wage rate. y = 14.4 - 8.69%| + 13.52x2 where *1 = length of service (years) *2 = wage rate (dollars) = job satisfaction test score (higher scores indicate greater job satisfaction). (a) Complete the missing entries in this portion of the Minitab computer output. (Round your answers to two decimal places.) The regression equation is y = 14.4 - 8. 69 X1 + 13.52 X2 Predictor Coef SE Coef H Constant 14.4 8. 191 1.76 x1 -8 . 69 1. 555 x2 13. 52 2. 085 SE (y) = R-8q = R-sq (adj ) = Analysis of Variance Source DE SS MS F Regression 2 Residual Error 71. 18 Total 720.00 (b) Compute F and test using a = 0.05 to see whether a significant relationship is present. State the null and alternative hypotheses. H:---Select--- H: ---Select--- Find the value of the test statistic. (Round your answer to two decimal places.) F = Find the p-value. (Round your answer to three decimal places.) p-value = Is the relationship between x1, X2, and y significant? ---Select-- |Ho. We ---Select--- |conclude that the relationship ---Select--- | significant.(c) Did the estimated regression equation provide a good fit to the data? Explain. [Round your answers to two decimal places.) Since R2 = :l is and 232 = E is , the estimated regression equation a good t. (d) Use thet test and a = 0.05 to test Ho: 1 = D and Ho: 182 = 0. Find the value of the test statistic forl. (Round your answer to two decimal places.) E Find the pivalue. (Round your answer to three decimal places.) State your conclusion. Ho- We conclude that 31 signicant. Find the value of the test statistic forz. {Round your answer to two decimal places.) E Find the p-value. (Round your answer to three decimal places.) State your conclusion. H... We conclude that 32 signicant
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