You may need to use the appropriate technology to answer this question. The personnel director for Electronics Associate

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You May Need To Use The Appropriate Technology To Answer This Question The Personnel Director For Electronics Associate 1 (63.68 KiB) Viewed 12 times

You may need to use the appropriate technology to answer this question. 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. ŷ 14.48.69x₁ + 13.52x₂ where X₁ = length of service (years) X2= wage rate (dollars) y = 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 Constant x1 x2 S = 3.773 Coef 14.4 13.52 R-sq - Analysis of Variance Source Regression Residual Error Total SE Coef 8.191 1.555 2.085 DF 2 T $ R-sq (adj) - 10. 71.18 T 1.76 720.00 00. MS F
(b) Compute F and test using a = 0.05 to see whether a significant relationship is present. State the null and alternative hypotheses. O Ho: One or more of the parameters is not equal to zero. H₂: B₁ = P₂ = 0 o Hoi Do=0 Ha: Bo # 0 O Ho: Po 0 Ha: Po = 0 O Ho: P₁ = P₂ = 0 H₂: 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.) F = Find the p-value. (Round your answer to three decimal places.) p-value = Is the relationship between X₁, X₂, and y significant? O Reject Ho. We conclude that the relationship is significant. O Reject Ho. We cannot conclude that the relationship is significant. O Do not reject Ho. We conclude that the relationship is significant. O Do not reject Ho. We cannot conclude that the relationship is significant. (c) Did the estimated regression equation provide a good fit to the data? Explain. (Round your answers to two decimal places.) Since R² = is ---Select--- ✓and R₂² = is --Select-- the estimated regression equation --Select--- ✓a good fit.
(d) Use the t test and a = 0.05 to test Ho: ₁ = 0 and Ho: B₂ = 0. Find the value of the test statistic for $₁. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Reject Ho. We conclude that ₁ is significant. O Reject Ho. We cannot conclude that ₁ is significant. O Do not reject Ho. We conclude that is significant. O Do not reject Ho. We cannot conclude that ₁ is significant. Find the value of the test statistic for ₂. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Reject We conclude that ₂ is significant. O Reject Ho. We cannot conclude that ₂ is significant. O Do not reject Ho. We conclude that ₂ is significant. O Do not reject Ho. We cannot conclude that ₂ is significant.