Q2

Using the appropriate model, sample size n, and output below: Model: y = 60 + 61*1 + 62*2 + 63*3 + = Sample size: n= 16 Regression Statistics Multiple R 0.9974 R Square 0.9948 Adjusted R Square 0.9936 Standard Error 446. 4432 Observations 16 ANOVA DF MS F Significance F Regression 3 461, 708,956. 1039 153, 902, 985 . 3680 772.1732 0. 0900 Residual 12 2, 391, 737 . 8257 199, 311.4855 Total 15 464, 100, 693.9295 Report the total variation, unexplained variation, and explained variation as shown on the output. (Round your answers to 4 decimal places.) Total variation Unexplained variation Explained variation Report R2 and R" as shown on the output. (Round your answers to 4 decimal places.) R12 R-bar 2 | Report SSE, s2, and s as shown on the output. Calculate s2 from SSE and other numbers. (Round your answers to 4 decimal places.) SSE S | Calculate the Amodel) statistic by using the explained variation, the unexplained variation, and other relevant quantities. (Round your answer to 3 decimal places.) F(model) Use the Amodel) statistic and the appropriate rejection point to test the significance of the linear regression model under consideration by setting a equal to .05. HO: B1 = 82 = 13 = 0 by setting a = .05. Find the p-value related to Amodel) on the output. Using the p-value, test the significance of the linear regression model by setting a = 10, .05, .01, and .001. p-value = .000. HO at a = .05, 01, and . 001