Question

We give JMP output of regression analysis. Above output we give the regression model and the number of observations, n, used to perform the regression analysis under consideration. Using the model, sample size n, and output:

Model: y = β₀ + β₁x₁ + β₂x₂ + β₃x₃ + ε       Sample size: n = 30

Summary of Fit
RSquare	0.987331
RSquare Adj	0.985869
Root Mean Square Error	0.240749
Mean of Response	8.382667
Observations (or Sum Wgts)	30

Analysis of Variance
Source	df	Sum of Squares	Mean Square	F Ratio
Model	3	117.438830	39.14630	675.4012
Error	26	1.506960	0.05800	Prob > F
C. Total	29	118.945790		<.0001*
(1) Report the total variation, unexplained variation, and explained variation as shown on the output. (Round your answers to 4 decimal places.) (2) Report R2 and R¯¯¯2R¯2 as shown on the output. (Round your answers to 4 decimal places.) (3) Report SSE, s2, and s as shown on the output. (Round your answers to 4 decimal places.) (4) Calculate the F(model) statistic by using the explained variation, the unexplained variation, and other relevant quantities. (Round your answer to 2 decimal places.) (5)  Use the F(model) statistic and the appropriate critical value to test the significance of the linear regression model under consideration by setting α equal to .05. (6) Find the p−value related to F(model) on the output. Using the p−value, test the significance of the linear regression model by setting α = .10, .05, .01, and .001. What do you conclude?

Answer 1