We give JMP output of regression analysis. Above output we give the regression model and the...

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


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

Summary of Fit
RSquare0.987331
RSquare Adj0.985869
Root Mean Square Error0.240749
Mean of Response8.382667
Observations (or Sum Wgts)30
Analysis of Variance
SourcedfSum of
Squares
Mean
Square
F Ratio
Model3117.43883039.14630675.4012
Error261.5069600.05800Prob > F
C. Total29118.945790<.0001*

(1) Report the total variation, unexplainedvariation, and explained variation as shown on the output.(Round your answers to 4 decimal places.)

(2) Report R2 andR¯¯¯2R¯2 as shown on the output. (Round youranswers 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) statisticby using the explained variation, the unexplained variation, andother relevant quantities. (Round your answer to 2 decimalplaces.)

(5)  Use the F(model)statistic and the appropriate critical value to test thesignificance of the linear regression model under consideration bysetting α equal to .05.

(6) Find the p−value related toF(model) on the output. Using the p−value, testthe significance of the linear regression model by setting α = .10,.05, .01, and .001. What do you conclude?

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