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
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 sizen, and output:
Model:y = 0+ 1x1+ 2x2+ 3x3+ Sample size: n= 30
Summary of Fit | |
RSquare | 0.989967 |
RSquare Adj | 0.988809 |
Root Mean Square Error | 0.240783 |
Mean of Response | 8.382667 |
Observations (or Sum Wgts) | 30 |
Analysis of Variance | ||||
Source | df | Sum of Squares | Mean Square | F Ratio |
Model | 3 | 148.731990 | 49.57730 | 855.1257 |
Error | 26 | 1.507390 | 0.05800 | Prob > F |
C. Total | 29 | 150.239390 | <.0001* | |
(1)Report the total variation, unexplained variation, and explained variation as shown on the output.(Round your answers to 4 decimal places.)
(2)ReportR2andR2R2as shown on the output.(Round your answers to 4 decimal places.)
(3)ReportSSE,s2(same as MSE), andsas shown on the output.(Round your answers to 4 decimal places.)
(4)Calculate theF(model) statistic by using the explained variation, the unexplained variation, and other relevant quantities.(Round your answer to 2 decimal places.)
(5)Use theF(model) statistic and the appropriate critical value to test the significance of the linear regression model under consideration by setting equal to .05.
(6)Find thepvalue related toF(model) on the output. Using thepvalue, test the significance of the linear regression model by setting = .10, .05, .01, and .001. What do you conclude?
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