GPA 20 30 0 SO008 Age Simple linear regression results: Dependent Variable: GPA
ID: 2907145 • Letter: G
Question
GPA 20 30 0 SO008 Age Simple linear regression results: Dependent Variable: GPA Independent Variable: Age GPA- 2.11808240.018812282 Age Sample size: 3877 R (correlation coefficient) 0.18679857 R-sq 0.034893707 Estimate of error standard deviation: 1.0194 Parameter estimates Std. Err. Alternative DF T-Stat P-value 3875 45.664789 0.0001 3875 11 8364640.0001 Intercept 21180824 0046383273 #0 0.018812282 0.00158935030 Analysis of variance table for regression model: Source DF Model1 Error 3875 4026.8081 1.0391763 Total3876 4172.3986 MS F-stat P-value 145.59045 145.59045 140.10179 0.0001 Predicted values X value Pred. Y | s.e.(Pred, y) 95% ?.L for mean 95% PL for new 23 .5507649 0.017744288 (2.5159758, 2.5855539) (055185079, 4 5496789)Explanation / Answer
Interpretation of the given results:
The regression equation is GPA = 2.1180824 + 0.018812282 Age
From the analysis of variance table, p = 0.0000 <0.0001
Hence the model is good fit
And also from the another table Age p value = 0.0000<0.0001
Hence Age found to be significantly related with GPA and also significant independent predictor
Here R2 = 0.03489 = 3.5% of the variation in the GPA was explianed by AGE only
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