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study on Residuals (40 points). Here are the results of an experiment. Please discuss: (1) what are the conclusions of this experiment t? (2) how adequate is the model proposed here to describe the experimental data? (3) any specific problems-if any- that you notice in the residuals? (4) your recommendations about what should be done next in this study General Linear Model: Response 2 versus Factor A, Factor B Factor Type Levels Values Factor A fixed Factor B fixed 4 1, 2, 3, 4 5 1, 2, 3, 4, 5 Analysis of Variance for Response 2, using Adjusted ss for Tests Source D Seq SS Adj ss Adj MS Factor A 3 17250.1 17250.1 5750.0 412.960.000 Factor B 4 24201.7 24201.7 6050.4434.54 0.000 Error Total 92 1281.0 1281.013.9 99 42732.8 s 3.73147 R-Sq-97.008R-sq (adj) 96.77 Unusual observations for Response 2 Obs Response 2 Fit SE Fit Residual St Resid 2.72 R 2.43 R 34.7600 41.9770 1.0554 7.2170 2.02 R 7.9100 -1.8250 1.0554 9.7350 85.8300 77.1178 1.0554 8.7122 20 65 76 85 96 -2.01 R 33.5900 41.9770 1.0554 -8.38702.34 R 24.9500 33.3158 1.0554 -8.3658 2.34R 26.1100 33.3158 1.05547.2058 R denotes an observation with a large standardized residual.
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Answer #1

We have a model with two predictors (Factor A and Factor B) for our response variable. Using a General Linear Model, we have strong R square =97% and Strong Adjusted R square= 96.77%.

Predictors explain 96% of variation in response variable.

Now checking the statistical significance of two factors, we have highly significant p-value for both factors (<0.01). The model is statistically valid for prediction.

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