1. Solution 8 12/4/2018 F P1 P2 RESI1 SRES1 TRES1 HI1 FITS1
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2. (b) The matrix plot shows F and P1, F and P2 have strong linearity relationship. Moreover, there is a collinearity between P1 and P2.
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3. (c) The matrix plot of the standardized residuals shows that the standardized residuals are linearly uncorrelated with P1 and P2. This is because the linearity effects of P1 and P2 have been removed. The collinearity relationship between P1 and P2 is still there since nothing has been changed between them.
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4. (d) The residual plots are as above
(d) The residual plots are as above. Except one outlier, the normality assumption seems ok, linearity assumption seems ok, homogeneity may be slightly violated, independence assumption may be ok.
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5. (e) Except one outlier, the SRES1 and TRES1 are almost on the diagonal line, i.e. they are almost equal.
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6. (f) F is strongly linearly related with FITS1
(f) F is strongly linearly related with FITS1. The correlation between F and FITS1 is the multiple correlation coefficient, i.e., the squared root of R-square.
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7. (g) The index plot of the leverages shows that there are two high leverage points, whose leverages are more than 2(p+1)/n=6/22=.27.
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