Fit a regression model to the data of Exercise 3.8 using orthogonal contrasts. Perform ANOVA to test

Question:

Fit a regression model to the data of Exercise 3.8 using orthogonal contrasts.
Perform ANOVA to test for significance of the model. Obtain the fitted values
and residuals for this design. Obtain a plot of residuals against fitted values
and comment on its pattern. Obtain a normal probability plot of the residuals
for this model.

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