Using theecodata set (in faraway packages), fit a model withhomeas the response and all of the other variables as predictors. Answer the following parts.

In parts (b) through (g), you should draw a specific conclusion and clearly refer to the diagnostic tool(s) (plots or statistics) you used to draw your conclusion.

(a) Produce the four default diagnostic plots given by R. 1

(b)Using an appropriate diagnostic plot, check the functional form of the relationship between the mean response and the predictors.

(c)Check the assumption of constant variance.

(d)What is the largest (most positive) least-squares residual value? What is the smallest (most negative) least-squares residual value?

(e)Which observation has the greatest leverage value?

(f)Check for outliers. (You may use diagnostic plots a formal test is not necessary.)

(g) Check for influential points.