1)For data set "ColGrads" (Data set E on Page 592), write concise report answering the questions below.

Questions

a.State your a priori hypotheses about the sign (+ or -) of each predictor and your reasoning about cause and effect.Would the intercept have meaning in the problem?

b.Does your sample size fulfill Evans' rule?

c.Generate a correlation matrix for your predictors.Round the results to 3 decimal places.Based on the correlation matrix, is collinearity a problem?

d.Perform the regression and detail your steps of eliminating variables.

e.Provide the output of the final regression.

f.State your regression equation.Do the coefficient signs agree with your a priori expectations?

g.Interpret each coefficient in the regression.

h.Provide the R² and interpret it.

i.Use the standard error to construct an approximate prediction interval for Y.based on the width of this prediction interval, would you say the predictions are good enough to have practical value?

j.Perform a full residual analysis by following steps in #37-40 on page 590.

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