Chapter 12, Problem 108SE

a.

To determine

Construct a multiple linear regression model using $x_3$, $x_4$ and $x_5$.

b.

To determine

Test for the statistical significance of the regression at level of significance $\alpha =0.01$.

Find the P-value for the test and draw conclusions.

c.

To determine

Construct the t-test statistic for each of the regressors and draw necessary conclusions at level of significance $\alpha =0.01$.

d.

To determine

Find the value of $R^2$ and adjusted $R^2$ for this model.

e.

To determine

Draw a normal probability plot of the residuals for the model.

Interpret the graph.

f.

To determine

Plot the residuals versus $\widehat{y}$.

Explain whether there is any indication of inequality of variance or nonlinearity.

g.

To determine

Plot the residuals versus x3.

Explain whether there is any indication of nonlinearity.

h.

To determine

Find the predicted thrust for an engine in which $x_3=28,900$, $x_4=170$, $x_5=1,589$.