This exercise requires the use of a computer package. Use the data given in Exercise...

This exercise requires the use of a computer package. Use the data given in Exercise 14.29 to verify that the true regression function

Reference:

The article “The Undrained Strength of Some Thawed Permafrost Soils” (Canadian Geotechnical Journal [1979]: 420–427) contained the accompanying data (see page 830) on y = shear strength of sandy soil (kPa), x₁ = depth (m), and x₂ = water content (%). The predicted values and residuals were computed using the estimated regression equation

a. Use the given information to compute SSResid, SSTo, and SSRegr.

b. Calculate R² for this regression model. How would you interpret this value?

c. Use the value of R² from Part (b) and a .05 level of significance to conduct the appropriate model utility test