12-23. A study was performed on wear of a bearing and its relationship to x =...

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12-23. A study was performed on wear of a bearing and its relationship to x = oil viscosity and x2 = load. The following data were obtained. y x X2 293 1.6 851 230 15.5 816 172 22.0 1058 91 43.0 1201 113 33.0 1357 125 40.0 1115 Consider the bearing wear data in Exercise 12-23. (a) Find the value of R2 when the model uses the regressors x and x2. (b) What happens to the value of R2 when an interaction term xX2 is added to the model? Does this necessarily imply that adding the interaction term is a good idea? 12-23. A study was performed on wear of a bearing and its relationship to x = oil viscosity and x2 = load. The following data were obtained. y x X2 293 1.6 851 230 15.5 816 172 22.0 1058 91 43.0 1201 113 33.0 1357 125 40.0 1115 Consider the bearing wear data in Exercise 12-23. (a) Find the value of R2 when the model uses the regressors x and x2. (b) What happens to the value of R2 when an interaction term xX2 is added to the model? Does this necessarily imply that adding the interaction term is a good idea?