10.7. The brake horsepower developed by an automobile engine on a dynamometer is thought to be a function of the engine speed in revolutions per minute (rpm), the road octane number of the fuel, and the engine compression. An experiment is run in the laboratory and the data that follow are collected:

(a) Fit a multiple regression model to these data.

(b) Test for significance of regression. What conclusions can you draw?

(c) Based on t-tests, do you need all three regressor variables in the model?

Transcribed Image Text:

Road Brake Horsepower rpm Octane Number Compression 225 2000 90 100 212 1800 94 95 229 2400 88 110 222 1900 91 96 219 1600 86 100 278 2500 96 110