[Step-by-Step] The brake horsepower developed by an automobile engine on a dynamometer is thought to be a function of the engine speed in revolutions per


Question:

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 are drawn in Table 4E.10:

  1. Fit a multiple regression model to these data.

Find the regression coefficients using the method discussed in class (you cannot use statistical software to find the coefficients).

Which of the three predictor variables is most influential for changing the brake horse-power? By how much would you change the most influential predictor variable to increase the brake horsepower by 10 units?

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