The brake horsepower developed by an automobile engine on a

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: Fit a multiple regression model to these data. Test for significance of regression. What conclusions can you draw? Based on t-tests, do you need all three regressor variables in the model?

Solution

The regression equation is

y=a+bx

where x is independent variable

and y is dependent variable

b) To test the significance for regression. we use the F test.

If F cal> F critical value then the model is significant

c) Now weuse t test for checking slope is zero or nor