Refer to the Lincoln School District bus data.First, ass a variable to change the type of engine (diesel or gas) to a qualitative variable.If the engine type is diesel, then set the qualitative variable to 0.If the engine type is gasoline, then set the qualitative variable to 1.Develop a regression equation using statistical software with maintenance cost as a dependent variable and age, odometer miles, miles since last maintenance, and engine type as the independent variables. a Develop a correlation matrix.Which independent variables have strong or weak correlations with the dependent variables?Do you see any problems with multicollinearity? b Use a statistical software package to determine the multiple regression equation.How did you select the variables to include in the equation?How did you use the info from the correlation analysis?Show that your regression equation shows a significant relationship.Write out the regression equation and interpret its partial application.Report and interpret the R-square. c. develop a histogram or a stem-and-leaf display of the residuals from the final regression equation developed in part (f).Is it reasonable to conclude that the normality assumption has been met? d Plot the residuals against the fitted valued from the final regression equation developed in part (f) against the fittedvalues of Y. Plot the residuals on the vertical axis and the fitted values on the horizontal axis.