No work needs to be shown, but the following information should be provided:

a$.$ What is the multiple regression equation?

b$.$ Using this equation, what is the predicted value of $Y$ when $x_1=x_2=x_3=10$ and

$=0?$

c$.$ What is the value of $R^2,$SSE, and $s_e?$

d$.$ What variables are not important $($use a $0\mathrm{.}05$ level of significance$)?$

e$.$ What is the dummy variable telling us$?$

f$.$ Is this a good or bad model at the $0\mathrm{.}05$ level? Explain$\mathrm{.}3$ A multiple regression was run with $Y$ as the dependent variable and $x_1,x_2,$ and $x_3$ as explanatory variables. In addition, a dummy variable was added that equals $1$ for men and $0$ for women. The output is provided below:

$\backslash$table$[[$SUMMARY OUTPUI,,,,,,$],[$Regression S$,$atistics,,,,,$],[$Multiple R$,0\mathrm{.}8530,,,,,],[$R Square,$0\mathrm{.}72,,,,,],[$Adjusted R Square,$0\mathrm{.}7218,,4,,,],[$Standard Error,$1\mathrm{.}0001,,,,,],[$Observations$,192,,,,,],[,2,,,3,,],[$ANOVA$,,,,,,],[,$df$,55,$MS$,F,$Significance $F,],[$Regression$,4,1410\mathrm{.}326,352\mathrm{.}581,124\mathrm{.}907,1\mathrm{.}05389E-51,],[$Residual$,187,527\mathrm{.}854,2\mathrm{.}823,=,,],[$Total$,191,1938\mathrm{.}180,,,,],[,$Coefficients,Standard Error,t Stat,P$-$value,Lower $958,$Upper $95\%$