Write the multiple regression equation for miles per gallon as the response variable. Use weight and horsepower as predictor variables. How might the car rental company use this model?

$$ OLS Regression Results$$

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Dep. Variable:$$mpg$$ R$-$squared:$0\mathrm{.}834$

Model:$$OLS$$ Adj. R$-$squared:$0\mathrm{.}821$

Method:$$Least Squares$$ F$-$statistic:$67\mathrm{.}70$

Date:$$Thu$,05$ Dec $2024$ Prob $($F$-$statistic$)$:$3\mathrm{.}02$e$-11$

Time:$23$:$38$:$52$ Log$-$Likelihood:$-66\mathrm{.}985$

No$.$ Observations:$30$ AIC:$140\mathrm{.}0$

Df Residuals:$27$ BIC:$144\mathrm{.}2$

Df Model:$2$

Covariance Type:$$ nonrobust$$

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$$coef$$ std err$$ t$$ P$>|$t$|[0\mathrm{.}0250\mathrm{.}975]$

$------------------------------------------------------------------------------$

Intercept $36\mathrm{.}35751\mathrm{.}57523\mathrm{.}0850\mathrm{.}00033\mathrm{.}12639\mathrm{.}589$

wt$-3\mathrm{.}69630\mathrm{.}591-6\mathrm{.}2530\mathrm{.}000-4\mathrm{.}909-2\mathrm{.}483$

hp$-0\mathrm{.}03070\mathrm{.}008-3\mathrm{.}6960\mathrm{.}001-0\mathrm{.}048-0\mathrm{.}014$

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Omnibus:$5\mathrm{.}481$ Durbin$-$Watson:$2\mathrm{.}407$

Prob$($Omnibus$)$:$0\mathrm{.}065$ Jarque$-$Bera $($JB$)$:$3\mathrm{.}847$

Skew:$0\mathrm{.}815$ Prob$($JB$)$:$0\mathrm{.}146$

Kurtosis:$3\mathrm{.}649$ Cond. No$.624.$

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$$

Warnings:

$[1]$ Standard Errors assume that the covariance matrix of the errors is correctly specified.