$$ Calculate Pearson Correlation Coefficients between fuel economy $($mpg$)$ and horsepower $($hp$)$; fuel economy and quarter mile time $($qsec$)$; and fuel economy and rear axle ratio $($drat$).$ Comment on the strength and direction of these correlation coefficients.

In $[3]$:

# Create the multiple regression model and print summary st

model lm$($mpg wt $+$ drat $+$ wt:drat, data$=$mtcars$\_$subset$)$

summary $($model$1)$

Call:

$lm($formula $=mpgwt+$drat$+wt$:drat, data $=$ mtcars$\_$subs

et $)$

Residuals:

Min $,10$ Median $3$Q Max

Coefficients:

Residual standard error: $2\mathrm{.}839$ on $28$ degrees of freedom

Multiple R$-$squared: $0\mathrm{.}7996,$ Adjusted R$-$squared: $0\mathrm{.}778$

$2$

F$-$statistic: $37\mathrm{.}25$ on $3$ and $28$ DF$,$ p$-$value: $6\mathrm{.}567e-10$