This problem will consider the mtcars dataset in R studio. The
dependent variables is the fuel efficieny of a car in miles per
gallon (mpg). There are several independent variables to consider,
but for now we will only focus on the weight of the car recorded in
1000s of pounds (wt).
1) How much would you expect miles per gallon to decrease with a
2000 pound increase in weight of the vehicle?
2) What is the p-value for testing the null hypothesis that
there is no linear association between wt and mpg?
3) Plot the fitted values on the x-axis and the residuals on the
y-axis.
4). Comment on how well the assumption of linearity is
satisfied.
