In a Comprehensive Road Test for New Car Models, One $y$

Essay

In a comprehensive road test for new car models, one variable measured is the time it
takes the car to accelerate from 0 to 60 miles per hour. To model acceleration time, a
regression analysis is conducted on a random sample of 129 new cars. TIME60: $y$ = Elapsed time (in seconds) from $0 \mathrm { mph }$ to $60 \mathrm { mph }$
MAX: $x =$ Maximum speed attained (miles per hour)
The simple linear model $E ( y ) = \beta _ { 0 } + \beta _ { 1 } x$ was fit to the data. Computer printouts for the analysis are given below:
$\begin{array}{l|c|c|c|c}\text { PREDICTOR } & & & & \\\text { VARIABLES } & \text { COEFFICIENT } & \text { STD ERROR } & \text { STUDENT'S T } & \text { P } \\\hline \text { CONSTANT } & 18.7171 & 0.63708 & 29.38 & 0.0000 \\\text { MAX } & -0.08365 & 0.00491 & -17.05 & 0.0000\end{array}$

$\begin{array}{llll}\text { R-SQUARED } & 0.6960 & \text { RESID. MEAN SQUARE (MSE) } & 1.28695 \\\text { ADJUSTED R-SQUARED } & 0.6937 & \text { STANDARD DEVIATION } & 1.13444\end{array}$




CASES INCLUDED 129 MISSING CASES 0 $$\text { Find and interpret the estimate } \hat { \beta } 1 \text { in the printout above. }$$