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

question 65

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 mph to 60 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:

NWEIGHTED LEAST SQUARES LINEAR REGRESSION OF TIME60

$\begin{array}{l|c|c|c|c}\text { PREDICTOR } & & & & \\\text { VARIABLES } & \text { COEFFICIENT } & \text { STD ERROR } & \text { STUDENT'S T } & \text { P } \\\hline \text { CONSTANT } & 18.7171 & 0.63708 & 29.38 & 0.0000 \\\text { MAX } & -0.08365 & 0.00491 & -17.05 & 0.0000\end{array}$


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

$\begin{array}{l|r|c|c|c|c}\text { SOURCE } & \text { DF } & \text { SS } & \text { MS } & \mathrm{F} & \mathrm{P} \\\hline \text { REGRESSION } & 1 & 374.285 & 374.285 & 290.83 & 0.0000 \\\text { RESIDUAL } & 127 & 163.443 & 1.28695 & & \\\text { TOTAL } & 128 & 537.728 & & &\end{array}$


CASES INCLUDED 129 $\quad$ MISSING CASES 0

$\text { Find and interoret the estimate } \hat{\beta}_{1} \text { in the printout above. }$

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Definitions:

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Influence wielded by an individual or group due to their recognized knowledge or expertise in a specific area.

Manager's Authority

The rights and powers entrusted to a manager to make decisions and direct resources and personnel towards the accomplishment of organizational objectives.

Manager's Power

The authority and influence held by managers to make decisions and direct the actions of employees.

Conglomerate

A coarse-grained sedimentary rock composed of rounded fragments or clasts of pre-existing rocks.