In a Comprehensive Road Test on New Car Models, One $\quad y =$

question 111

Multiple Choice

In a comprehensive road test on 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: $\quad y =$ Elapsed time (in seconds) from $0 \mathrm { mph }$ to $60 \mathrm { mph }$
MAX $\quad x =$ 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

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


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


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


CASES INCLUDED 129 MISSING CASES 0
Approximately what percentage of the sample variation in acceleration time can be explained by the simple linear model?

• A) 8%
• B) 70%
• C) 0%
• D) -17%

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Definitions:

Delivery Van

A type of vehicle designed specifically for transporting products or goods efficiently.

Linear Equation

An algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable.

Depreciated Value

The reduced worth of an asset over time, typically due to wear and tear or obsolescence.

Tax Purposes

Considerations relevant to the calculation of taxes owed, including income categorization and deduction eligibility.