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Write the Word or Phrase That Best Completes Each Statement 0mph0 \mathrm { mph }

Question 91

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Write the word or phrase that best completes each statement or answers the question.
-In a comprehensive road test on all new car models, one variable measured is the time it takes a 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 0mph0 \mathrm { mph } to 60mph60 \mathrm { mph }
MAX: x1=x _ { 1 } = Maximum speed attained (miles per hour)
Initially, the simple linear model E(y)=β0+β1x1\mathrm { E } ( \mathrm { y } ) = \beta _ { 0 } + \beta _ { 1 } \mathrm { x } _ { 1 } was fit to the data. Computer printouts for the analysis are given below:
UNWEIGHTED LEAST SQUARES LINEAR REGRESSION OF TIME60
 Write the word or phrase that best completes each statement or answers the question. -In a comprehensive road test on all new car models, one variable measured is the time it takes a 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 _ { 1 } =  Maximum speed attained (miles per hour) Initially, the simple linear model  \mathrm { E } ( \mathrm { y } ) = \beta _ { 0 } + \beta _ { 1 } \mathrm { x } _ { 1 }  was fit to the data. Computer printouts for the analysis are given below: UNWEIGHTED LEAST SQUARES LINEAR REGRESSION OF TIME60     \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 Find and interpret the estimate  b _ { 1 }  in the printout above.

 R-SQUARED 0.6960 RESID. MEAN SQUARE (MSE) 1.28695 ADJUSTED R-SQUARED 0.6937 STANDARD DEVIATION 1.13444\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}

 Write the word or phrase that best completes each statement or answers the question. -In a comprehensive road test on all new car models, one variable measured is the time it takes a 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 _ { 1 } =  Maximum speed attained (miles per hour) Initially, the simple linear model  \mathrm { E } ( \mathrm { y } ) = \beta _ { 0 } + \beta _ { 1 } \mathrm { x } _ { 1 }  was fit to the data. Computer printouts for the analysis are given below: UNWEIGHTED LEAST SQUARES LINEAR REGRESSION OF TIME60     \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 Find and interpret the estimate  b _ { 1 }  in the printout above.

CASES INCLUDED 129 MISSING CASES 0
Find and interpret the estimate b1b _ { 1 } in the printout above.

Correct Answer:

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b1 = -0.08365. For every 1 mil...

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