The following output was generated using statistical software.    Coefficients Standard Error tStat P-value intercept 50.65625 1.891010513 26.79 0.13529 Speed -0.353125 0.036201476 -9.754 0.00019   List the prediction equation for gas mileage based on speed. Y(gas mileage)=50.65625 + (-0.353125) * X(Speed) What gas mileage is expected for a vehicle traveling 80 mph? 50.65625 +(-0.353125)*80= 50.65625 - 0.353125*80 =50.65625 - 28.25=22.40625 Is speed a good predictor of gas mileage based on the output? Explain your answer.

MATLAB: An Introduction with Applications
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The following output was generated using statistical software. 

 

Coefficients

Standard Error

t Stat

P-value

Intercept

50.65625

1.891010513

26.79

0.13529

Speed

-0.353125

0.036201476

-9.754

0.00019

 

List the prediction equation for gas mileage based on speed.

Y(gas mileage)=50.65625 + (-0.353125) * X(Speed)

What gas mileage is expected for a vehicle traveling 80 mph?

50.65625 +(-0.353125)*80= 50.65625 - 0.353125*80 =50.65625 - 28.25=22.40625

Is speed a good predictor of gas mileage based on the output? Explain your answer.

Expert Solution
Step 1

Data given

Coefficient of intercept= 50.65625

Coefficient of speed=-0.353125

 

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