Reference no: EM132846685
Below is output from a multiple regression to predict the miles per gallon (mpg) of a car using the horsepower (hp) and whether the car has an automatic transmission (AM: 1=Yes, 0=No).
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 26.584914 1.425094 18.655 < 2e-16 ***
hp 0.958888 0.007857 -7.495 2.92e-08 ***
am 5.277085 1.079541 4.888 3.46e-05 ***
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Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Residual standard error: 2.909 on 29 degrees of freedom
Multiple R-squared: 0.782, Adjusted R-squared: 0.767
F-statistic: 52.02 on 2 and 29 DF, p-value: 2.55e-10
Suppose it is true that as horsepower increases the amount of miles per gallon decreases. Is the slope of the regression line from this sample consistent with your belief and why or why not?
a. No, because Std. Error is positive.
b. Yes, because the p-value is positive.
c. No, because the slope is positive.
d. Yes, because the slope is negative.