Pearl Portillo V 08: 84.3 and 84.4 7 of 21 (19 complete) HW Scor weights of vari

Question

Pearl Portillo V 08: 84.3 and 84.4 7 of 21 (19 complete) HW Scor weights of variousData Table 008 model year. For th 089. A twelfth car mination of the exp twelfth car influen car to the data set ha Weight (pounds), Miles per Gallon, y able Car 1 Car 2 Car 3 Car 4 Car 5 Car 6 Car 7 Car 8 Car 9 Car 10 Car 11 3,768 3,982 3,526 3,179 2,575 3,725 2,610 3,779 3,308 2,991 2,750 20 of the expanded da ded.) 24 27 20 27 18 19 26 25 x and then click Print Done course (F18 Statistics F2F CRN 74387) is based on Sullivan: Statistics: Informed Decisions Using Data, yright 2018 Pearson Education

Explanation / Answer

R-output :

> x=c(3768,3982,3526,3179,2575,3725,2610,3779,3308,2991,2750)

> y=c(22,20,22,24,27,20,27,18,19,26,25)

> l=lm(y~x)

> summary(l)

Call:

lm(formula = y ~ x)

Residuals:

Min 1Q Median 3Q Max

-3.6283 -0.5218 0.4763 0.8924 1.9388

Coefficients:

Estimate Std. Error t value Pr(>|t|)   

(Intercept) 41.089384 3.566902 11.520 1.09e-06 ***

x -0.005581 0.001073 -5.203 0.000562 ***

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Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 1.716 on 9 degrees of freedom

Multiple R-squared: 0.7505, Adjusted R-squared: 0.7228

F-statistic: 27.07 on 1 and 9 DF, p-value: 0.0005619

(a) The coefficient of determination of the expanded data set is R^2 = 0.75 = 75%

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