Question: Using test data on 43 vehicles, an analyst fitted a regression to predict CityMPG (miles per gallon in city driving) using as predictors Length (length

Using test data on 43 vehicles, an analyst fitted a regression to predictCityMPG(miles per gallon in city driving) using as predictorsLength(length of car in inches),Width(width of car in inches), andWeight(weight of car in pounds).

R2 0.682
Adjusted R2 0.658 n 43
R 0.826 k 3
Std. Error 2.558 Dep. Var. CityMPG

ANOVA table
Source SS df MS F p-value
Regression 547.3722 3 182.4574 27.90 8.35E-10
Residual 255.0929 39 6.5408
802.4651 42

Regression output confidence interval
variables Coefficients Std. Error t Stat p-Value Lower 95% Upper 95% VIF
Intercept 39.4492 8.1678 4.830 0.0000 22.9283 55.9701
Length (in) 0.0016 0.0454 0.035 0.9725 0.0934 0.0902 2.669
Width (in) 0.0463 0.1373 0.337 0.7379 0.3239 0.2314 2.552
Weight (lbs) 0.0043 0.0008 5.166 0.0000 0.0060 0.0026 2.836

(a)Referring to theFstatisticand itsp-value, what do you conclude about the overall fit of this model? The regression is (Click to select) significant insignificant based on theFcalcandp-value (b)Do you see evidence that some predictors were unhelpful?(You may select more than one answer. Single click the box with the question mark to produce a check mark for a correct answer and double click the box with the question mark to empty the box for a wrong answer.) check all that apply

  • Lengthunanswered
  • Widthunanswered
  • Weightunanswered

(c)Do you suspect that multi-colllinearity is a problem? multiple choice 2

  • Yes

No

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