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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