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 of car in inches), Width (width of car in inches), and Weight (weight of car in pounds). R2 0.682 Adjusted R2 0.658 n 43 R 0.826 k 3 Standard error 2.558 Dependent variable 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 VIF variables Coefficients Standard error t statistic p-Value Lower 95% Upper 95% 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 the Fstatistic and its p-value, what do you conclude about the overall fit of this model?

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 of car in inches), Width (width of car in inches), and Weight (weight of car in pounds). R2 0.682 Adjusted R2 0.658 n 43 R 0.826 k 3 Standard error 2.558 Dependent variable 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 VIF variables Coefficients Standard error t statistic p-Value Lower 95% Upper 95% 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 the Fstatistic and its p-value, what do you conclude about the overall fit of this model?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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Question

100%

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 of car in inches), Width (width of car in inches), and Weight (weight of car in pounds).

R²	0.682
Adjusted R²	0.658	n	43
R	0.826	k	3
Standard error	2.558	Dependent variable	CityMPG

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

variables	Coefficients	Standard error	t statistic	p-Value	Lower 95%	Upper 95%
Regression output	confidence interval	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