SUMMARY OUTPUT             Regression Statistics             Multiple R 0.908603921           R Square 0.825561086           Adjusted R Square 0.818138154           Standard Error 398.0910071           Observations 50                         ANOVA               df SS MS F Significance F   Regression 2 35250755.67 17625377.84 111.2176468 1.50876E-18   Residual 47 7448393.148 158476.4499       Total 49 42699148.82                         Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 1304.904779 197.6548431 6.601936785 3.28664E-08 907.2745236 1702.535035 Annual Household Income ($) 0.033133009 0.003967906 8.350250854 7.68206E-11 0.025150612 0.041115406 Household Size 356.2959015 33.20089044 10.73151644 3.12342E-14 289.5043251 423.0874779 1) Is there any multicollinearity problem in the above regression model? How do you know?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 6SGR
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SUMMARY OUTPUT

 

 

 

 

 

 

Regression Statistics

 

 

 

 

 

 

Multiple R

0.908603921

 

 

 

 

 

R Square

0.825561086

 

 

 

 

 

Adjusted R Square

0.818138154

 

 

 

 

 

Standard Error

398.0910071

 

 

 

 

 

Observations

50

 

 

 

 

 

 

 

 

 

 

 

 

ANOVA

 

 

 

 

 

 

 

df

SS

MS

F

Significance F

 

Regression

2

35250755.67

17625377.84

111.2176468

1.50876E-18

 

Residual

47

7448393.148

158476.4499

 

 

 

Total

49

42699148.82

 

 

 

 

 

 

 

 

 

 

 

 

Coefficients

Standard Error

t Stat

P-value

Lower 95%

Upper 95%

Intercept

1304.904779

197.6548431

6.601936785

3.28664E-08

907.2745236

1702.535035

Annual Household Income ($)

0.033133009

0.003967906

8.350250854

7.68206E-11

0.025150612

0.041115406

Household
Size

356.2959015

33.20089044

10.73151644

3.12342E-14

289.5043251

423.0874779

1) Is there any multicollinearity problem in the above regression model? How do you know? 

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