Question 10 SUMMARY OUTPUT Regression Statistics Multiple R

Question 10

SUMMARY OUTPUT

Regression Statistics

Multiple R

0.763478017

R Square

0.582898682

Adjusted R Square

-0.042753296

Standard Error

9.233767441

Observations

6

ANOVA

df

SS

MS

F

Significance F

Regression

3

238.308411

79.43614

0.931666

0.55497

Residual

2

170.5249223

85.26246

Total

5

408.8333333

Coefficients

Standard Error

t Stat

P-value

Lower 95%

Upper 95%

Lower 95.0%

Upper 95.0%

Intercept

109.5050434

43.84763055

2.497399

0.129831

-79.1561

298.1662

-79.1561

298.1662

Shoe Size

-8.515728536

5.743895181

-1.48257

0.276409

-33.2297

16.19826

-33.2297

16.19826

Age

0.35991668

0.360044465

0.999645

0.422786

-1.18923

1.909063

-1.18923

1.909063

Weight

0.224625819

0.185509341

1.21086

0.349618

-0.57356

1.022808

-0.57356

1.022808

According to the above Regression summary output, what is the regression equation?

a) y=43.848+5.744(shoe size)+.360(age)+.186(weight)

b)y=43.848-8.516(shoe size)+.360(age)+.350(weight)

c) y=109.51-8.516(shoe size)+.360(age)+.224(weight)

d)

None of the above

SUMMARY OUTPUT
Regression Statistics
Multiple R	0.763478017
R Square	0.582898682
Adjusted R Square	-0.042753296
Standard Error	9.233767441
Observations	6
ANOVA
	df	SS	MS	F	Significance F
Regression	3	238.308411	79.43614	0.931666	0.55497
Residual	2	170.5249223	85.26246
Total	5	408.8333333
	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%	Lower 95.0%	Upper 95.0%
Intercept	109.5050434	43.84763055	2.497399	0.129831	-79.1561	298.1662	-79.1561	298.1662
Shoe Size	-8.515728536	5.743895181	-1.48257	0.276409	-33.2297	16.19826	-33.2297	16.19826
Age	0.35991668	0.360044465	0.999645	0.422786	-1.18923	1.909063	-1.18923	1.909063
Weight	0.224625819	0.185509341	1.21086	0.349618	-0.57356	1.022808	-0.57356	1.022808

Solution

Sol) Option C is correct

From above analysis

The Regression Model is

Y= 109.51 - 8.516(shoe size)+ 0.360(age)+ 0.224(weight)