Question 10 SUMMARY OUTPUT Regression Statistics Multiple R 0.763478017 R Square
ID: 3437871 • Letter: Q
Question
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
Explanation / Answer
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)
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