In: Statistics and Probability
5. Please find below regression output for regression of Height on Shoesize and a New variable. interpret the following regression output, i.e. comment on
RSquare, Significance F, p-values of the two independent variables. (20)
SUMMARY OUTPUT |
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Regression Statistics |
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Multiple R |
0.962912 |
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R Square |
0.9272 |
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Adjusted RSquare |
0.913963 |
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Standard Error |
1.723551 |
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Observations |
14 |
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ANOVA |
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df |
SS |
MS |
F |
Significance F |
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Regression |
2 |
416.1802 |
208.0901 |
70.04916 |
5.52E-07 |
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Residual |
11 |
32.67693 |
2.97063 |
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Total |
13 |
448.8571 |
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Coefficients |
Standard Error |
t Stat |
P-value |
Lower 95% |
Upper 95% |
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Intercept |
21.84225 |
6.996671 |
3.121807 |
0.009719 |
6.442685 |
37.24182 |
|
Shoesize |
1.276756 |
0.367657 |
3.472686 |
0.005215 |
0.467549 |
2.085963 |
|
New_Var |
0.450635 |
0.133383 |
3.378511 |
0.006159 |
0.157062 |
0.744209 |