Question

Y^ = b0 + b1X1 +b2X2/1 Interpret the value of R2 obtained using the equation above....

Y^ = b0 + b1X1 +b2X2/1

Interpret the value of R2 obtained using the equation above.

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.970383
R Square 0.941644
Adjusted R Square 0.928676
Standard Error 134.4072
Observations 12
ANOVA
df SS MS F Significance F
Regression 2 2623543 1311772 72.61276 2.8E-06
Residual 9 162587.7 18065.3
Total 11 2786131
Coefficients Standard Error t Stat P-value Lower 95% Upper 95%
Intercept 707.4747 230.4927 3.069402 0.013367 186.0641 1228.885
X Variable 1 -7.39221 7.03366 -1.05098 0.320669 -23.3035 8.519035
X Variable 2 0.154305 0.047608 3.241148 0.01014 0.046608 0.262002

The estimated regression equation is Y = 707.4747 - 7.39221X1 + 0.154305X2/1

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Homework Answers

Answer #1

The value of the R ^ 2 as shown in the above table is 0.941644 which means that how close the data are to the fitted regression line. It is also known as the coefficient of determination, or the coefficient of multiple determination in case of multiple regression.

In the above output, the value of 94% indicates that the model explains 94% of the variability of the response data around its mean.Since the value of R^, 2 is reasonably high so the model fits the data well.

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