Which one is better? Model1, 2 or 3 and why? Model 3 -1.6E-06 4.49E-06 Model 2 M

Question

Which one is better? Model1, 2 or 3 and why?

Model 3

-1.6E-06

4.49E-06

Model 2

Model 1

SUMMARY OUTPUT Regression Statistics Multiple R 0.946813 R Square 0.896454 Adjusted R Square 0.896247 Standard Error 3.675339 Observations 1004 ANOVA df SS MS F Significance F Regression 2 117064.1 58532.04 4333.100495 0 Residual 1001 13521.63 13.50812 Total 1003 130585.7 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 24.61135 0.348672 70.58588 0 23.92713491 25.29556 23.92713 25.29556 Day 0.035784 0.001602 22.3324 5.77651E-90 0.032639703 0.038928 0.03264 0.038928 Days^2 1.46E-06 1.54E-06 0.947789 0.343465423 -1.56629E-06 4.49E-06

-1.6E-06

4.49E-06

Explanation / Answer

R Square ( Coefficient of determination) of the model shows the percentage of total variation in the dependent variable (y) is explained by Independent variable(x). It refers to the proportion of explained variance.

R2 of Model 1= 0.896176884

R2 of Model 2=0.997294

R2 of Model 3=0.896454

Model 2 provides the highest R2 , This means 99.73% of total variation of Y is explaines by Regression model.

Therefore Model 2 is the best model in terms of R2.

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