Which one is the correct one? Choose all applied. 1. If the width of 95% confidence...
Which one is the correct one? Choose all applied.
1. If the width of 95% confidence interval of prediction of dependent variable is not large, the predictive ability of a regression model is good.
2. If the Multiple R squared of a regression model is 0.854, then the descriptive ability of the regression model is not good.
3. If the Multiple R squared of a regression model is 0.854, then the descriptive ability of the regression model is very good.
4. If the width of 95% confidence interval of prediction of dependent variable is large, the predictive ability of a regression model is good.
Homework Answers
Ans:
1. If the width of 95% confidence interval of prediction of dependent variable is not large, the predictive ability of a regression model is good.
Since we have,
Apparently a narrow confidence interval implies that there is a smaller chance of obtaining an observation within that interval, therefore, our accuracy is higher.
3. If the Multiple R squared of a regression model is 0.854, then the descriptive ability of the regression model is very good.
Since we have coefficient of determination (R2) is the ratio of explained variation in y to the total variation
If R2=0.854 i.e 85.4% variation in dependent variable Y explained by regressor variable X
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