A measure of goodness of fit for the estimated regression equation is the Question 5 options:...

A measure of goodness of fit for the estimated regression equation is the

Question 5 options:

	sample size
	mean square due to regression
	mean square due to error
	multiple coefficient of determination

Solutions

Expert Solution

The answer is multiple coefficient of determination.

The coefficient of determination is a measure of explanatory power of regression and is defined as the ratio of variation explained by regression to the total variation or in other words it is the proportion of variation explained by regression. It is calculated as

IF the value of is close to 1, variation is explained by regression and the regression fitted is "good".

If the value of is close to zero, no variation is explained by regression and the fitted model can not be used for prediction.

It can also be noted that is the square of correlation between observed and predicted dependent variable.

and it lies between 0 and 1.

orchestra answered 10 months ago

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