In a multiple regression model,the value of the coefficient of determination has to fall between
A)−1 and +1.
B)0 and +1.
C)−1 and 0.
D)None of these choices.

Question

Quizplus · Accepted Answer

The coefficient of determination, also known as R-squared, is a measure of how well the regression model fits the data. It represents the proportion of the variance in the dependent variable that is explained by the independent variables in the model.

The value of R-squared ranges from 0 to 1, where 0 indicates that the model explains none of the variability of the response data around its mean, while 1 indicates that the model explains all of the variability of the response data around its mean. Therefore, the correct answer is B) 0 and +1, as the coefficient of determination cannot be negative.

In a Multiple Regression Model,the Value of the Coefficient of Determination