In a simple linear regression , if the coefficient of determination is 0.96, what does this imply?
A) It means that 96% of the y values are positive.
B) It means that 90% of the total variation in y can be explained by the regression line.
C) It means that 96% of the x values are equal.
D) It means that 90% of the total variation in x can be explained by regression line.

Question

Quizplus · Accepted Answer

The coefficient of determination, denoted by R^2, measures the proportion of total variation in the response variable (y) that can be explained by the explanatory variable (x) through the regression model. A value of 0.96 implies that 96% of the total variation in y can be explained by the regression line. Option A, C, and D are incorrect as they do not relate to R^2 or linear regression.

In a Simple Linear Regression , If the Coefficient of Determination