A linear regression model results in the equation Y = 15 - 23X. If the coefficient of determination is a perfect 1.0, the correlation coefficient must be -1.

Question

Quizplus · Accepted Answer

If the coefficient of determination is 1, it implies that all the variability in the data is explained by the linear relationship between the variables. In a linear regression model, a correlation coefficient of -1 indicates a perfect negative linear relationship between the variables. Therefore, if the coefficient of determination is perfect in a linear regression model, it means that there is a perfect negative correlation between the variables, leading to a correlation coefficient of -1.

A Linear Regression Model Results in the Equation Y =