Which of the following statistics and procedures can be used to determine whether a linear model should be employed?
A)The standard error of estimate.
B)The coefficient of determination.
C)The t-test of the slope.
D)All of these choices are correct.

Question

Quizplus · Accepted Answer

All three options listed can be used to determine whether a linear model should be employed.

The standard error of estimate tells us how much the actual values differ from the predicted values in a linear regression model. A small standard error indicates that the model fits the data well and a linear model may be appropriate.

The coefficient of determination (R-squared) shows the proportion of variation in the dependent variable that is explained by the independent variable(s). A high R-squared value implies that the linear model is a good fit for the data.

The t-test of the slope (also known as the t-test of the coefficient) is used to determine if the slope of the linear regression model is significantly different from zero. If it is significantly different from zero, then the linear model may be appropriate.

Which of the Following Statistics and Procedures Can Be Used