Which of the following statements is true?
A) If the confidence interval estimate for the regression slope coefficient crosses over zero, the average change in y for a one-unit change in x may be zero.
B) If the regression slope coefficient is very close to zero, this means that the relationship between the x and y variables is statistically insignificant.
C) A statistically significant regression slope coefficient indicates that for a one-unit change in y there will be a positive change in x by an amount equal to the regression slope coefficient.
D) It is acceptable to make predictions for y using x values that are outside the range of the data that was used in the regression.

Question

Quizplus · Accepted Answer

A) The statement is true because if the confidence interval for the regression slope includes zero, it means that we cannot rule out the possibility that there is no linear relationship between the variables, i.e., the slope could be zero, indicating no average change in y for a one-unit change in x.

Which of the Following Statements Is True