Use the following information for questions:
Past data has shown that the regression line relating the final exam score and the midterm exam score for students who take statistics from a certain professor is:
final exam = 50 + 0.5 * midterm
-Which of the following gives a correct interpretation of the slope?
A) A student who scored 0 on the midterm would be predicted to score 50 on the final exam.
B) A student who scored 0 on the final exam would be predicted to score 50 on the midterm exam.
C) A student who scored 2 points higher than another student on the midterm would be predicted to score 1 point higher than the other student on the final exam.
D) None of the interpretations above are correct interpretations of the slope.

Question

Use the following information for questions:
 Past data has shown that the regression line relating the final exam score and the midterm exam score for students who take statistics from a certain professor is:
final exam = 50 + 0.5 * midterm
-Which of the following gives a correct interpretation of the slope?
A) A student who scored 0 on the midterm would be predicted to score 50 on the final exam.
B) A student who scored 0 on the final exam would be predicted to score 50 on the midterm exam.
C) A student who scored 2 points higher than another student on the midterm would be predicted to score 1 point higher than the other student on the final exam.
D) None of the interpretations above are correct interpretations of the slope.

Quizplus · Accepted Answer

The slope in the regression equation (0.5) indicates the change in the dependent variable (final exam score) for each one-unit increase in the independent variable (midterm exam score). Therefore, a 2-point increase in the midterm exam score would predict a 1-point increase in the final exam score, making option C correct.

Use the Following Information for Questions