TABLE 12-6
The following Microsoft Excel tables are obtained when "Score received on an exam (measured in percentage points)" (Y) is regressed on "percentage attendance" (X) for 22 students in a Statistics for Business and Economics course.

-Referring to Table 12-6, which of the following statements is true?
A) If attendance increases by 0.341%, the estimated mean score received will increase by 1 percentage point.
B) If attendance increases by 1%, the estimated mean score received will increase by 39.39 percentage points.
C) If attendance increases by 1%, the estimated mean score received will increase by 0.341 percentage points.
D) If the score received increases by 39.39%, the estimated mean attendance will go up by 1%.

Question

TABLE 12-6
The following Microsoft Excel tables are obtained when "Score received on an exam (measured in percentage points)" (Y) is regressed on "percentage attendance" (X) for 22 students in a Statistics for Business and Economics course.
 
-Referring to Table 12-6, which of the following statements is true?
A) If attendance increases by 0.341%, the estimated mean score received will increase by 1 percentage point. 
B) If attendance increases by 1%, the estimated mean score received will increase by 39.39 percentage points. 
C) If attendance increases by 1%, the estimated mean score received will increase by 0.341 percentage points. 
D) If the score received increases by 39.39%, the estimated mean attendance will go up by 1%.

Quizplus · Accepted Answer

From the table, the coefficient for attendance (0.341) represents the estimated change in the mean score received for every 1% increase in attendance. Therefore, if attendance increases by 1%, the estimated mean score received will increase by 0.341 percentage points. Option A and B are incorrect because they are reversed and exaggerated respectively. Option D is incorrect because it implies a causal relationship between the score received and attendance, but the regression only shows a correlation between the two variables.

TABLE 12-6 The Following Microsoft Excel Tables Are Obtained When "Score Received