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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
-Midterm exam scores could range from 0 to 100. Based on the equation, final exam scores are predicted to range from
A) 0 to 100.
B) 50 to 100.
C) 50 to 75.
D) 0 to 75.

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
-Midterm exam scores could range from 0 to 100. Based on the equation, final exam scores are predicted to range from
A) 0 to 100.
B) 50 to 100.
C) 50 to 75.
D) 0 to 75.

Quizplus · Accepted Answer

To find the range of predicted final exam scores, substitute the minimum and maximum midterm exam scores (0 and 100, respectively) into the regression equation: final exam = 50 + 0.5(midterm). For a midterm score of 0, the final exam score is 50. For a midterm score of 100, the final exam score is 50 + 0.5(100) = 100. Therefore, the range of predicted final exam scores is from 50 to 100.

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