AnswersDRHS GA-Statistical ReasoningMaking Predictions from a Least-Squares Regression LineQuestion 4
4
QuizMultiple Choice

Making Predictions from a Least-Squares Regression Line

Question 4 • DRHS GA-Statistical Reasoning

A statistics teacher was interested in the relationship between the number of days students waited to start a project and the score that project received (out of 100 points). Information was collected on several students and was used to obtain the regression equation ŷ = –3.64x + 96.5, where x represents the number of procrastination days and ŷ is the predicted grade. Which statement best describes the meaning of the y-intercept of the regression line?

Answer
A
When the grade is 0, the predicted number of procrastination days is 0.
B
When the grade is 0, the predicted number of procrastination days is 96.5.
C
When the number of procrastination days is 0, the predicted grade is 3.64 points.
D
When the number of procrastination days is 0, the predicted grade is 96.5 points.

Explanation

In the regression equation ŷ = –3.64x + 96.5, the y-intercept is 96.5. It represents the predicted grade when x, the number of procrastination days, is 0. Therefore, when students start the project without waiting, the predicted grade is 96.5 points, which is choice D.

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