Final and course grade: For this data set, the least squares regression line is Y = 31.72 + 0.62X, where X represents the final exam score as a percent and Y represents the predicted course grade as a percent. A student who earns a 45% on the final exam is predicted to earn a course grade of 32%. Which one of the following is a reason the prediction is not accurate?  There is a calculation error.  There are no students in the data set who earned 45% on the final exam.  This is considered an extrapolation.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 18T
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Final and course grade: For this data set, the least squares regression line is Y = 31.72 + 0.62X, where X represents the final exam score as a percent and Y represents the predicted course grade as a percent.

A student who earns a 45% on the final exam is predicted to earn a course grade of 32%.

Which one of the following is a reason the prediction is not accurate?

  1.  There is a calculation error.
  2.  There are no students in the data set who earned 45% on the final exam.
  3.  This is considered an extrapolation.
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