8
AssignmentMultiple Choice

Calculating the Least-Squares Regression Line

Question 8 • CA-Statistics and Probability A

Let x represent the paper 1 score (out of 40) and ŷ represent the predicted paper 2 score (out of 100). Which correctly states the equation for the least-squares regression line and the interpretation of its slope?

Answer
A
ŷ = 5.2 + 2.2x; scoring 1 more point on paper 1 is associated with a 2.2-point increase on paper 2.
B
ŷ = 5.2 + 2.2x; scoring 2.2 more points on paper 1 is associated with a 1-point increase on paper 2.
C
ŷ = 2.2 + 5.2x; scoring 1 more point on paper 1 is associated with a 5.2-point increase on paper 2.
D
ŷ = 2.2 + 5.2x; scoring 5.2 more points on paper 1 is associated with a 1-point increase on paper 2.
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