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Statistics and probability

Course: Statistics and probability > Unit 5

Lesson 4: Least-squares regression equations

Interpreting slope and y-intercept for linear models

AP.STATS: DAT‑1 (EU), DAT‑1.H (LO), DAT‑1.H.2 (EK), DAT‑1.H.3 (EK) CCSS.Math: 8.SP.A.3, HSS.ID.C.7

Julio distributed a survey to his fellow students asking them how many hours they spent playing sports in the past day. He also asked them to rate their mood on a scale from 0 to 10, with 10 being the happiest. Julio created the following scatterplot and regression line to show this relationship.

The fitted line has a y-intercept of 5.

What is the best interpretation of this y-intercept?

(Choice A)
Students who had a mood rating of 0 must have spent 5 hours playing sports.
(Choice B)
The average mood rating was 5.
(Choice C)
The model indicates that students who had a mood rating of 0 will spend approximately 5 hours playing sports.
(Choice D)
The model indicates that students who spent 0 hours playing sports will have an average mood rating of 5.

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Statistics and probability

Course: Statistics and probability > Unit 5

Problem