Question

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? choose 1 answer: a the model indicates that students who had a mood rating of 0 will spend approximately 5 hours playing sports. b the model indicates that students who spent 0 hours playing sports will have an average mood rating of 5. c the average mood rating was 5. d students who had a mood rating of 0 must have spent 5 hours playing sports.

Explanation:

The y - intercept of a regression line is the value of the dependent variable (y) when the independent variable (x) is 0. In this case, the independent variable is hours playing sports and the dependent variable is mood rating. So when hours playing sports (x) = 0, the mood rating (y) is 5 according to the regression line.

Answer:

B. The model indicates that students who spent 0 hours playing sports will have an average mood rating of 5.