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.

Look at the graph and the data of the Y-axis versus the X-axis. In your own words, identify what you know about this association of the trend line.

Answer 1

A y-intercept of 5 indicates that athletes who play sports for zero hours on average will receive a rating of 5.

Modeling the relationship between a scalar answer and one or more explanatory variables using a linear technique is known as linear regression.

In this instance, x is the number of hours spent playing sports, and y is the mood rating on a scale of 0 to 10.

It is evident that the y-intercept indicates that the x-coordinate is zero, indicating that there are zero hours spent on sports.

So, a y-intercept of 5 means students who have spent 0 hours playing sports will have an average mood rating of 5.

Hence, a y-intercept of 5 means players spending 0 hours playing sports will have an average rating of 5.