Question

Math

Posted 3 months ago

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

Sign in to unlock the answer

Answer from Sia

Posted 3 months ago

Solution by Steps

step 2

In this context, the dependent variable is "Mood rating" and the independent variable is "Hours playing sports." Therefore, the $y$-intercept of 5 indicates the expected mood rating for a student who spent 0 hours playing sports

step 3

Evaluate the given answer choices in the context of the interpretation of the $y$-intercept

1 Answer

D

Key Concept

$y$-intercept of a regression line

Explanation

The $y$-intercept of a regression line represents the expected value of the dependent variable when the independent variable is zero.

Not the question you are looking for? Ask here!

Enter question by text

Enter question by image

Upgrade to Asksia Pro

Join a AskSia's Pro Plan, and get 24/7 AI tutoring for your reviews, assignments, quizzes and exam preps.

Unlimited chat query usages

Strong algorithms that better know you

Early access to new release features

Study Other Question