Asksia AI LOGO

Sia

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 yy-intercept of 5 .
What is the best interpretation of this yy-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 yy-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 yy-intercept
1 Answer
D
Key Concept
yy-intercept of a regression line
Explanation
The yy-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