Question

The graph shows the relationship between hours spent on video games and hours spent on homework last week for students in Joyce's class. Joyce created the following scatterplot and regression line to show this relationship.
The fitted line has a
\[y\]-intercept of
\[23\].
What is the best interpretation of this
\[y\]-intercept?
Choose 1 answer:
Choose 1 answer:
(Choice A) Joyce spent approximately
\[23\] hours on homework.
A
Joyce spent approximately
\[23\] hours on homework.
(Choice B) The model indicates that students who spent
\[0\] hours on video games will average
\[23\] hours spent on homework.
B
The model indicates that students who spent
\[0\] hours on video games will average
\[23\] hours spent on homework.
(Choice C) Joyce spent approximately
\[23\] hours on video games.
C
Joyce spent approximately
\[23\] hours on video games.
(Choice D) The model indicates that students who spent
\[23\] hours on video games will average approximately
\[0\] hours spent on homework.
D
The model indicates that students who spent
\[23\] hours on video games will average approximately
\[0\] hours spent on homework.

Answer 1

The correct interpretation of the \(y\)-intercept in the context of the regression line is:

**(Choice B)** The model indicates that students who spent \(0\) hours on video games will average \(23\) hours spent on homework.

The \(y\)-intercept represents the value of \(y\) (hours spent on homework) when \(x\) (hours spent on video games) is zero.