Question

the scatter plot plots the relationship between hours spent on video games and hours spent on homework last week for students in joyces class. joyce created the following scatter plot and trend line to show this relationship. assuming the line correctly shows the trend in the data, what does it mean that the lines y - intercept is 23?
choose 1 answer:
joyce spent approximately 23 hours on homework.
joyce spent approximately 23 hours on video games.
the model indicates that students who spent 23 hours on video games will average approximately 0 hours spent on homework.
the model indicates that students who spent 0 hours on video games will average approximately 23 hours spent on homework.

Explanation:

The y - intercept of a linear model (trend line) in a scatterplot represents the value of the dependent variable (y - variable) when the independent variable (x - variable) is 0. In this scatterplot, the x - axis is "Hours spent on video games" and the y - axis is "Hours spent on homework". So when the hours spent on video games (x) is 0, the model predicts the hours spent on homework (y) is 23. Option A is wrong as it's about Joyce's individual time, not the model's prediction. Option B is wrong as it confuses the variables (y - intercept is about y - variable when x = 0, not x - variable). Option C is wrong as it swaps the variables (it says x = 23 gives y = 0, but we need x = 0 gives y = 23). Option D correctly states that when video game hours (x) are 0, homework hours (y) are approximately 23 according to the model.

Answer:

D. The model indicates that students who spent 0 hours on video games will average approximately 23 hours spent on homework.