Playing video games makes Jeremiah so happy that he thinks it even helps him complete more schoolwork. Jeremiah's roommate Bryan is skeptical, so over the next few days, Bryan asks Jeremiah about his progress on his daily reading.
For each day, Bryan notes the number of minutes Jeremiah spends playing video games, x. He also takes the number of pages Jeremiah reads and divides it by the total number of pages assigned, y.
Minutes playing video games Percentage of reading assignment
44 43
48 48
58 36
90 32
94 32
The correct least squares regression line for the data set is:
y=
–
0.263x+55.787
Use it to complete the following sentence:
If Jeremiah spends an additional minute playing video games, the least squares regression line predicts his completion percentage drops by
points.
1 answer
In the least squares regression line equation \(y = -0.263x + 55.787\), the coefficient of \(x\) (which is \(-0.263\)) represents the change in the predicted value of \(y\) (the percentage of the reading assignment completed) for each additional unit increase in \(x\) (the number of minutes spent playing video games).
Therefore, if Jeremiah spends an additional minute playing video games, the least squares regression line predicts his completion percentage drops by 0.263 points.
