Question

Brooke wonders how many times she has played her favorite songs on her computer. To investigate, she looked up information stored by her music playing software. Brooke determined how long she had owned each song (in months), x. She also counted how many times each song had been played, y.

Months owned Plays
3 36
12 57
15 92
25 83
26 87

The least squares regression line of this data set is: y=4.862x–56.207
Complete the following sentence:
For each additional month owning the song, the least squares regression line predicts that it would have played ______more times.

Answer 1

For each additional month owning the song, the least squares regression line predicts that the song would have played 4.862 more times.

Step-by-step explanation:

The least squares regression line given by Brooke's data is y=4.862x–56.207. In this equation, the slope of the regression line is the coefficient of x, which is 4.862.

This number represents the rate of change in y, the number of plays, for each additional unit increase in x, months owned.

Therefore, for each additional month owning the song, the least squares regression line predicts that it would have played 4.862 more times.