Using the given regression line, we can plug in x = 5.6:
y = -23537.082(5.6) + 289694.337
y = -131904.1812 + 289694.337
y ≈ 157,790.16
Therefore, the regression line predicts that DrumSolo would sell approximately 157,790 albums if the average song length is 5.6 minutes.
Members of the popular band DrumSolo are concerned that the songs on their most recent album are too long. They decide to see if there was any relationship between song length and popularity of their previous albums.
For every previously released album, they measure the average song length (in minutes), x, and also note the number of albums sold, y.
The least squares regression line of this data set is:
y= –23537.082x + 289,694.337
How many album sales does this line predict if the average song length is 5.6 minutes?
Round your answer to the nearest integer.
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1 answer