Question

read the following description of a data set.
mitch is planning a drum solo for his bands next concert. to help craft an ideal solo, he decided to compile data on his favorite drummers. he examined both their performances and their drum sets.
mitch recorded the number of instruments in each drummers set, x, and each drummers typical solo length (in minutes), y.
the least squares regression line of this data set is:
y = 0.299x + 1.787
how long of a drum solo does this line predict for a drummer with 18 instruments in his or her drum set?
round your answer to the nearest thousandth.
minutes

Explanation:

Step1: Substitute \(x = 18\) into the regression equation

We have the regression line \(y=0.299x + 1.787\). Substitute \(x = 18\) into it: \(y=0.299\times18+1.787\).

Step2: Calculate the value of \(y\)

First, calculate \(0.299\times18\): \(0.299\times18=(0.3 - 0.001)\times18=5.4-0.018 = 5.382\). Then add \(1.787\): \(y=5.382+1.787=7.169\).

Answer:

\(7.169\)