Question

read the following description of a data set. last week, a political campaign aired a new tv ad promoting its candidate. the ad was aired a different number of times depending on the region. to decide how many times to air the ad next week, the campaign manager looked at the impact the ad had made in the different regions. she tracked the number of times the ad had run in each region, x, and the increase of the candidates approval rating in those regions, y. the least squares regression line of this data set is: y = 0.132x + 6.324 what approval rating does this line predict in a region where the ad is run 15 times? round your answer to the nearest thousandth. points

Explanation:

Step1: Substitute \(x = 15\) into the regression equation

Given the regression line \(y=0.132x + 6.324\), substitute \(x = 15\).
So, \(y=0.132\times15+6.324\).

Step2: Calculate the value of \(y\)

First, calculate \(0.132\times15\):
\(0.132\times15=(0.1 + 0.03+0.002)\times15=1.5+0.45 + 0.03=1.98\).
Then, add \(6.324\) to the result:
\(y=1.98+6.324\).
\(y = 8.304\).

Answer:

\(8.304\)