Question

read the following description of a data - set. last year, 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 year, 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 = 0.467x - 2.167. what approval rating does this line predict in a region where the ad is run 8 times? round your answer to the nearest thousandth.

Explanation:

Step1: Identify the regression - line equation

The least - squares regression line is $y = 0.467x+2.167$.

Step2: Substitute the value of $x$

We are given that $x = 8$. Substitute $x = 8$ into the equation: $y=0.467\times8 + 2.167$.

Step3: Perform the multiplication

$0.467\times8=3.736$.

Step4: Perform the addition

$y=3.736 + 2.167=5.903$.

Answer:

$5.903$