Question

read the following description of a data set. mark wants to attract more customers to his familys hardware store, so he is investigating whether revamping the stores advertising campaign would help. to find out, mark kept data from the past several weeks on the number of 30 - second advertisements he had purchased, x, and the number of customers who had visited his store, y. the least squares regression line of this data set is: y = 8.577x + 59.777. how many customers does this line predict will visit the store during the week if mark purchases 9 advertisements? round your answer to the nearest integer. customers

Explanation:

Step1: Identify the value of x

Mark purchases 9 advertisements, so $x = 9$.

Step2: Substitute x into the regression - line equation

Substitute $x = 9$ into $y=8.577x + 59.777$. Then $y=8.577\times9+59.777$.

Step3: Calculate the value of y

First, calculate $8.577\times9 = 77.193$. Then $y=77.193 + 59.777=136.97$.

Step4: Round to the nearest integer

Rounding 136.97 to the nearest integer gives 137.

Answer:

137