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question 8 of 25 suppose the linear regression line y = 2.1x + 130 pred…

Question

question 8 of 25
suppose the linear regression line y = 2.1x + 130 predicts sales based on the money spent on advertising. if x represents the dollars spent in advertising, and y represents the company sales in dollars, about how much can the company expect in sales if it spends $250 in advertising?
a. $250
b. $655
c. $525
d. $130

Explanation:

Step1: Substitute the value of \(x\) into the equation

Given the linear regression line \(y = 2.1x+130\) and \(x = 250\).
Substitute \(x = 250\) into the equation: \(y=2.1\times250 + 130\).

Step2: Calculate the value of \(y\)

First, calculate \(2.1\times250\): \(2.1\times250=(2 + 0.1)\times250=2\times250+0.1\times250 = 500+25=525\).
Then, add \(130\) to the result: \(y = 525+130\).
\(y=655\).

Answer:

B. \(\$655\)