Question

read the following description of a data set. levi is an aspiring journalist who writes a music blog. in his latest post, he examined how critical acclaim and commercial success were related for recently released albums. to judge critical acclaim, he looked up the albums on a site that combines ratings from multiple critics into a single number from 0 to 100. levi recorded the score, x, and the sales, y, of each album. the least squares regression line of this data set is: y = 3341.537x - 76,447.667 how many sales does this line predict for an album whose score was 84? round your answer to the nearest integer. sales

Explanation:

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

Given the regression line \(y = 3341.537x-76447.667\) and \(x = 84\).
Substitute \(x = 84\) into the equation: \(y=3341.537\times84 - 76447.667\).

Step2: Calculate the product

First, calculate \(3341.537\times84\).
\(3341.537\times84=(3000 + 300+40+1.537)\times84=3000\times84+300\times84 + 40\times84+1.537\times84\)
\(=252000+25200+3360 + 129.108=280689.108\).

Step3: Calculate the value of \(y\)

Then, \(y=280689.108-76447.667\).
\(y = 204241.441\).

Step4: Round to the nearest integer

Rounding \(204241.441\) to the nearest integer gives \(204241\).

Answer:

194232