Question

from his data, donald found the number of pieces in each model, x, and how many minutes each took to assemble, y. the least squares regression line of this data set is: y = 0.118x + 25.319 how many minutes does this line predict a model with 251 pieces would take to assemble? round your answer to the nearest thousandth. minutes

Explanation:

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

Given the regression equation \(y = 0.118x+25.319\) and \(x = 251\).
Substitute \(x = 251\) into the equation: \(y=0.118\times251 + 25.319\).

Step2: Calculate the product

First, calculate \(0.118\times251\).
\(0.118\times251=(0.1 + 0.01+0.008)\times251=0.1\times251+0.01\times251 + 0.008\times251=25.1+2.51+2.008 = 29.618\).

Step3: Calculate the sum

Then, calculate \(y=29.618+25.319\).
\(y=29.618 + 25.319=54.937\).

Answer:

\(54.937\)