Question

for a week, aubrey recorded the number of words in each short story submission, x, and how long it took her to review that story (in minutes), y. the least squares regression line of this data set is: y = 0.006x + 17.387. how long does this line predict it would take aubrey to review a 4,484 - word story? round your answer to the nearest thousandth. minutes

Explanation:

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

Given the regression equation \(y = 0.006x+17.387\) and \(x = 4484\).
Substitute \(x = 4484\) into the equation: \(y=0.006\times4484 + 17.387\).

Step2: Calculate the first - term

Calculate \(0.006\times4484\).
\(0.006\times4484=(6\times4484)\div1000=(26904)\div1000 = 26.904\).

Step3: Calculate the value of \(y\)

Now find \(y\): \(y=26.904 + 17.387\).
\(y=44.291\).

Answer:

\(44.291\)