Question

read the following description of a data - set. austen is indignant that his favorite author takes too long to write new books. to determine how atypical his favorite authors speed is, austen looked at how writing speed varies between different active authors. for his favorite novelists, he recorded the number of years they had been actively writing, x, and how many novels they had written, y. the least squares regression line of this data set is: y = 0.388x - 3.279. how many novels does this line predict for an author who had been active for 22 years? round your answer to the nearest integer.

Explanation:

Step1: Identify the regression - line equation and value of x

The regression line is $y = 0.388x-3.279$, and $x = 22$.

Step2: Substitute x into the equation

Substitute $x = 22$ into $y = 0.388x - 3.279$. So, $y=0.388\times22-3.279$.

Step3: Calculate the value of y

First, calculate $0.388\times22 = 8.536$. Then, $y=8.536 - 3.279=5.257$.

Step4: Round the result

Round $5.257$ to the nearest integer. Since the decimal part $0.257\lt0.5$, we get $y\approx5$.

Answer:

5