Question

read the following description of a data set.
the president of a book club is concerned about the low attendance at the clubs most recent book discussion. he wonders whether the considerable length of the book is to blame.
for each of the last few books that club members chose, the president notes the number of pages, x, as well as the number of people who attended the discussion, y.
the least squares regression line of this data set is: y = -0.029x + 25.763
how many people does this line predict will attend the discussion on a book that is 509 pages long?
round your answer to the nearest integer.
people

Explanation:

Step1: Identify the regression - line formula

The regression line is $y=-0.029x + 25.763$.

Step2: Substitute the value of $x$

Substitute $x = 509$ into the formula: $y=-0.029\times509+25.763$.

Step3: Calculate the value of $y$

First, calculate $-0.029\times509=-14.761$. Then, $y=-14.761 + 25.763=11.002$.

Step4: Round the result

Round $11.002$ to the nearest integer, which is $11$.

Answer:

$11$