Question

read the following description of a data set. emma wants to ensure that the new board game shes designing is accessible to a wide age range. to test this, she had several children of various ages play the board game against each other. each child played the game the same number of times. for each child, emma recorded his or her age, x, and the number of games that child had won, y. the least squares regression line of this data set is: y = 5.507x - 48.012 how many games does the line predict would have been won by a 14 - year - old? round your answer to the nearest integer.

Explanation:

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

The regression line is $y = 5.507x-48.012$, and $x = 14$.

Step2: Substitute x into the equation

$y=5.507\times14 - 48.012$.
First, calculate $5.507\times14 = 77.098$.
Then, $y=77.098 - 48.012$.
$y = 29.086$.

Step3: Round the result

Rounding $29.086$ to the nearest integer gives $29$.

Answer:

29