Question

read the following description of a data set. the bennett toy company is testing the usability of its new spinning top among different age groups. haley, a designer at the company, gave the tops to a group of children of different ages and had each child spin a top once. haley recorded the age of each child, x, and how long he or she got the top to spin (in seconds), y. the least squares regression line of this data set is: y = 73.756x - 226.198. how long does this line predict an 8 - year - old would be able to spin the top? round your answer to the nearest integer. seconds

Explanation:

Step1: Identify the value of x

We are predicting for an 8 - year - old child, so $x = 8$.

Step2: Substitute x into the regression equation

Substitute $x = 8$ into $y=73.756x - 226.198$. Then $y=73.756\times8 - 226.198$.
First, calculate $73.756\times8 = 590.048$.
Then, $y=590.048 - 226.198=363.85$.

Step3: Round to the nearest integer

Rounding $363.85$ to the nearest integer gives $364$.

Answer:

364