Question

a regression analysis was performed to determine if there is a relationship between hours of tv watched per day ($x$) and number of sit - ups a person can do ($y$). the results of the regression were: $y = ax + b$, $a=-0.998$, $b = 38.446$, $r^{2}=0.731025$, $r=-0.855$. use this to predict the number of sit - ups a person who watches 1.5 hours of tv can do, and please round your answer to a whole number.

Explanation:

Step1: Identify the regression equation

The regression equation is $y = ax + b$, where $a=- 0.998$ and $b = 38.446$.

Step2: Substitute the value of $x$

We are given $x = 1.5$. Substitute it into the equation: $y=-0.998\times1.5 + 38.446$.

Step3: Calculate the value of $y$

First, calculate $-0.998\times1.5=-1.497$. Then, $y=-1.497 + 38.446=36.949$.

Step4: Round the result

Rounding $36.949$ to a whole - number gives $37$.

Answer:

$37$