Question

a regression was run to determine if there is a relationship between hours of tv watched per day (x) and number of situps a person can do (y). the results of the regression were: y=ax + b a=-0.681 b=36.984 r=-0.701 r²=0.491401 use this to predict the number of situps a person who watches 11.5 hours of tv can do (to one decimal place). question help: d post to forum

Explanation:

Step1: Identify the regression equation

The regression equation is $y = ax + b$, where $a=- 0.681$ and $b = 36.984$.

Step2: Substitute the value of $x$

We are given $x = 11.5$. Substitute $x = 11.5$ into the equation $y=-0.681x + 36.984$.
$y=-0.681\times11.5+36.984$.

Step3: Calculate the value of $y$

First, calculate $-0.681\times11.5=-7.8315$.
Then, $y=-7.8315 + 36.984$.
$y=29.1525\approx29.2$.

Answer:

$29.2$