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=-1.191, b=24.763, r²=0.583696, r=-0.764. use this to predict the number of situps a person who watches 1 hours of tv can do (to one decimal place)

Explanation:

Step1: Identify the regression equation

The regression equation is given as \( y = ax + b \), where \( a = -1.191 \) and \( b = 24.763 \).

Step2: Substitute \( x = 1 \) into the equation

We need to find the number of situps when \( x = 1 \) (1 hour of TV watched). Substitute \( x = 1 \) into \( y = ax + b \):
\( y = (-1.191)(1) + 24.763 \)

Step3: Calculate the value of \( y \)

First, calculate \( (-1.191)(1) = -1.191 \). Then add \( 24.763 \):
\( y = -1.191 + 24.763 = 23.572 \)

Step4: Round to one decimal place

Rounding \( 23.572 \) to one decimal place gives \( 23.6 \).

Answer:

23.6