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question 17 a regression was run to determine if there is a relationshi…

Question

question 17
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 = mx + b
m = -1.043
b = 36.147
r² = 0.7569
r = -0.87
use this to predict the number of situps a person who watches 1 hours of tv can do (to one decimal place)

Explanation:

Step1: Substitute the values into the regression equation

The regression equation is \(y = mx + b\). Given \(m=-1.043\), \(b = 36.147\) and \(x = 1\).
Substitute into the equation: \(y=-1.043\times1+36.147\)

Step2: Calculate the value of \(y\)

$$ LATEXBLOCK0 $$

Round to one decimal place: \(y\approx35.1\)

Answer:

\(35.1\)