Question

a linear regression was run to determine a function where the number of sit - ups a person can do depends on the hours of tv watched per day. the results of the regression are given below the table of data. use the model to predict the number of sit - ups a person who watches 12 hours of tv can do. round answer to the nearest whole number.
a person who watches 12 hours of tv can do
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Explanation:

Step1: Substitute \(x = 12\) into the regression equation

The regression equation is \(y=-1.389x + 32.724\). Substitute \(x = 12\) into it:
\(y=-1.389\times12+32.724\)

Step2: Calculate the value of \(y\)

First, calculate \(-1.389\times12=-16.668\). Then, \(y=-16.668 + 32.724\).
\(y = 16.056\)

Step3: Round the result

Round \(16.056\) to the nearest whole number. Since \(0.056\lt0.5\), we round down.

Answer:

\(16\)