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=-0.83 b=22.809 r2=0.972196 r=-0.986 Use this to predict the number of situps a person who watches 5.5 hours of TV can do (to one decimal place)

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Understanding the Relationship Between TV Watching and Number of Sit-ups**

A regression analysis was conducted to determine the relationship between the number of hours of TV watched per day (x) and the number of sit-ups a person can perform (y). Below are the results of the regression analysis:

\- The regression equation: \( y = ax + b \)
\- Slope of the regression line (\(a\)): −0.83
\- Y-intercept of the regression line (\(b\)): 22.809
\- Coefficient of determination (\(r^2\)): 0.972196
\- Correlation coefficient (\(r\)): −0.986

Using these results, we can predict the number of sit-ups a person who watches 5.5 hours of TV can perform:

\[ y = -0.83(5.5) + 22.809 \]

Calculate the value to find the prediction.
Transcribed Image Text:**Understanding the Relationship Between TV Watching and Number of Sit-ups** A regression analysis was conducted to determine the relationship between the number of hours of TV watched per day (x) and the number of sit-ups a person can perform (y). Below are the results of the regression analysis: \- The regression equation: \( y = ax + b \) \- Slope of the regression line (\(a\)): −0.83 \- Y-intercept of the regression line (\(b\)): 22.809 \- Coefficient of determination (\(r^2\)): 0.972196 \- Correlation coefficient (\(r\)): −0.986 Using these results, we can predict the number of sit-ups a person who watches 5.5 hours of TV can perform: \[ y = -0.83(5.5) + 22.809 \] Calculate the value to find the prediction.
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