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Understanding Least Squares Regression: Investigating Nonexercise Activity and Weight Gain

This homework assignment covers the principles of least squares regression, focusing on the relationship between nonexercise activity (NEA) and weight gain. Through an experiment involving 16 healthy young adults over eight weeks, researchers explored how increased caloric intake influenced fat gain. We aim to determine the regression line, interpret its slope and y-intercept, and analyze the correlation between NEA and weight gain. Additionally, we will discuss the concept of interpolation for prediction within the range of the explanatory variable.

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Understanding Least Squares Regression: Investigating Nonexercise Activity and Weight Gain

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Presentation Transcript

  1. Chapter Three Day Three Least Squares Regression

  2. Homework • P. 204 29,30,31,32

  3. Regression line requires one variable be an explanatory variable and the other be a response variable. Correlation makes no distinction

  4. Example • Some people do not gain weight even when they overeat. Perhaps fidgeting and other “nonexercise activity” (NEA) explains why. • Some people may spontaneously increase nonexercise activity when fed more. • Researchers deliberately overfed 16 healthy young adults for 8 weeks. • They measured fat gain (kg) as response to change in NEA (cal)

  5. Data

  6. WHO? WHAT? WHY? WHEN, WHERE, HOW and by WHOM? • Who: • What: • Why: • When, where and by whom:

  7. Give the regression line: Interpret the slope: Interpret the y-intercept: Give and interpret the correlation:

  8. Interpolation is the useof a regression line for prediction inside the range of values of the explanatory variable x used to obtain the line.

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