Suppose that a regression equation for the relationship between y = weight (pounds) and x = height (inches) for men aged 18 to 29 years old is expressed with the following formula. Average weight = −250 + 6(Height) (a) Estimate the average weight for men in this age group who are 70 inches tall. lbs (b) What is the slope of the regression line for average weight and height? Complete a sentence that interprets this slope in terms of how much average weight changes when height is increased by one inch. Average weight increases pounds for each 1-inch increase in height.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
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Suppose that a regression equation for the relationship between y = weight (pounds) and x = height (inches) for men aged 18 to 29 years old is expressed with the following formula.
Average weight = −250 + 6(Height)
(a) Estimate the average weight for men in this age group who are 70 inches tall.
lbs
(b) What is the slope of the regression line for average weight and height? Complete a sentence that interprets this slope in terms of how much average weight changes when height is
increased by one inch.
Average weight increases
pounds for each 1-inch increase in height.
Transcribed Image Text:Suppose that a regression equation for the relationship between y = weight (pounds) and x = height (inches) for men aged 18 to 29 years old is expressed with the following formula. Average weight = −250 + 6(Height) (a) Estimate the average weight for men in this age group who are 70 inches tall. lbs (b) What is the slope of the regression line for average weight and height? Complete a sentence that interprets this slope in terms of how much average weight changes when height is increased by one inch. Average weight increases pounds for each 1-inch increase in height.
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