Beer and Blood Alcohol Content The relationship between number of beers consumed (x) and blood alcohol content ( y ) was studied in 25 male college students by using simple linear regression. The estimated blood alcohol content ( ? ) is given in the following regression equation: ? = -0.0127 + 0.0180x The above equation estimates that: a. on average it takes 0.0180 beers to increase blood alcohol content by 0.0127 b. on average each beer consumed increases blood alcohol content by 0.0153 c. each beer consumed increases blood alcohol content by 0.0127 d. on average each beer consumed increases blood alcohol content by 0.0180 e. on average each beer consumed increases blood alcohol content by 0.0307
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The given regression equation is y = -0.0127 + 0.0180x. In this equation, y represents the estimated blood alcohol content, and x represents the number of beers consumed. The coefficient of x (0.0180) indicates how much y changes for a one-unit change in x. The Show more…
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The relationship between number of beers consumed (x) and blood alcohol content (y) was studied in 16 male college students by using least squares regression. The following regression equation was obtained from this study: y predicted value => y hat = -0.0127 + 0.0180x on average it takes 1.8 beers to increase blood alcohol content by 1% each beer consumed increases blood alcohol by an average of amount of 1.8% each beer consumed increases blood alcohol by exactly 0.018 each beer consumed increases blood alcohol by 1.27%
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The relationship between the number of beers consumed (x) and blood alcohol content (Y) was studied in 16 male college students by using least squares regression. The following regression equation was obtained from this study: Blood alcohol content = 1.27 + 1.80 (# of beers consumed) + ε. The goodness of fit given by the adjusted R2 = 0.879. Adjusted R2 measures the goodness of fit of the model. R2 = 0.879 suggests that 87.9% of the variation in blood alcohol content (Y) is explained by the number of beers consumed.
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