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7.36 Beer and blood alcohol content: Many people believe that gender, weight, drinking habits, and many other factors are much more important in predicting blood alcohol content (BAC) than simply considering the number of drinks a person consumed. Here we examine data from sixteen student volunteers at Ohio State University who each drank a randomly assigned number of cans of beer. These students were evenly divided between men and women, and they differed in weight and drinking habits. Thirty minutes later, a police officer measured their blood alcohol content (BAC) in grams of alcohol per deciliter of blood (Malkevitc and Lesser, 2008). The scatterplot and regression table summarize the ofindings. BAC (grams per deciliter) 0.15- 0.10- 0.05- 0 2 (Intercept) beers 0 + 0 0 0 Estimate -0.0127 0.0180 0 0 0 0 0 0 4 6 Cans of beer Std. Error t value 0.0126 -1.00 0.0024 0 -∞ 8 p-value 0.3320 7.48 0.0000 (a) Describe the relationship between the number of cans of beer (x) and BAC (y). O weak, negative O moderate/strong, positive O weak, positive O moderate/strong, negative (b) Write the equation of the regression line. Interpret the slope and intercept in context. The equation of the regression line is (please do not round): ŷ 0 x The interpretation of the slope is: O For each additional can of beer, BAC is expected to increase by about .018 O For each additional can of beer, BAC is expected to decrease by about .0127 For each additional can of beer, BAC is expected to increase by about .0127 O For each additional can of beer, BAC is expected to decrease by about .018

7.36 Beer and blood alcohol content: Many people believe that gender, weight, drinking habits, and many other factors are much more important in predicting blood alcohol content (BAC) than simply considering the number of drinks a person consumed. Here we examine data from sixteen student volunteers at Ohio State University who each drank a randomly assigned number of cans of beer. These students were evenly divided between men and women, and they differed in weight and drinking habits. Thirty minutes later, a police officer measured their blood alcohol content (BAC) in grams of alcohol per deciliter of blood (Malkevitc and Lesser, 2008). The scatterplot and regression table summarize the ofindings. BAC (grams per deciliter) 0.15- 0.10- 0.05- 0 2 (Intercept) beers 0 + 0 0 0 Estimate -0.0127 0.0180 0 0 0 0 0 0 4 6 Cans of beer Std. Error t value 0.0126 -1.00 0.0024 0 -∞ 8 p-value 0.3320 7.48 0.0000 (a) Describe the relationship between the number of cans of beer (x) and BAC (y). O weak, negative O moderate/strong, positive O weak, positive O moderate/strong, negative (b) Write the equation of the regression line. Interpret the slope and intercept in context. The equation of the regression line is (please do not round): ŷ 0 x The interpretation of the slope is: O For each additional can of beer, BAC is expected to increase by about .018 O For each additional can of beer, BAC is expected to decrease by about .0127 For each additional can of beer, BAC is expected to increase by about .0127 O For each additional can of beer, BAC is expected to decrease by about .018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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(c) Do the data provide strong evidence that drinking more cans of beer is associated with an increase in blood alcohol? State the null and alternative hypotheses, report the p-value, and state your conclusion. The hypotheses are: Ho: Number of cans of beer drank is not a significant predictor of BAC Ha: Number of cans of beer drank is a significant predictor of BAC O Ho: Number of cans of beer drank is a significant predictor of BAC Ha: Number of cans of beer drank is not a significant predictor of BAC Ho: The more beer drank, the higher someone's BAC Ha: The more cans of beer drank, the lower the BAC The p-value for the test is: p≈ The result of this hypothesis test is: the more cans of beer you drink, the higher your BAC O number of cans of beer drank is not a significant predictor of BAC O number of cans of beer drank is a significant predictor of BAC
Transcribed Image Text:(c) Do the data provide strong evidence that drinking more cans of beer is associated with an increase in blood alcohol? State the null and alternative hypotheses, report the p-value, and state your conclusion. The hypotheses are: Ho: Number of cans of beer drank is not a significant predictor of BAC Ha: Number of cans of beer drank is a significant predictor of BAC O Ho: Number of cans of beer drank is a significant predictor of BAC Ha: Number of cans of beer drank is not a significant predictor of BAC Ho: The more beer drank, the higher someone's BAC Ha: The more cans of beer drank, the lower the BAC The p-value for the test is: p≈ The result of this hypothesis test is: the more cans of beer you drink, the higher your BAC O number of cans of beer drank is not a significant predictor of BAC O number of cans of beer drank is a significant predictor of BAC
7.36 Beer and blood alcohol content: Many people believe that gender, weight, drinking habits, and many other factors are much more important in predicting blood alcohol content (BAC) than simply considering the number of drinks a person consumed. Here we examine data from sixteen student volunteers at Ohio State University who each drank a randomly assigned number of cans of beer. These students were evenly divided between men and women, and they differed in weight and drinking habits. Thirty minutes later, a police officer measured their blood alcohol content (BAC) in grams of alcohol per deciliter of blood (Malkevitc and Lesser, 2008). The scatterplot and regression table summarize the ofindings. BAC (grams per deciliter) 0.15- 0.10- 0.05- 0 2 (Intercept) beers 0 0 0 0 Estimate -0.0127 0.0180 0 0 0 D 0 6 Cans of beer 8 0 -00 8 Std. Error t value 0.0126 -1.00 0.0024 7.48 0.0000 p-value 0.3320 (a) Describe the relationship between the number of cans of beer (x) and BAC (y). weak,negative O moderate/strong, positive weak, positive moderate/strong, negative 0 (b) Write the equation of the regression line. Interpret the slope and intercept in context. The equation of the regression line is (please do not round): ŷ + x The interpretation of the slope is: O For each additional can of beer, BAC is expected to increase by about .018 O For each additional can of beer, BAC is expected to decrease by about .0127 O For each additional can of beer, BAC is expected to increase by about .0127 For each additional can of beer, BAC is expected to decrease by about .018
Transcribed Image Text:7.36 Beer and blood alcohol content: Many people believe that gender, weight, drinking habits, and many other factors are much more important in predicting blood alcohol content (BAC) than simply considering the number of drinks a person consumed. Here we examine data from sixteen student volunteers at Ohio State University who each drank a randomly assigned number of cans of beer. These students were evenly divided between men and women, and they differed in weight and drinking habits. Thirty minutes later, a police officer measured their blood alcohol content (BAC) in grams of alcohol per deciliter of blood (Malkevitc and Lesser, 2008). The scatterplot and regression table summarize the ofindings. BAC (grams per deciliter) 0.15- 0.10- 0.05- 0 2 (Intercept) beers 0 0 0 0 Estimate -0.0127 0.0180 0 0 0 D 0 6 Cans of beer 8 0 -00 8 Std. Error t value 0.0126 -1.00 0.0024 7.48 0.0000 p-value 0.3320 (a) Describe the relationship between the number of cans of beer (x) and BAC (y). weak,negative O moderate/strong, positive weak, positive moderate/strong, negative 0 (b) Write the equation of the regression line. Interpret the slope and intercept in context. The equation of the regression line is (please do not round): ŷ + x The interpretation of the slope is: O For each additional can of beer, BAC is expected to increase by about .018 O For each additional can of beer, BAC is expected to decrease by about .0127 O For each additional can of beer, BAC is expected to increase by about .0127 For each additional can of beer, BAC is expected to decrease by about .018
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