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What is the correlation coefficient (r) between BAC and number of beers?

What is the correlation coefficient (r) between BAC and number of beers?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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BAC and Beer How much alcohol can one consume before one's Blood Alcohol Content (BAC) is above the legal limit? An undergraduate statistics project was conducted at The Ohio State University in Columbus, Ohio that explored the relationship between BAC and other factors such as amount of alcohol consumed, gender, weight, and age. The experiment took place in February of 1986 at a student dormitory. Sixteen students volunteered to be the subjects in the experiment. Each student blew into a breathalyzer to indicate that his or her initial BAC was zero. The number (between 1 and 9) of 12 ounce beers to be drunk was assigned to each of the subjects by drawing tickets from a bowl. Thirty minutes after consuming their final beer, students had their BAC measured by a police officer of the OSU police department. The officer also administered a road sobriety test before and after the alcohol consumption. This involved performing four simple tasks, graded on a scale of 1 to 10 (ten being a perfect rating), demonstrating coordination: balancing on one foot, touching the tip of one's nose with a forefinger, placing one's head back with one's eyes closed, and walking heel to toe. The police officer was not aware of how much alcohol each subject had consumed. A simple linear regression was conducted to predict BAC and the regression equation and the r- squared are shown in the graph below. Use the results to answer the following questions. BAC vs Number of Beers 0.2 0.18 y = 0.018x- 0.0127 R² = 0.7998 0.16 0.14 0.12 0.1 0.08 0.06 0.04 0.02 8 10 Вeers ВАC
Transcribed Image Text:BAC and Beer How much alcohol can one consume before one's Blood Alcohol Content (BAC) is above the legal limit? An undergraduate statistics project was conducted at The Ohio State University in Columbus, Ohio that explored the relationship between BAC and other factors such as amount of alcohol consumed, gender, weight, and age. The experiment took place in February of 1986 at a student dormitory. Sixteen students volunteered to be the subjects in the experiment. Each student blew into a breathalyzer to indicate that his or her initial BAC was zero. The number (between 1 and 9) of 12 ounce beers to be drunk was assigned to each of the subjects by drawing tickets from a bowl. Thirty minutes after consuming their final beer, students had their BAC measured by a police officer of the OSU police department. The officer also administered a road sobriety test before and after the alcohol consumption. This involved performing four simple tasks, graded on a scale of 1 to 10 (ten being a perfect rating), demonstrating coordination: balancing on one foot, touching the tip of one's nose with a forefinger, placing one's head back with one's eyes closed, and walking heel to toe. The police officer was not aware of how much alcohol each subject had consumed. A simple linear regression was conducted to predict BAC and the regression equation and the r- squared are shown in the graph below. Use the results to answer the following questions. BAC vs Number of Beers 0.2 0.18 y = 0.018x- 0.0127 R² = 0.7998 0.16 0.14 0.12 0.1 0.08 0.06 0.04 0.02 8 10 Вeers ВАC
What is the correlation coefficient (r) between BAC and number of beers? Type your answer...
Transcribed Image Text:What is the correlation coefficient (r) between BAC and number of beers? Type your answer...
Expert Solution
Step 1

The regression equation is y = 0.018x – 0.0127, where y defines the limit of Blood Alcohol Content and x defines the consumption of alcohol consumption.

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