inmber of cans of beer in a study to determine if there is a linear relationship

Question

inmber of cans of beer in a study to determine if there is a linear relationship between the amount of alcohol consumed and the blood alcohol content (BAC). Use the JMP output provided below to answer the following questions. 15. (22 pts.) Sixteen student volunteers at Ohio state University drank a randomly assigned Blvariate Fit of BACBybeer 02 0.15 SAC 03 Analysis of Variance Sum of 10 DE Squares Mean Square FRatlo 1 0,02337535 0.023375 55.9443 beers ource Linear Fit Linear Fit BAC. 4012701 + 0.0179635", beers Error 14 0.00584965 0.000418 Prob C Total 15 0.02922500 .0001 (4 pts.) Based on the scatterplot, describe the beers and the BAC level. Be sure relationship and whether there are any outliers or influential points. a. relationship between the number of to include the shape, strength, and direction of the b. (4 pts.) Interpret the slope of the regression line in the context of the problem

Explanation / Answer

a)

There is a perfect positive correlation between the BAC level and number of bears. This means that BAC level goes up as the number of bears consumed goes up.

b)

Slope is 0.0179638 which means that for every increase of 1 in bear, BAC level would go up by 0.0179638 keeping all other factors constant.

c)

H0: No linear relationship

H1: The independent variable affects the dependent variable

d)

We should reject the null hypothesis because F > Fcrit. Hence, we conclude that the independent variable affects the dependent variable

e)

Yes we conclude that number of beers consumed is significant in predicting BAC levels

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