Estimate Std. Error t value Pr(>|t|) (Intercept) beers -0.0127 0.0126 -1.00 0.3320 0.0180 0.0024 7.48 0.0000 Cans of beer BAC (grams / deciliter) 0.05 0.10 0.15
Estimate Std. Error t value Pr(>|t|) (Intercept) beers -0.0127 0.0126 -1.00 0.3320 0.0180 0.0024 7.48 0.0000 Cans of beer BAC (grams / deciliter) 0.05 0.10 0.15
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
Transcribed Image Text:6.24 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. 30 The
scatterplot and regression table summarize the findings.
Estimate
Std. Error
t value
Pr(>lt)
(Intercept)
-0.0127
0.0126
-1.00
0.3320
beers
0.0180
0.0024
7.48
0.0000
2
4
6.
8.
Cans of beer
(a) Describe the relationship between the number of cans of beer and BAC.
(b) Write the equation of the regression line. Interpret the slope and intercept in context.
(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.
(d) The correlation coefficient for number of cans of beer and BAC is 0.89. Calculate R2 and interpret it in
context.
(e) Suppose we visit a bar, ask people how many drinks they have had, and also take their BAC. Do
the relationship between number of drinks and BAC would be as strong as the relationship found in the
Ohio State study?
you
think
BAC (grams / deciliter)
0.05
0.10
0.15
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