For decades, researchers at The Ohio State University have been analyzing data on students’ drinking habits to help students’ decision making abilities and to help recognize problematic behaviors. In one experiment conducted by researchers at Ohio State, 16 students were randomly assigned to drink a number of beers between 1 and 9, and their BAC (blood alcohol concentration, mg/dL) was measured 30 minutes after their final beer. Suppose the researchers want to examine the linear relationship between number of beers (x) and BAC (y, measured in mg/dL). A:

The correlation between number of beers and BAC is 0.894. What is the critical value for the testing if the correlation is significant at α=.05? Is the correlation significant? (yes or no)

B:

A linear model was fit to the data, and the slope of the regression equation is 0.01796, and the y-intercept of the regression line is -0.01270. Which is the equation of the line that predicts BAC from number of beers consumed?

C:

For each number of beers, use the regression equation to predict the carbon dioxide emission amount.

Type either a numerical value or not appropriate. Do not round the answer. Units are already written next to the box, so do not include units in the box.

12 beers: mg/dL

4 beers: mg/dL

1.5 beers: mg/dL