In: Statistics and Probability
The relationship between the number of beers consumed in two hours (x) and blood alcohol content (y) was studied in 26 male college students by using least squares regression. The students studied consumed between 1 and 4 beers in the study. The following regression equation was obtained from this study:
yˆ=−0.0127+0.0180xy^=-0.0127+0.0180x
Answer the following (each is equally weighted):
1. Identify the explanatory and response variables.
2. According to the line of best fit, what would be the predicted blood alcohol content after consuming 3 beers in two hours? Round your answer to two decimal places, as needed.
3. Would it be appropriate to use this model to predict the blood alcohol content after seven beers? Why or why not (remember to include appropriate terminology).
PART 1
Definition:
Explanatory Variables are the variables which explains changes in that variable.
Here, x = Number of Beer Consumed in two hours; is the Explanatory Variable.
Response Variables measures outcomes or response due to changes in Explanatory variables.
Here, y = blood alcohol content; is the Response Variable.
PART 2 And PART 3