The Student Government Association at Southwestern State University wanted to demonstrate the relationship between the number of beers a student drinks and their blood alcohol content (BAC). A random sample of 18 students participated in a study in which each participating student was randomly assigned a number of 12-ounce cans of beer to drink. Thirty minutes after consuming their assigned number of beers a member of the local sheriff's office measured their blood alcohol content. The sample information is reported below.
|
Student
|
Beers
|
BAC
|
Student
|
Beers
|
BAC
|
|
1
|
6
|
0.1
|
10
|
3
|
0.07
|
|
2
|
7
|
0.09
|
11
|
3
|
0.05
|
|
3
|
7
|
0.09
|
12
|
7
|
0.08
|
|
4
|
4
|
0.1
|
13
|
1
|
0.04
|
|
5
|
5
|
0.1
|
14
|
4
|
0.07
|
|
6
|
3
|
0.07
|
15
|
2
|
0.06
|
|
7
|
3
|
0.1
|
16
|
7
|
0.12
|
|
8
|
6
|
0.12
|
17
|
2
|
0.05
|
|
9
|
6
|
0.09
|
18
|
1
|
0.02
|
|
|
|
|
|
|
(a) There are two variables in this data: number of beers and BAC. Which variable is the dependent (Y) variable?
(b) Create a scatter diagram for this data. Paste it into this document below.
(c) Refer to the scatter diagram you created. Is the relationship between the variables positive or negative?
(d) Refer to the scatter diagram you created. Is the relationship between the variables weak, moderate, or strong?
(e) Create a table of summary statistics for the data. Paste it into the document below.
(f) What is the correlation coefficient (r)?
(g) What is the coefficient of determination (r2)?
(h) Provide an interpretation for your answer in (g).