Discussion:
Q1: In order for applicants to work for the state department, they must take a test in the language of the country where they plan to work. The data below shows the relationship between the number of years that applicants have studied a particular language and the grades they received on the proficiency exam.
|
Applicant #
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
|
Years, x
|
4
|
5
|
5
|
6
|
4
|
7
|
3
|
8
|
4
|
|
Grades, y
|
62
|
69
|
76
|
83
|
74
|
91
|
59
|
94
|
73
|
Find the mean years for study for the 9 randomly selected applicants. Show the formula that you will use and then calculate the mean age.
Q2: Interpret the type of correlation by completing the table and calculating the correlation coefficient r rounded to the nearest three decimal places. Interim rounding should be four decimal places.
|
x
|
y
|
xy
|
x2
|
y2
|
|
4
|
62
|
|
|
|
|
5
|
69
|
|
|
|
|
5
|
76
|
|
|
|
|
6
|
83
|
|
|
|
|
4
|
74
|
|
|
|
|
7
|
91
|
|
|
|
|
3
|
59
|
|
|
|
|
8
|
94
|
|
|
|
|
4
|
73
|
|
|
|
|
|
|
|
|
|