Association between salary and life enjoyment.

Question 3
(18 marks)
Sociologists investigated whether there is an association between salary and life
enjoyment. They administered questionnaires to randomly selected participants who
reported their salary in thousands of dollars (salary) and a battery of questionnaire items
that probe life enjoyment. The life enjoyment items were collapsed into a continuousvalued composite index of life enjoyment (LE). Given their data (see Table 3 below), is
there an association between salary and life enjoyment? If so, how does a change in salary
quantitatively relate to a change in life enjoyment? Include a scatterplot of the data and the
line of best fit.
Table 3. Salary in thousands of dollars (salary) and life enjoyment composite index (LE).
Subject salary LE
1 29 24
2 25 13
3 37 30
4 16 21
5 35 13
6 32 36
7 29 18
8 48 32
9 18 5
10 6 16
11 28 14
12 35 16
13 31 14
14 5 16
15 13 12
16 20 5
17 30 25
18 36 26
19 17 13
20 29 20

Sample Solution

ACED ESSAYS