Question

An investigator studied the relationship between anxiety and school achievement. The researcher selected a random sample of 15 fifth-grade students, all aged 10 years. Each student was given an anxiety test (high scores indicating high anxiety) and these measures were paired with the student's score on an academic achievement test (high score indicating high achievement). The data are as follows:

Anxiety Score               Achievement Score

10                                2

8                                4

9                                6

7                                5

9                                3

5                                7

4                                8

6                                3

4                                5

9                                3

5                                4

3                                9

2                                8

5                                4

1                                7

Mean= 5.8        Mean=      5.2

S= 2.78              S=     2.18

What percent of the variability was accounted for by the relation of these two variables? What does this statistic mean?

Answer 1