Question

A researcher surveyed 12 men who lost their fathers earlier in their lives.  His survey included the age of the subjects when their fathers died and their confidence that they would someday be happily married themselves (100 point scale – higher score = more confidence).  The results are shown below.

Mx=15 My =60

SSx=348 SSy=5198

SPxy=933

Age	Confidence Rating
12	34
8	30
11	89
21	69
15	55
7	38
18	78
23	66
22	89
19	79
9	35
15	58

Based on the correlation coefficient, what kind of relationship is there between the two variables?

Group of answer choices:

Negative relationship

Positive relationship

Cause and effect relationship

No relationship

Answer 1

Solution:

Given:  A researcher surveyed 12 men who lost their fathers earlier in their lives.  His survey included the age of the subjects when their fathers died and their confidence that they would someday be happily married themselves.

The results are shown below.

M_x=15 M_y =60

SS_x=348

SS_y=5198

SP_xy=933

We have to find the correlation coefficient.

Based on the correlation coefficient, what kind of relationship is there between the two variables?

Since r = 0.6937 is positive, there is Positive relationship between the two variables age of the subjects when their fathers died and their confidence that they would someday be happily married themselves.

Thus correct answer is: Positive relationship