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

Can you estimate a confidence rating for a man who lost his father at 30 years old? Why or why not?

Answer 1

Solution:

Given: Following is data of  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.

Mx=15 My =60

SSx=348

SSy=5198

SPxy=933

We have to find an estimate a confidence rating for a man who lost his father at 30 years old.

First we need to find regression of confidence rating on age of the subjects when their fathers died.

where

y = confidence rating

x= age of the subjects when their fathers died

thus

Thus estimate y for x = 30

Highest value of confidence rating  is 100 point scale and we are getting an estimate over 100, which is outside the range of confidence rating values,thus we can not estimate confidence rating for a man who lost his father at 30 years old.