Question

A researcher observed the amount of $ given to a panhandler and rated the happiness of the person being asked on a scale from 1-10.

Here are the results:

Happiness Rating = 4 for $0 Given

Happiness Rating = 6 for $1 Given

Happiness Rating = 8 for $3 Given

Happiness Rating = 2 for $0 Given

For Happiness, M = 5, SD = 2.24

For $ Given, M = 1, SD = 1.22

A. What is the correlation coeffecient?

B. Explain your result for part A to someone who's not familiar with correlation coefficient. Make sure you explain the strength & direction of the correlation.

C. What is the predicted Z score on $ given for someone whose happiness is Z = 2?

D. What is the predicted raw score on $ given for someone whose happiness is Z = 2?

Answer 1

A. The correlation coefficient is 0.9129

Let, X:$

Y:Happiness rating

B. There is a positive linear correlation between $ given and happiness rating.

As values of $ increases, the happiness rating increases too. As the value of $ decreases, the happiness rating decreases too.

The direction is positive and has a high value of correlation means the Association between two variables is very strong

Need the interpretation of Z=2,please tell if it is Z score or happiness rating denoted by Z