Study on People’s Memory Using Pearson Correlation Coefficient

Question

A researcher ran a study to determine the relationship between how good a person thinks their memory is and how well they actually do on a memory task. They were asked to score their memory (where 1 = very poor and 10 = excellent). Their actual memory was tested by showing them a video of a minor traffic crash and asking them a series of ten questions.
 
Participant    Score on Test    Self-Rating       
A                           5                      3       
B                           6                      4       
C                           4                      5       
D                           8                      8       
E                           7                      9       
F                           9                    10       
G                          6                      7       
H                          8                      7       
I                           6                      5       
J                           7                      6    
        
a) What is the Pearson correlation coefficient for the variables ‘Score on Test’ and ‘Self-Rating’?
b) Is the correlation significant at the 95% confidence level? Yes or No. Why?
c) Describe the strength of the correlation.
d) Is the ranked correlation coefficient for the variables ‘Score on Test’ and ‘Self-Rating’ different than what you found in a)? If yes, what is it? If no, explain why not.

Summary

This question belongs to Statistics and it is about a study of people’s memory of self rating and actual test. Pearson correlation coefficient has been used here to explain the score on test and self rating.

Total Word Count 149