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Correlation Analysis

Unit: Quantitative Analysis

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Practice CPA Quantitative Analysis Correlation Analysis questions with detailed answers and explanations.

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December 2025

 1 Questions
Question 2b
​ ​​The number of hours spent studying for an examination by 8 students together with the marks achieved in the examination are given in the table below:

Time (X)23456789
Marks (Y)4038544454587080

Required: 
(i) Draw a scatter diagram to represent the above data. 

(ii) Comment on the nature of the relationship obtained in (b) (i) above. 

(iii) Calculate the regression of Y and X.

(iv) Fit the regression equation obtained in (b) (iii) above on the same axis in the scatter diagram in (b) (i) above.


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November 2020

 1 Questions
Question 2b
​ ​​In a choral music competition, 9 contestants were awarded marks in percentage using a music scoringuid by two assessors. The results obtained were given as shown in the table below: 

    Marks in % by:
Contestant
1ˢᵗ Assessor
2ⁿᵈ Assessor
A
72
76
B
82
80
C
79
78
D
70
73
E
67
70
F
81
85
G
78
69
H
75
83
I
65
68

Required:
(i).  The rank correlation coefficient. Interpret your results.
(ii). Coefficient of determination


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November 2018

 1 Questions
Question 3b
​​Summarise three factors that determine the size of the Pearson product moment correlation coefficient.


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May 2018

 1 Questions
Question 4b
​​An intelligence test was undertaken by ten sales ladies of a certain company.
The table below shows the intelligence test scores in percentages and the mean weekly sales in thousands of shillings made by the salesladies:

Saleslady
1
2
3
4
5
6
7
8
9
10
Intelligence test score (%)
40
70
50
60
80
50
90
40
60
60
Weekly sales (Sh. "000")
50
120
80
100
80
50
110
60
90
60

Required: 
The coefficient of correlation. Interpret your result.
 


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December 2017

 1 Questions
Question 3b
​​Summarise two applications or rank correlation. 


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May 2017

 1 Questions
Question 4b
​ ​​The table below shows marks scored by 8 students in Mathematics and English subjects:

Student: 
1
2
3
4
5
6
7
8
Marks scored in Mathematics:
31
36
44
28
56
76
36
96
Marks scored in English:
56
46
66
46
36
26
46
76

Required:
The rank coefficient of correlation. Interpret your result.


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May 2016

 1 Questions
Question 3c
The table below shows the actual sales and target sales of eight sales agents for the year 2015 in millions of shillings.

Sales agent

Actual sales (y)
Target sales (x) 		1

45
40 		2

41
27 		3

50
45 		4

56
38 		5

60
52 		6

42
35 		7

43
29 		8

52
44

Required:
The Spearman's rank correlation coefficient. Interpret your result.


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