Ques. 1 From following information find the correlation coefficient between advertisement expenses and sales volume using Karl Pearson's coefficient of correlation method. Firm 1 Advertisement Exp. (Rs. In Lakhs) 11 Sales Volume (Rs. In Lakhs) 2 3 4 5 6 7 8 9 10 13 14 16 16 15 15 14 13 13 55 60 65 65 65 60 60 50 50 50
Ques. 1 From following information find the correlation coefficient between advertisement expenses and sales volume using Karl Pearson's coefficient of correlation method. Firm 1 Advertisement Exp. (Rs. In Lakhs) 11 Sales Volume (Rs. In Lakhs) 2 3 4 5 6 7 8 9 10 13 14 16 16 15 15 14 13 13 55 60 65 65 65 60 60 50 50 50
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Ques. 1
From following information find the correlation coefficient between advertisement
expenses and sales volume using Karl Pearson's coefficient of correlation method.
Firm
1 2 3 4 5 6 7 8 9 10
Advertisement Exp. (Rs. In Lakhs) 11 13 14 16 16 15 15 14 13 13
Sales Volume (Rs. In Lakhs)
50 50 55 60 65 65 65 60 60 50
Ques.2
A computer while calculating the correlation coefficient between the variable X and Y
obtained the following results:
N = 30;
ΣΧ = 120 ΣΧ2 = 600 ΣΥ = 90 EY² =250 EXY=335
It was, however, later discovered at the time of checking that it had copied down two
pairs of observations as:
(X, Y):
(8, 10)
(12,7)
While the correct values were: (X, Y):
(8, 12)
(10,8)
Obtain the correct value of the correlation coefficient between X and Y.
Calculate correlation coefficient from the following two-way table, with X representing
the average salary of families selected at random in a given area and Y representing
the average expenditure on entertainment.
Expenditure on
Average Salary (Rs. '000)
150-200 200-250
Entertainment (Rs. '000) 100-150
250-300
300-350
0-10
5
4
5
2
4
10-20
2
7
3
7
1
20-30
6
5
30-40
8
4
8
.
40-50
7
3
10
Ques.3
5
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