Attempt all 1. The following are the monthly figures of advertising expenditure and sales of a firm. It is generally found that advertising expenditure has its impact on sales generally after 2 months. Allowing for this time lag, calculate coefficient of correlation between expenditure on advertisement and sales. Month Adv. Expd. Sales (Rs) Month Adv. Expd. Sales (Rs) January 50 1200 July 140 2400
Attempt all 1. The following are the monthly figures of advertising expenditure and sales of a firm. It is generally found that advertising expenditure has its impact on sales generally after 2 months. Allowing for this time lag, calculate coefficient of correlation between expenditure on advertisement and sales. Month Adv. Expd. Sales (Rs) Month Adv. Expd. Sales (Rs) January 50 1200 July 140 2400
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 11CT
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Question
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Transcribed Image Text:8:02
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Correlation
Attempt all
1. The following are the monthly figures of advertising
expenditure and sales of a firm. It is generally found that
advertising expenditure has its impact on sales generally
after 2 months. Allowing for this time lag, calculate
coefficient of correlation between expenditure on
advertisement and sales.
Month Adv. Expd. Sales (Rs) Month Adv. Expd. Sales (Rs)
January 50
1200
July
140
2400
February 60
1500
August 160
2600
March 70
1600
September 170
2800
April 90
2000
October 190
2900
May 120
2200
November 200
3100
June 150
2500
December 250
3900
Ans. 0.991
2. Calculate the coefficient of correlation between family
income and its percentage spent on food for the
following data:
Family Income Food Expenditure (in percentage)
(In Rs.)
10-15 15-20 20-25 25-30 30-35
12000-13000 2
3
1
4
13000-14000 3 4
2
1
5
14000-15000 4
1
5
12
8
15000-16000 1 2
3
4
16000-17000 5 6
3
1
Ans. -0.0945
3. A psychologist wanted to compare two methods A and B
of teaching. He selected a random sample of 22 students.
He grouped them into 11 pairs so that the students in a
pair have approximately equal scores on an intelligence
test. In each pair one student was taught by method A
and the other by method B and examined after the
course. The marks obtained by them are tabulated below:
Pair 1 2 3 4 5 6 7 8 9 10 11
A
24 29 19 14 30 19 27 30 20 28 11
B
37 35 16 26 23 27 19 20 16 11 21
Find the rank correlation coefficient. (Ans. -0.0295)
4. Find the coefficient of correlation between output and
cost per scooter from the following data:
Output (in 3.54 5.2 6.3 6.8 7.48.59
'000s)
Cost (in
'000 Rs)
12 11.8 11.2 10.6 10.3 9.8 9.39.2
(Ans. -0.996)
5. Find the coefficient of correlation between price and
sales from the following data:
Price
103 98 85 92 90 84 88 90 93 95
(Rs.)
Sales
(Units) 500 610 700 630 670 800 800 750 700 680
Transcribed Image Text:12 11.8 11.2 10.6 10.3 9.8 9.3 9.2
(Ans. -0.996)
5. Find the coefficient of correlation between price and
sales from the following data:
Price
103 98 85 92 90 84 88 90 93 95
(Rs.)
Sales
(Units)
500 610 700 630 670 800 800 750 700 680
Ans. 0.85
6. Calculate the rank correlation coefficient for the
following data of marks of 2 tests given to candidates for
ma clerical job:
Preliminary test: 92 89 87 86 83 77 71 63
53 50
: 86 83 91 77 68 85 52 82
Final Test
37 57
'000 Rs)
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