Q. 3 With the following data of 6 cities, calculate the coefficient of correlation by Pearson's method between the density of population (Population per unit area) and the death rate (No. of deaths / population). Also discuss its significance. Cities A B C D E F Area in square miles Population (in '000) 150 180 100 60 120 80 O. 4 The heights of father and 30 90 40 42 72 24 No. of deaths 300 1440 560 840 1224 312
Q. 3 With the following data of 6 cities, calculate the coefficient of correlation by Pearson's method between the density of population (Population per unit area) and the death rate (No. of deaths / population). Also discuss its significance. Cities A B C D E F Area in square miles Population (in '000) 150 180 100 60 120 80 O. 4 The heights of father and 30 90 40 42 72 24 No. of deaths 300 1440 560 840 1224 312
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![Gmail
YouTube
Maps
Dell
LScB7holklXcY9YMZ5WaLo6hxj4BkDRhiU7-UmtchWwzYKxyPw/formResponse
Q. 3 With the following data of 6 cities, calculate the coefficient of correlation by Pearson's
method between the density of population (Population per unit area) and the death rate (No.
of deaths / population). Also discuss its significance.
Cities
A
Area in square miles
150
Population (in '000)
30
No. of deaths
300
1440
B
180
90
C
100
40
560
D
60
42
840
E
120
72
1224
80
24
312
Q. 4 The heights of fathers and sons is given in the following table. Find the two lines of
regression and estimate the expected average height of the son when the height of the
father is 67. 5 inches.
Height of father (in inches) 65 66 67
Height of son (in inches)
67 68 64
67
68
68 69 71 73
72 70 69 70
Q. 5 Time taken by the crew, of a company, to construct a small bridge is a normal variate with
mean 400 labour hours and a standard deviation of 100 labour hours.
(i) What is the probability that the bridge gets constructed between 350 to 450 labour
hours?
(ii) If the company promises to construct the bridge in 450 hours or less and agrees to pay
a penalty of Rs 100 for each labour hour spent in excess of 450, what is the probability
that the company pays a penalty of at least Rs 2000/-
O](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52483fc2-dcd5-499f-a058-09fc42a9084a%2F3589321a-4b0b-4d6f-9890-7eb50624373f%2F179ifjq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Gmail
YouTube
Maps
Dell
LScB7holklXcY9YMZ5WaLo6hxj4BkDRhiU7-UmtchWwzYKxyPw/formResponse
Q. 3 With the following data of 6 cities, calculate the coefficient of correlation by Pearson's
method between the density of population (Population per unit area) and the death rate (No.
of deaths / population). Also discuss its significance.
Cities
A
Area in square miles
150
Population (in '000)
30
No. of deaths
300
1440
B
180
90
C
100
40
560
D
60
42
840
E
120
72
1224
80
24
312
Q. 4 The heights of fathers and sons is given in the following table. Find the two lines of
regression and estimate the expected average height of the son when the height of the
father is 67. 5 inches.
Height of father (in inches) 65 66 67
Height of son (in inches)
67 68 64
67
68
68 69 71 73
72 70 69 70
Q. 5 Time taken by the crew, of a company, to construct a small bridge is a normal variate with
mean 400 labour hours and a standard deviation of 100 labour hours.
(i) What is the probability that the bridge gets constructed between 350 to 450 labour
hours?
(ii) If the company promises to construct the bridge in 450 hours or less and agrees to pay
a penalty of Rs 100 for each labour hour spent in excess of 450, what is the probability
that the company pays a penalty of at least Rs 2000/-
O
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