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
icon
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
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
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman