22CEBS401 –
PROBABILITY AND STATISTICS FOR CIVIL ENGINEERING
ASSIGNMENT- IV
PART A
1.
What is
correlation co-efficient?
2.
What do you
mean by regression analysis?
3.
Define
correlation coefficient.
4.
Where is
regression analysis used?
PART B
1.
Enumerate the
various methods for determining Correlation.
2.
Write a note on
Regression equation.
3.
List out
properties of Correlation coefficient.
4.
How do you
calibrate the multiple linear models?
PART C
1.
a)
There are 2
stocks – A and B. Their share prices on days were as follows:
Stock A (x):
45,50,53,58,60
Stock B (y): 9, 8, 8, 7, 5
Find out the Pearson
correlation coefficient from the above data.
b)
Find the best
values of a and b so that
(a) Y = a + bX fits the data given below:
(b) X: 1, 2, 3, 4, 5
(c) Y: 14, 27, 40, 55, 68
2.
Given Data:
Hours Studied (X) : 2, 3,
4, 5,
6
Exam Score
(Y) : 65,70,75,80,85
Calculate the
following:
a)
Mean of X and Y
b)
Deviations from
mean for X, Y
c)
Product of
deviations
d)
Sum of the
products of Deviations
e)
Sum of Squares
f)
Square Roots of
the Sum of Squares
g)
Correlation
Coefficient (r)
h)
Confirm whether
it is a perfect correlation or not?
3.
a)
Obtain the
equations of the regression lines using the method of least squares from the
following data.
X: 22, 26, 29, 30, 31, 31 ,34, 35
Y: 20, 20, 21, 29, 27, 24, 27, 31
b)
Find the
coefficient of correlation between X and Y. Also estimate the value of
i)
Y when X = 38
and
ii)
X when Y = 18
4.
a)
What is the
difference between simple and multiple regression?
b)
Evaluate the
multiple regression equation for following dataset
Y X1
X2
140 60 22
155
62 25
159
67 24
179
70 20
192
71 15
200
72 14
212
75 14
215 78 11
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