Page 201 - DCOM203_DMGT204_QUANTITATIVE_TECHNIQUES_I

Quantitative Techniques – I

Notes Regression coefficient in bivariate frequency distribution
k N f u v j f u f v j
i i
ij i
j
b
h N f u 2 f u 2
i i i i
Standard Error of the estimate
s 1 r 2 for large n ( i.e., n > 30)
. Y X Y
2 2
Y Y 1 r
i
for small n
n 2
Regression of X on Y

XY nX Y n XY X Y
d
Regression Coefficient 2 2 2 2
Y nY n Y Y
Cov X ,Y
r X
2
Y Y
Change of scale and origin

X A Y B h n uv u v
If u and v , then d
2
h h k n v 2 v

Constant term c X dY
Alternative form of regression equation

.

Regression coefficient in a bivariate frequency distribution

h N f u v j f u f v j
ij i
j
i i
d
k 2 2
f v
N
j
j j f v j
Standard error of the estimate
2
s 1 r for large n ( i.e., n > 30)
X .Y X
2 2
X i X 1 r
for small n
n 2
Relation of r with b and d

b d r Y r X r 2
X Y
or r b d

196 LOVELY PROFESSIONAL UNIVERSITY