SUPERIOR AIM COLLEGE (Regd)
Business Statistics & Mathematics
Total Time: 1:40 mints Total marks: 60 Passing Marks: 45
Attempt any three questions but question No.2 is compulsory.
Q.No.1
(a) What is CPI. Write down the steps in the construction of CPI? (10)
(b) An inquiry into the budgets of the middle class families is a city in Pakistan gave
the following information: (10)
Food Rent Cloting Fule Mics
Expanses on
35% 15% 20% 10% 20%
Prices (1928) 150 30 75 25 40
Prices (1929) 145 30 65 23 45
Calculate the proper index number for 1929 to the date using Family Budget
Method.
Q.2 Write a note on:
1. Scatter Diagram 2.Method of moving average 3.Regression 4.Seasunal
variation (20)
Q.No. 3
What is Method of Least Square?
The following are the quarterly index numbers of whole sale prices. (5+15)
Years 1928 1929 1930 1931 1932
Quarterly Index 125 114 99 80 80
Fit a liner trend to these data and find trend value (Y). Take the deviations of the
observed values (Y) from the trend values (Y) and verify that ∑(Y - Ŷ) = 0
Q.No. 4
(a) Define correlation coefficient. Define Time Series. (6+14)
(b)
X 1 2 3 4 5 6 7 8 9
Y 10 15 20 27 31 35 30 35 40
a) Compute the correlation co-efficient between X and Y.
b) Obtain the equation of regression lines.
c) Obtain an estimate of Y when X = 6.2
Good Luck