Monday, September 21, 2015

Dibrugarh University Question Paper: Business Statistics (Nov' 2014)

2014 (November)
COMMERCE
(General / Speciality)
(Business Statistics)

Course: 303
Full Marks: 80
Pass Marks: 32
Time: 3 hours

The figures in the margin indicate full marks for the questions.
                                                                                                       
1.    Answer any five questions:                                                                           2x5=10

a)      Prove that the correlation coefficient is the geometric mean of the two regression coefficients
b)      State the limitations of Laspeyres’ formula for the construction of index numbers.
c)       Calculate AM and HM of 2, 4 and 8.
d)      Write the two models used for the study of time series.
e)      “The correlation coefficient between two variables X and Y is r and r2 =0.65,” What can be concluded from this statement?
f)       What do you mean by business forecasting?
g)      What is the difference between Karl Pearson’s coefficient of correlation and Spearman’s coefficient of correlation?

h)      Define price index number and quantity index number.

2.    (a)  (i) which measures of dispersion is regarded as the best and why?                                    3
(ii) The AM of the following distribution is 1.46, find the missing frequencies:                       4
No. of Students :
0
1
2
3
4
5
Total
No. of Days :
46
25
10
5
200

(iii) Calculate the standard deviation for the following data:                                                  7
Wages in (Rs.)
No. of Men
O and above
20 and above
40 and above
60 and above
80 and above
100 and above
50
45
34
16
6
0

Or







2.    (b)  (i) For any two values, prove that AM>GM>HM                                3
(ii) The mean, median and mode of a group of 25 observations are 143, 144 and 147. A set of 6 observations is added to this data with values132, 125,130,160,165 and 157. Find the mean and median for the combined group of 31 observations.                    4
(iii) Calculate AM and SD for the following Data:                 7
Midpoint :
15
20
25
30
35
40
45
50
55
Frequency :
2
22
19
14
3
4
6
1
1

3.    (a)  (i) Define Karl Pearson’s Coefficient of correlation.          3
(ii) Discuss the uses of regression analysis.           4
(iii) From the following data, find the two regression lines:           7
Mean for X=90, Mean for Y=70, N=10, Sum of X square = 6360, Sum of Y square = 2860, Sum of Product of X and Y = 3900.
Or

(b)  (i) The correlation coefficient of two variables X and Y is r = 0.60, variance of X and Y are respectively 2.25and 4.00; Mean for X =10, Mean for Y=20. From the above data, find the regression equation of X on Y.            3
(ii) Calculate Spearman’s rank correlation coefficient from the data given below:                       4
X :
11
12
13
14
18
15
Y :
13
12
15
14
16
11

(iii) Find the value of the coefficient of correlation from the data given below:                            7
Income :
46
54
56
56
58
60
62
Expenditure :
36
40
44
54
42
58
54

4.    (a)  (i) Write the differences between chain base index and fixed base index.                    3
(ii) Prove that Fisher’s index number satisfies time reversal test.                                       4
(iii) Find the quantity index number from the following data using Paasche’s and Laspeyres index:
Items
Base year
Current year
Price (in Rs.)
Quantity
Price (in Rs.)
Quantity
A
B
C
4
6
8
10
15
15
6
4
10
15
20
4

Or
(b)  (i) What is cost of living index? How does it help in policy formulation by the Government?      3
(ii) Why Fisher’s index number is regarded as an ideal index number?                    4
(iii) From the following data, prove that Fisher’s Index number satisfies (1) time reversal test and (2) factor reversal test:                       7
Items
Q0
Q1
P0
P1
A
B
C
D
E
4
5
2
1
3
20
15
30
50
25
6
6
3
1
5
18
12
30
60
28
                       
5.    (a)  (i) Discuss the uses of studying time series.         3
(ii) What is trend in a time series? State the factors responsible for trend in a time series.                     4
(iii) Calculate trend values by using the method of least squares from the data given below:        7
Year :
2001
2002
2003
2004
2005
2006
Values :
101
107
113
121
136
148

(b)  (i) The trend equation for publicity cost (Rs. In’ 000) of a company is YC =20.2 – 0.8t. Origin 2001 (1st July), t unit = 1 year, Y unit = yearly cost. Shift the origin to 2010.                              3
(ii) Calculate 3 yearly moving averages from the following data:                 4
Year :
1
2
3
4
5
6
7
8
9
10
Profit: (in Rs.)
20
21
23
22
25
24
27
26
28
30

(iii) Fit a straight line trend to the following data and estimate the profit for the year 2010:         7
Year:
2001
2002
2003
2004
2005
2006
2007
Profit: (‘000 Rs.)
60
72
75
65
80
85
90

6.    (a)  (i) Discuss about demand forecasting.                    5
(ii) Discuss the limitations of business forecasting.            9
Or
(b)  (i) Discuss the factors of a good forecasting.        5
(ii) Discuss the steps for forecasting.                       9

Labels

Absorption Costing (1) Accountancy (4) accounting for partnership firms (3) Accounting for Share Capital (3) accounts of non trading concern (3) advanced financial accounting (14) AHSEC (108) ahsec 11 (47) ahsec 12 (60) ahsec notes (104) AHSEC Question Papers (33) Assam Slet (10) bcfm (11) bills of exchange (6) branch accounting (3) Budgetary Control (3) Budgetary Control Notes (2) business communication (28) Business Environment Notes (12) business regulatory framewrok (49) Business Statistics Notes (25) cash flow statement (5) cbse 12 (19) cbse notes (27) commerce (13) company law (23) corporate accounting (33) corporate laws (14) cost accounting (63) cost and management accounting (34) cpt (36) cpt 200 (7) cpt notes (30) dibrugarh university (1113) dibrugarh university notes (597) dibrugarh university question paper (454) dibrugarh university solved papers (225) dibrugarh university syllabus (47) direct tax law (49) eco - 01 (4) ECO - 02 (2) ECO - 03 (2) ECO - 05 (6) ECO - 06 (1) ECO - 07 (1) eco - 08 (4) eco - 09 (1) ECO - 10 (2) ECO - 11 (3) ECO - 12 (7) ECO - 13 (2) ECO - 14 (4) entrepreneurship (14) fianancial accounting (3) financial accounting (48) Financial Accounting Notes (15) financial management (18) Financial statements analysis (14) funds flow statement (3) guwahati university (289) guwahati university syllabus (52) Hire Purchase (5) Human Resource Management (11) icwai (38) icwai notes (39) ignou solved assignments (83) ignou solved question papers (121) income from house property (5) income from salary (4) Income Under the head Salaries (11) information technology (10) Installment Purchase (4) issue of shares (4) kkhsou (13) M.com (62) Management Accounting Notes (31) MCQ (11) paper I (1) paper II (9) paper III (1) principle of business mangement (16) Principles of Marketing Notes (16) royalty accounts (3) sale of goods act (8) semester I (151) Semester II (154) semester III (81) semester IV (149) semester V (111) semester VI (91) slet (13) Slet Ne (10) Small Business Management (7) solved assignments (22) UGC - NET: Commerce (08) (14) UGC - NET: Commerce (08) Paper II (3) UGC - NET: Commerce (08) Paper III (14) ugcnet solved question papers (23) Variance Analysis Notes (1)