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HSC Commerce: Marketing and Salesmanship इयत्ता १२ वी - Maharashtra State Board Question Bank Solutions

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Solve the following problem :

Fit a trend line to the data in Problem 7 by the method of least squares.

[12] Time Series
Chapter: [12] Time Series
Concept: undefined >> undefined

Solve the following problem :

Obtain trend values for the data in Problem 7 using 4-yearly moving averages.

[12] Time Series
Chapter: [12] Time Series
Concept: undefined >> undefined

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Following data shows the number of boxes of cereal sold in years 1977 to 1984.

Year 1977 1978 1979 1980 1981 1982 1983 1984
No. of boxes in ten thousand 1 0 3 8 10 4 5 8

Fit a trend line to the above data by graphical method.

[12] Time Series
Chapter: [12] Time Series
Concept: undefined >> undefined

Solve the following problem :

Fit a trend line to data by the method of least squares.

Year 1977 1978 1979 1980 1981 1982 1983 1984
Number of boxes (in ten thousands) 1 0 3 8 10 4 5 8
[12] Time Series
Chapter: [12] Time Series
Concept: undefined >> undefined

Solve the following problem :

Obtain trend values for data in Problem 10 using 3-yearly moving averages.

[12] Time Series
Chapter: [12] Time Series
Concept: undefined >> undefined

Solve the following problem :

Following table shows the number of traffic fatalities (in a state) resulting from drunken driving for years 1975 to 1983.

Year 1975 1976 1977 1978 1979 1980 1981 1982 1983
No. of deaths 0 6 3 8 2 9 4 5 10

Fit a trend line to the above data by graphical method.

[12] Time Series
Chapter: [12] Time Series
Concept: undefined >> undefined

Solve the following problem :

Fit a trend line to data in Problem 13 by the method of least squares.

[12] Time Series
Chapter: [12] Time Series
Concept: undefined >> undefined

Solve the following problem :

Obtain trend values for data in Problem 13 using 4-yearly moving averages.

[12] Time Series
Chapter: [12] Time Series
Concept: undefined >> undefined

Solve the following problem :

Following table shows the all India infant mortality rates (per ‘000) for years 1980 to 2010.

Year 1980 1985 1990 1995 2000 2005 2010
IMR 10 7 5 4 3 1 0

Fit a trend line to the above data by graphical method.

[12] Time Series
Chapter: [12] Time Series
Concept: undefined >> undefined

Solve the following problem :

Fit a trend line to data in Problem 16 by the method of least squares.

[12] Time Series
Chapter: [12] Time Series
Concept: undefined >> undefined

Solve the following problem :

Obtain trend values for data in Problem 16 using 3-yearly moving averages.

[12] Time Series
Chapter: [12] Time Series
Concept: undefined >> undefined

Obtain trend values for data in Problem 19 using 3-yearly moving averages.

[12] Time Series
Chapter: [12] Time Series
Concept: undefined >> undefined

Solve the following problem :

Following tables shows the wheat yield (‘000 tonnes) in India for years 1959 to 1968.

Year 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968
Yield 0 1 2 3 1 0 4 1 2 10

Fit a trend line to the above data by the method of least squares.

[12] Time Series
Chapter: [12] Time Series
Concept: undefined >> undefined

Base year weights (W) and current year price relatives (I) are given in Problem. Calculate the cost of living index in:

Group Food Clothing Fuel & Lighting House Rent Miscellaneous
I 70 90 100 60 80
W 5 3 2 4 6
[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

Base year weights (W) and current year price relatives (I) are given in Problem. Calculate the cost of living index in:

Group Food Clothing Fuel & Lighting House Rent Miscellaneous
I 400 300 150 120 100
W 3 3 4 5 2
[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

Base year weights (W) and current year price relatives (I) are given in Problem. Calculate the cost of living index in:

Group Food Clothing Fuel & Lighting House Rent Miscellaneous
I 200 150 120 180 160
W 30 20 10 40 50
[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

Find x if the cost of living index is 150.

Group Food Clothing Fuel & Lighting House Rent  Miscellaneous
I 180 120 300 100 160
W 4 5 6 x 3
[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

Base year weights (W) and current year price relatives (I) are given in Problem. Calculate the cost of living index in:

Find y if the cost of living index is 200.

Group Food Clothing Fuel & Lighting House Rent Miscellaneous
I 180 120 160 300 200
W 4 5 3 y 2
[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

Solve the following problem :

Find the cost living index number by the Weighted Aggregate Method.

Group Food Clothing Fuel & Lighting House Rent Miscellaneous
I 78 80 110 60 90
W 5 3 4 2 6
[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

Solve the following problem :

Find the cost of living index number by Family Budget Method for the following data. Also, find the expenditure of a person in the year 2008 if his expenditure in the year 2005 was ₹ 10,000.

Group Base Year
(2005) Price
Current Year
(2008) Price
Weight
Food 12 60 25
Clothing 10 45 20
Fuel and Lighting 20 35 15
House Rent 25 20 30
Miscellaneous 16 48 10
[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined
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