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HSC Commerce (English Medium) इयत्ता १२ वी - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

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Mathematics and Statistics
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Choose the correct alternative.

bYX > 1 then bXY is _______

[11] Linear Regression
Chapter: [11] Linear Regression
Concept: undefined >> undefined

|bxy + byx | ≥ ______.

[11] Linear Regression
Chapter: [11] Linear Regression
Concept: undefined >> undefined

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bxy and byx are _______.

[11] Linear Regression
Chapter: [11] Linear Regression
Concept: undefined >> undefined

Choose the correct alternative.

Corr (x, y) = _____

[11] Linear Regression
Chapter: [11] Linear Regression
Concept: undefined >> undefined

Choose the correct alternative.

Corr `("x - a"/"c", "y - b"/"d")` = - corr (x, y) if,

[11] Linear Regression
Chapter: [11] Linear Regression
Concept: undefined >> undefined

Choose the correct alternative.

Regression equation of Y on X is ____

[11] Linear Regression
Chapter: [11] Linear Regression
Concept: undefined >> undefined

Calculate Laspeyre’s, Paasche’s, Dorbish-Bowley’s, and MarshallEdgeworth’s Price index numbers.

Commodity Base Year Current Year
Price Quantity Price Quantity
A 8 20 11 15
B 7 10 12 10
C 3 30 5 25
D 2 50 4 35
[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

Calculate Laspeyre’s, Paasche’s, Dorbish-Bowley’s, and Marshall - Edgeworth’s Price index numbers.

Commodity Base Year Current Year
Price Quantity Price Quantity
I 10 9 20 8
II 20 5 30 4
III 30 7 50 5
IV 40 8 60 6
[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

Calculate Walsh’s Price Index Number.

Commodity Base Year Current Year
Price Quantity Price Quantity
L 4 16 3 19
M 6 16 8 14
N 8 28 7 32
[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

Calculate Walsh’s Price Index Number.

Commodity Base Year Current Year
Price Quantity Price Quantity
I 10 12 20 9
II 20 4 25 8
III 30 13 40 27
IV 60 29 75 36
[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

If P01(L) = 90 and P01(P) = 40, find P01(D – B) and P01(F).

[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

If ∑p0q0 = 140, ∑p0q1 = 200, ∑p1q0 = 350, ∑p1q1 = 460, find Laspeyre’s, Paasche’s, Dorbish-Bowley’s and Marshall-Edgeworth’s Price Index Numbers.

[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

Given that Laspeyre’s and Dorbish-Bowley’s Price Index Numbers are 160.32 and 164.18 respectively, find Paasche’s Price Index Number.

[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

Given that ∑p0q0 = 220, ∑p0q1 = 380, ∑p1q1 = 350 and Marshall-Edgeworth’s Price Index Number is 150, find Laspeyre’s Price Index Number.

[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

Find x in the following table if Laspeyre’s and Paasche’s Price Index Numbers are equal.

Commodity Base Year Current year
Price Quantity Price Quantity
A 2 10 2 5
B 2 5 x 2
[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

If Laspeyre's Price Index Number is four times Paasche's Price Index Number, then find the relation between Dorbish-Bowley's and Fisher's Price Index Numbers.

[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

The optimum value of the objective function of LPP occurs at the center of the feasible region.

[14] Linear Programming
Chapter: [14] Linear Programming
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If Dorbish-Bowley's and Fisher's Price Index Numbers are 5 and 4, respectively, then find Laspeyre's and Paasche's Price Index Numbers.

[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

Choose the correct alternative :

The price Index Number by Weighted Aggregate Method is given by ______.

[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

Laspeyre’s Price Index Number is given by ______.

[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined
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