HSC Commerce (English Medium) १२ वीं कक्षा - Maharashtra State Board Question Bank Solutions

Solve the following problem :

A chartered accountant’s firm has accepted five new cases. The estimated number of days required by each of their five employees for each case are given below, where - means that the particular employee cannot be assigned the particular case. Determine the optimal assignment of cases of the employees so that the total number of days required to complete these five cases will be minimum. Also find the minimum number of days.

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If for a bivariate data, b_YX = – 1.2 and b_XY = – 0.3, then r = ______

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If the regression equation X on Y is 3x + 2y = 26, then b_xy equal to 

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If b_yx < 0 and b_xy < 0, then r is ______

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|b_yx + b_xy| ≥ ______

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Find the value of the covariance between X and Y, if the regression coefficient of Y on X is 3.75 and σ_x = 2, σ_y = 8

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b_xy and b_yx are ______

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If r = 0.5, σ_x = 3, `σ_"y"^2` = 16, then b_yx = ______

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If r = 0.5, σ_x = 3, σ_y² = 16, then b_xy = ______

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Both the regression coefficients cannot exceed 1

State whether the following statement is True or False:

If b_yx = 1.5 and b_xy = `1/3` then r = `1/2`, the given data is consistent

State whether the following statement is True or False: 

If b_xy < 0 and b_yx < 0 then ‘r’ is > 0

State whether the following statement is True or False:

The following data is not consistent: b_yx + b_xy =1.3 and r = 0.75

State whether the following statement is True or False: 

If u = x – a and v = y – b then b_xy = b_uv 

State whether the following statement is True or False:

Corr(x, x) = 0

Corr(x, x) = 1

State whether the following statement is True or False:

Cov(x, x) = Variance of x

State whether the following statement is True or False:

Regression coefficient of x on y is the slope of regression line of x on y

If n = 5, ∑xy = 76, ∑x² = ∑y² = 90, ∑x = 20 = ∑y, the covariance = ______

|b_xy + b_yx| ≥ ______