BUSINESS STATISTICS - MCQS

F.Y B.COM

SEMESTER - 2

BUSINESS STATISTICS

(BS)

MCQS 

1. The term regression was introduced by:

(a) R. A. Fisher 

(b) Sir Frances Galton

(c) Karl Pearson 

(d) None of the above

2. If X and Y are two variable, there can be at most:

(a) One regression line 

(b) Two regression lines

(c) Three regression lines 

(d) An infinite number of regression lines

3. In a regression line Y on X, the variable X is known as:

(a) Independent variable 

(b) Regressor

(c) Explanatory variable 

(d) All the above

4. Regression equation is also named as:

(a) Prediction equation 

(b) Estimating equation

(c) Line of average relationship 

(d) All the above

5. In the regression line Y = a + bX, b is called

(a) Slope of the line 

(b) Intercept of the line

(c) Neither (a) nor (b) 

(d) Both (a) and (b)

6. From the following data regarding the rainfall and the crop yield, estimated the yield when the rainfall  is 22 cms.

	Y Yield	X Rainfall
	(In kgs.)	(In cms.)
Average	508.4	26.7
S.D.	36.4	4.6

 Correlation co-efficient = 0.52

(a) 32.65 

(b) 488.85

(c) 466.6

(d) 848.8

7. If byx and bxy are two regression coefficients, they have

(a) Same sign 

(b) Opposite sign

(c) Either same or opposite signs 

(d) Nothing can be said

8. The property that byx and mb bxy and r have same sign, is called

(a) Fundamental property 

(b) Signature property

(c) Magnitude property 

(d) None of the above

9. If byx = −0.8 , bxy = −0.45 then r =_________.

(a) 0.5

(b) -0.6

(c) 0.6

(d) -0.36

10. The two regression co-efficient are 0.8 and 0.2 hence correlation co-efficient is 

(a) 0.4

(b) -0.6

(c) 0.16

(d) -0.4

11. The two regression lines are perpendicular to each other hence the Correlation Coefficient between them is

(a) 0.5

(b) -1

(c) 1

(d) 0

12. The greater the angle between the regression lines, __________ the correlation between the variables.

(a) Lesser 

(b) Higher

(c) Medium

(d) None of them

13. Two regression lines are 3x = y and 4y = 3x and Sx = 2, then r =_______.

(a) 0.05

(b) -0.05

(c) 0.5

(d) 0

14. Once of the regression co-efficient of two perfectly correlated variables is 0.5, hence the other regression co-efficient is

(a) 0.5

(b) -0.5

(c) 2

(d) -2

15. If X and Y are independent, the value of regression coefficient byx is equal to:

(a) 0

(b) 1

(c) 2

(d) any positive value

16. If the two lines of regression are perpendicular to each other, the relation between the two regression coefficients is 

(a) byx = bxy

(b) byx bxy = 1

(c) byx ≤ bxy 

(d) byx = bxy = 0

17. If the two lines of regression are coincident, the relation between the two regression coefficients is 

(a) byx = bxy

(b) byx bxy = 1

(c) byx ≤ bxy 

(d) byx = - bxy

18. The regression equation of y on x is y =-3 +0.5x and that of x on y is x = -7 + By. If correlation coefficient is 0.1, then B is equal to: 

(a) 0.5

(b) -0.5

(c) 0.02

(d) -0.02

19. If byx > 1 bxy then bxy is 

(a) Less than 1

(b) Greater than 1

(c) Equal to 1 

(d) Equal to 0

 

20. A process by which we estimate the value of dependent variable on the basis of one or more independent variables is called:

(a) Correlation 

(b) Regression 

(c) Residual 

(d) Slope

 

21. The method of least squares dictates that we choose a regression line there the sum of the square of deviations of the points from the lie is:

(a) Maximum 

(b) Minimum 

(c) Zero 

(d) Positive

 

22. All data points falling along a straight line is called:

(a) Linear relationship 

(b) Non linear relationship

(c) Residual 

(d) Scatter diagram

23. The value we would predict for the dependent variable when the independent variables are all equal to zero is called:

(a) Slope

(b) Sum of residual

(c) Intercept 

(d) Difficult to tell

 

24. The predicted rate of response of the dependent variable to changes in the independent variable is called:

(a) Slope

(b) Intercept

(c) Error

(d) Regression equation

 

25. In the regression equation Y = a+bX, the Y is called:

(a) Independent variable

(b) Dependent variable

(c) Continuous variable 

(d) None of the above

 26. The purpose of simple linear regression analysis

(a) Predict one variable from another variable

(b) Replace points on a scatter diagram by a straight-line

(c) Measure the degree to which two variables are linearly associated

(d) Obtain the expected value of the independent random variable for a given value of the dependent variable

27. If the two series move in reverse directions and the variations in their values are always proportionate, it is said to be:

(a) Negative correlation 

(b) Positive correlation

(c) Perfect negative correlation 

(d) Perfect positive correlation

28. If X is measured in yours and Y is measured in minutes, then correlation coefficient has the unit:

 

(a) Hours

(b) Minutes 

(c) Both (a) and (b)

(d) No unit

29. The range of regression coefficient is:

(a) -1 to +1

(b) 0 to 1 

(c) -∞ to +∞

(d) 0 to ∞

 

30. If byx = bxy = 1 and Sx = Sy, then r will be:

(a) 0

(b) -1

(c) 1

(d) Difficult to calculate

31. If rxy = 0.75, then correlation coefficient between u = 1.5X and V=2Y is

(a) 0

(b) 0.75

(c) -0.75

(d) 1.5

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