Foundation PN-3 FBMS Quiz 6

1. In a bivariate regression analysis comprising of series X & Y, if Σ(X − X)² = Σ(Y − Y )² then :

2. X = 1.36Y – 5.2 & Y = 0.61X + 1.51 are two regression equations. Correlation coefficient between X & Y is :

3. In a bivariate regression analysis ΣXY = 1355.25, (ΣX) (ΣY) = 6396, ΣX² = 591.50 & ΣX = 52. If there are 5 items then bYX

4. If r² = 0.3 & bXY = – 1.5 then bYX is equal to :

5. In a regression equation:

6. If bXY & bYX are regression coefficients between X on Y and Y on X respectively and r is the correlation coefficient between X and Y then :

7. If = r = 0.52, σX = 4.6 & σY = 36.8 then bXY is equal to:

8. Which one of the following is correct?

9. If bXY and bYX are regression coefficients of series X on series Y and regression coefficients of series Y on series X respectively then which one of the following is correct?

10. If bXY and bYX are regression coefficients of series X on series Y and regression coefficients of series Y on series X respectively then which one of the following is correct?

11. Which one of the following is a feature of Harmonic Mean (HM)?

12. Which one of the following is not a feature of Arithmetic Mean (AM)?

13. It is the most suitable average when it is desired to give greater weight to smaller observations and less weight to larger ones. It is

14. A person walks 8 km at 4km an hour, 6km at 3km an hour and 4km at 2km an hour. Average speed per hour is

15. In a certain factory a unit of work is completed by A in 4 minutes, by B in 5 minutes, by C in 6 minutes, by D in 10 minutes, and by E in 12 minutes. Average number of units of work completed per minute is

16. The weighted average from the following observation is `46.23. Price per tonne (`) : 45.60 50.70? Tonnes Purchased :  135  40  25 Simple average of observation is

17. The mean of a certain number of items is 42. If one more item 64 is added to the data, the mean becomes 44. The no of items in the original data is

18. The sum of the deviations of a certain number of observations measured from 4 is 72 and the sum of the deviations of the observations from 7 is -3. Mean of the observations is

19. For a certain frequency table which has only been partly reproduced below for which the mean is 1.46

No of accidents: 0 1 2  3  4  5

Frequency :             46 f1 f2 25 10 5

If ∑f = 200 Unknown frequents are :

20. The pass result of 50 students who took up a class test is given below:

Marks      : 4  5  6  7  8  9

No of Students : 8  10 9 6 4             3

21. The mean daily salary paid to all employees in a certain company was `600. The mean daily salaries paid to the male and female employees were `620 and `520 respectively. Male to female employees ratio in the company is :

22. If A = 500, i = 1000 & Σfd′ = 232 & Σf = 120 x is :

23. Assumed mean is 35, ∑fd=-425 & ∑f = 63. x is:

24. If each of the values of a variable x with mean of x, is multiplied by K then the new mean of the variable is :

25. The sum of the squares of deviations of a set  of observations is the minimum when deviations are taken from the :