Here are some important questions useful for ASO (Assistant Statistical Officers) exam of TSPSC to be conducted in Telangana State. Answers are given at the end of the questions. These are arithmetic model / practice questions.
1. ...... is concerned with the measurement of the ‘strength of association’ between variables.
a) correlation b) regression
c) both d) none
2. ...... gives the mathematical relationship of the variables
a) correlation b) regression
c) both d) none
3. When high values of one variable are associated with high values of the other & low values of one variable are associated with low values of another, then they are said to be
a) positively correlated c) both
b) directly correlated d) none
4. If high values of one tend to low values of the other, they are said to be
a) negatively correlated c) both
b) inversely correlated d) none
5. Correlation coefficient between two variables is a measure of their linear relationship
a) true b) false c) both d) none
6. Correlation coefficient is dependent of the choice of tboth origin & the sacle of observations
a) True b) false c) both d) none
7. Correlation coefficient is a pure number
a) true b) false c) both d) none
8. Correlation coefficient is ...... of the units of measurement
a) dependent c) both
b) independent d) none
9. The value of correlation coefficient lies between
a) -1 and +1 b) -1 and 0
c) 0 and 1 d) none
10. Correlation coefficient can be found out by
a) Scatter Diagram c) both
b) Rand method d) none
11. Covariance measures ...... variations of two variables
a) joint b) single c) both d) none
12. In calculating the Karl Pearson’s coefficient of correlation it is necessary that the data should be of numerical measurements. The statement is?
a) valid b) not valid
c) both d) none
13. Rank correlation coefficient lies between?
a) 0 to 1 b) -1 to +1
c) -1 to 0 d) both
14. A coefficient near +1 indicates tendency for the larger values of one variable to be associated with the larger values of the other
a) true b) false c) both d) none
15. In rank correlation coefficient the association need not be linear
a) true b) false c) both d) none
16. In rank correlation coefficient only an increasing/decreasing relationship is required
a) false b) true c) both d) none
17. Greater advantage of ...... is that it can be used to rank attributes which can not be expressed by way of numerical value
a) concurrent correletion b) regression
c) rank correlation d) none
18. The sum of the difference of rank is
a) 1 b) -1 c) 0 d) none
19. Karl Pearson’s coefficient is defined from
a) ungrouped data b) grouped data c) both d) none
20. Correlation methods are used to study the relationship between two time series of data which are recorded annually, monthly, weekly, daily and so on
a) True b) false c) both d) none
21. Age of Applicants for life insurance and the premimum of insurance - correlations are
a) positive b) negative c) zer d) none
22. ‘Unemployment index and the purchasing power of the common man’ ...... Correlations are
a) positive b) negative c) zero d) none
23. Production of pig iron and soot content in Durgapur - Correlations are?
a) positive b) negative c) zero d) none
24. ‘Demand for goods and their prices under normal times’ ...... Correlations are
a) positive b) negative c) zero d) none
25. ...... is a relative measure of association between two or more variables.
a) Coefficient of correlation c) both
b) Coefficient of regression d) both
26. The line of regression passes through the points, bearing ...... no. of points on both sides
a) equal b) unequal
c) zero d) none
27. Under Algebraic Method we get ...... linear equations
a) one b) two c) three d) none
28. In linear equations Y= a+bX and X= a+bY ‘a’ is the
a) intercept of the line b) slope c) both d) none
29. In linear equations Y= a+bX and X= a + bY’b’ is the
a) intercept of the line c) both
b) slope of the line d) none
30. The equations Y= a+bX and X= a+bY are based on the method of
a) greatest squares c) both
b) least squares d) none
31. The Y= a+bX represents the regression equation of
a) Y on X b) Y on Y c) both d) none
32. The line X=a+bY represents the regression equation of
a) Y on X b) Y on Y
c) both d) none
33. Two regression lines always intersect at the means
a) true b) false c) both d) none
34. R, bxy, byx all have ...... sign
a) different b) same c) both d) none
35. The regression coefficients are zero if r is equal to
a) 2 b) -1 c) 1 d) 0
36. The regression lines are identical if r is equal to
a) +1 b) 1 c) ±1 d) 0
37. The regression lines are perpendicular to each other if r is equal to
a) 0 b) +1 c) -1 d) ±1
38. Feature of Least Square regression lines are ...... The sum of the deviation at the ‘Y’s or the ‘X’s from their regression lines are zero
a) true b) false c) both d) none
39. The coefficient of determination is defined by the formula
a) r2= 1-(unexplained variance)/ (total variance)
b) r2=(explained variance)/(total variance)
c) both d) none
40. The line Y= 13-3X/2 is the regression equation of
a) Y on X b) X on Y c) both d) none
41. In the line Y= 19-5X/2, byx is equal to
a) 19/2 b) 5/2 c) -5/2 d) none
42. The line X= 31/6-Y/6 is the regression equation of
a) Y on X b) X on Y c) both d) none
43. In the equation X= 35/8-2Y, bxy is equal to
a) -2/5 b) 35/8 c) 2/5 d) 5/2
44. The square of coefficient of correlation ‘r’ is called the coefficient of
a) determination c) both
b) regression d) none
45. A300 relationship r2 _1-580 is not possible
a) true b) false c) both d) none
46. Whatever may be the value of r, positive or negative, its square will be
a) negative only b) positive only
c) zero only d) none only
47. Simple correlation is called
a) linear correlation c) both
b) nonlinear correlation d) none
48. A scatter diagram indicates the type of correlation between two variables
a) true b) false c) both d) none
49. If the pattern of points (or dots) on the scatter diagram shows a linear path diagonally across the graph paper from the bottom left-hand corner to the top right, correlation will be?
a) negative b) zero c) positive d) none
50. The correlation coefficient being +1 if the slope of the straight line in a scatter diagram is?
a) positive b) negative c) zero d) none
51. The correlation coefficient being -1 if the slope of the straight line in a scatter diagram is
a) positive b) negative c) zero d) none
52. The more scattered the points are around a straight line in a scattered diagram the ...... is the correlation coefficient.
a) zero b) more c) less d) none
53. If the values of y are not affected by changes in the values of x, the variable are said to be
a) correlated b) uncorrelated
c) both d) zero
54. If the amount of change in one variable tends to bear a constant ratio to the amount of change in the other variable, then correlation is said to be
a) non linear b) linear c) both d) none
55. Variance may be positive, negative or zero
a) true b) false c) both d) none
56. Covariance may be positive, negative or zero
a) true b) false c) both d) none
57. Correlation coefficient between x and y= correlation coefficient between u and v
a) true b) false c) both d) none
58. In case ‘The ages of husbands and wives’ ...... correlation is
a) positive b) negative c) zero d) none
59. In case ‘Shoe size and intelligence’
a) positive correlation c) no correlation
b) negative correlation d) none
60. In case ‘Insurance companies’ profits and the no of claims they have to pay’_
a) positive correlation
c) no correlation
b) negative correlation
d) none
Answers / Key:
1)a 2)b 3)c 4)c 5)a 6)b 7)a 8)b 9)a 10)c 11)a 12)a 13)b 14)a 15)a 16)b 17)c 18)c 19)a 20)a 21)a 22)b 23)a 24)b 25)a 26)a 27)b 28)a 29)b 30)b 31)a 32)b 33)a 34)b 35)d 36)c 37)a 38)a 39)c 40)a 41)c 42)b 43)a 44)a 45)a 46)b 47)a 48)a 49)c 50)a 51)b 52)c 53)b 54)b 55)b 56)a 57)a 58)a 59)c 60)b.
