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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 (b) directly correlated
(c) both (d) none
4. If high values of one tend to low values of the other, they are said to be
(a) negatively correlated (b) inversely correlated
(c) both (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 both origin & the scale 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 (b) independent (c) both (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 (b) Rank Method (c) both (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
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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. Great advantage of ____________ is that it can be used to rank attributes which can not
be expressed by way of numerical value .
(a) concurrent correlation (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 premium of insurance – correlations are
(a) positive (b) negative (c) zero (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 (b) Coefficient of regression
(c) both (d) none
26. The line of regression passes through the points, bearing _________ no. of points on both
sides
(a) equal (b) unequal (c) zero (d) none
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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 (b) slope of the line
(c) both (d) none
30. The equations Y = a + bX and X = a + bY are based on the method of
(a) greatest squares (b) least squares (c) both (d) none
31. The line Y = a + bX represents the regression equation of
(a) Y on X (b) X on Y (c) both (d) none
32. The line X = a + bY represents the regression equation of
(a) Y on X (b) X onY (c) both (d) none
33. Two regression lines always intersect at the means.
(a) true (b) false (c) both (d) none
34. r, b , b all have ______ sign.
xy yx
(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 deviations 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
unexplained variance explained variance
(a) r2= 1 – (b) r2 =
total 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
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41. In the line Y = 19 – 5X/2 , b is equal to
yx
(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 /5, b is equal to
xy
(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 (b) regression (c) both (d) none
45. A relationship r2 1 — 580 is not possible 300
=
(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 (b) nonlinear correlation
(c)both (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 variables 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
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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 (b) negative correlation
(c) no correlation (d) none
60. In case ‘Insurance companies’ profits and the no of claims they have to pay “——
(a) positive correlation (b) negative correlation
(c) no correlation (d) none
61. In case ‘Years of education and income’———
(a) positive correlation (b) negative correlation
(c) no correlation (d) none
62. In case ‘Amount of rainfall and yield of crop’——
(a) positive correlation (b) negative correlation
(c) no correlation (d) none
63. For calculation of correlation coefficient, a change of origin is
(a) not possible (b) possible (c) both (d) none
64. The relation r = cov (x,y)/σ.σ is
xy x y
(a) true (b) false (c) both (d) none
65. A small value of r indicates only a _________ linear type of relationship between the
variables.
(a) good (b) poor (c) maximum (d) highest
66. Two regression lines coincide when
(a) r = 0 (b) r = 2 (c) r = + 1 (d) none
67. Neither y nor x can be estimated by a linear function of the other variable when r is equal
to
(a) + 1 (b) – 1 (c) 0 (d) none
68. When r = 0 then cov (x,y) is equal to
(a) + 1 (b) – 1 (c) 0 (d) none
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69. When the variables are not independent, the correlation coefficient may be zero
(a) true (b) false (c) both (d) none
70. b is called regression coefficient of
xy
(a) x on y (b) y on x (c) both (d) none
71. b is called regression coefficient of
yx
(a) x on y (b) y on x (c) both (d) none
72. The slopes of the regression line of y on x is
(a) b (b) b (c) b (d) b
yx xy xx yy
73. The slopes of the regression line of x on y is
(a) b (b) b (c) 1/b (d) 1/b
yx xy xy yx
74. The angle between the regression lines depends on
(a) correlation coefficient (b) regression coefficient
(c) both (d) none
75. If x and y satisfy the relationship y = –5 + 7x, the value of r is
(a) 0 (b) – 1 (c) + 1 (d) none
76. If b and b are negative, r is
yx xy
(a) positive (b) negative (c) zero (d) none
77. Correlation coefficient r lie between the regression coefficients b and b
yx xy
(a) true (b) false (c) both (d) none
78. Since the correlation coefficient r cannot be greater than 1 numerically, the product of the
regression must
(a) not exceed 1 (b) exceed 1 (c) be zero (d) none
79. The correlation coefficient r is the __________ of the two regression coefficients b and
yx
b
xy
(a) A.M (b) G.M (c) H.M (d) none
80. Which are is true
(a) b = r σx (b) b = r σy
yx σy yx σx
(c) b = r σxy (d) b = r σyy
yx σx yx σx
81. Maximum value of Rank Correlation coefficient is
(a) –1 (b) + 1 (c) 0 (d) none
82. The partial correlation coefficient lies between
(a) –1 and +1 (b) 0 and + 1 (c) –1 and (d) none
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83. r is the correlation coefficient between
12
(a) x and x (b) x and x (c) x and x (d) x and x
1 2 2 1 1 3 2 3
84. r is the same as r
12 21
(a) true (b) false (c) both (d) none
85. In case ‘Age and income’ correlation is
(a) positive (b) negative (c) zero (d) none
86. In case ‘Speed of an automobile and the distance required to stop the car often applying
brakes’ – correlation is
(a) positive (b) negative (c) zero (d) none
87. In case ‘Sale of woolen garments and day temperature’–––– correlation is
(a) positive (b) negative (c) zero (d) none
88. In case ‘Sale of cold drinks and day temperature’ –––––– correlation is
(a) positive (b) negative (c) zero (d) none
89. In case of ‘Production and price per unit’ – correlation is
(a) positive (b) negative (c) zero (d) none
90. If slopes at two regression lines are equal them r is equal to
(a) 1 (b) +1 (c) 0 (d) none
91. Co–variance measures the joint variations of two variables.
(a) true (b) false (c) both (d) none
92. The minimum value of correlation coefficient is
(a) 0 (b) –2 (c) 1 (d) –1
93. The maximum value of correlation coefficient is
(a) 0 (b) 2 (c) 1 (d) –1
94. When r = 0 , the regression coefficients are
(a) 0 (b) 1 (c) –1 (d) none
95. For the regression equation of Y on X , 2x + 3Y + 50 = 0. The value of b is
YX
(a) 2/3 (b) – 2/3 (c) –3/2 (d) none
96. In Method of Concurrent Deviations, only the directions of change (Positive direction /
Negative direction) in the variables are taken into account for calculation of
(a) coefficient of S.D (b) coefficient of regression.
(c) coefficient of correlation (d) none
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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)
61 (a) 62 (a) 63 (b) 64 (a) 65 (b)
66 (c) 67 (c) 68 (c) 69 (a) 70 (a)
71 (b) 72 (a) 73 (c) 74 (a) 75 (c)
76 (b) 77 (a) 78 (a) 79 (b) 80 (b)
81 (b) 82 (a) 83 (a) 84 (a) 85 (a)
86 (a) 87 (b) 88 (b) 89 (b) 90 (b)
91 (a) 92 (d) 93 (c) 94 (a) 95 (b)
96 (c)
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