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CA Foundation Mathematics Practice set for exam
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In spearman’s Correlation Coefficient, the sum of the differences of ranks between two
variables shall be
(a) 0
(b) 1
(c) -1
(d) None of these
2
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(a) Arithmetic Mean
(b) Geometric Mean
(c) Harmonic Mean
(d) All of the above
3
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4
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409
(b) 0
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833
(d) 0
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If 𝑥̅ , 𝑦̅denote the arithmetic means, 𝜎x, 𝜎y denotes the standard deviations bxy, byx
denote the regression coefficients of the variables ‘x’ and ‘y’ respectively, then the point
of intersection of regression lines x on y & y on x is
(a) (𝜎x, 𝜎y)
(b) (bxy, byx)
(c) (𝜎x2, 𝜎y2)
(d) (𝑥̅ , 𝑦̅)
6
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Then x and y are;
(a) Positively correlated
(b) Negatively correlated
(c) Correlation is zero
(d) None of these
7
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2
(b) 0
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CA Foundation Mathematics Practice set for exam
...
r of 𝑋 𝑎𝑛𝑑 𝑌 = 0
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Which one of the following is correct –
(a) r2 shows the nature of dependence and not the degree of dependence
(b) value of r2 decreases much less rapidly as the value of r decreases
2
(c) value of r = value of r = -1
(d) value of r2 will always be lesser than value of r unless r = 1 or 0
10
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6475 Standard Error
(b)
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6457 Standard Error
(d)
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While drawing a scatter if the plotted points fall in a narrow band and show a rising
tendency from the lower-left hand cover to the upper right hand corner, it indicates the
existence of –
(a) High degree of positive correlation
(b) Low degree of positive correlation
(c) Low degree of negative correlation
(d) High degree of negative correlation
12
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98
(b) 9
(c) 2
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𝑥̅ = 53, 𝑦̅= 28, b (Y on X) = -1
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2, the regression equation of X on Y will
be:
(a) X = 58
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2Y
(b) X = 107
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Σ𝑋 = 120, Σ𝑌 = 432, Σ𝑋𝑌 = 4992, Σ𝑋2 = 1392, Σ𝑌2 = 18252, 𝑁 = 12, the value of
byx will be –
(a) + 0
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249
(c) +3
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5
15
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28
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6
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048

Rejection is the injection of progress
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(b) 9
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048
(d) 11
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If the coefficient of correlation between X and Y variables is +0
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30
(b) 0
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94
(d) None of these
6Σ𝐷2
, where D stands
17
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The product moment correlation coefficient is obtained by the formula –
Σ𝑥𝑦
(a) r =
(a)
(b)
(c)
(d)

(b) r =
(c) r =
(d)

𝜎𝑥𝜎𝑦
Σ𝑥𝑦
𝑁𝜎𝑥𝜎𝑦
Σ𝑥𝑦

𝑁 √𝜎 𝑥 𝜎 𝑦
Σ𝑥𝑦

√𝑁𝜎𝑥𝜎𝑦

19
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correlation is
(a) Positive
(b) Negative
(c) Zero
(d) none
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6132
(b) 1
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6132
(d) None of these
21
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The coefficient of correlation is
(a) 2
(b) 1
(c) 0
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87
22
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CA Foundation Mathematics Practice set for exam
...
For calculation of correlation coefficient, a change of origin is
(a) Not possible
(b) Possible
(c) Both
(d) none
24
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Characteristics by two judges are in reverse order then find the
value of spearman rank correlation co-efficient
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75
25
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5 is not possible
(a) False
(b) True
(c) Both
(d) None
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(a) More than, more than
(b) Less than, less than
(c) More than, less than
(d) Positive, negative
27
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If the values of X variables are 1, 2, 3, 4, 5 and those of Y variable are 2, 4, 6, 8, 10 the
concurrent deviation (rc) will be –
(a) +1
(b) 0
(c) -1
(d) None of these
29
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If standard error of estimate is zero, r will be –

Rejection is the injection of progress
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(a)
(b)
(c)
(d)

±1
0
±∞
𝑛𝑜𝑛𝑒 𝑜𝑓 𝑡ℎ𝑒𝑠𝑒

1
...
b
11
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b
21
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c

2
...
c
12
...
a
22
...
d

3
...
d
13
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b
23
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a

4
...
d
14
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a
24
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b

5
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b
15
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a
25
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a

Rejection is the injection of progress

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