CA Foundation Mathematics Practice set for exam.
Practice Set Question
1. 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. The coefficient of correlation between two variables x and y is the simple of
the two regression coefficients.
(a) Arithmetic Mean
(b) Geometric Mean
(c) Harmonic Mean
(d) All of the above
3. If 2 variables are uncorrelated, their regression lines are:
(a) Parallel
(b) Perpendicular
(c) Coincident
(d) Inclined at 45 degrees.
4. If the covariance between variables X and Y is 25 and variance of X and Y are respectively
36 and 25, then the coefficient of correlation is
(a) 0.409
(b) 0.416
(c) 0.833
(d) 0.0277
5. 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. Two variables x and y are related according to 4x + 3y = 7. Then x and y are;
(a) Positively correlated
(b) Negatively correlated
(c) Correlation is zero
(d) None of these
7. Σ𝑥𝑦 = 156, Σ𝑥 = 36, Σ𝑦 = 44, Σ𝑥2 = 204, Σ𝑦2 = 284, 𝑁 =
8, 𝑁𝑜 𝑑𝑒𝑟𝑖𝑣𝑎𝑡𝑖𝑜𝑛𝑠 ℎ𝑎𝑣𝑒 𝑏𝑒𝑒𝑛 𝑡𝑎𝑘𝑒𝑛, 𝑟 𝑤𝑖𝑙𝑙 𝑏𝑒 −
(a) 0.2
(b) 0.8
(c) +1
(d) -1
Rejection is the injection of progress.
, CA Foundation Mathematics Practice set for exam.
8. r of 𝑋 𝑎𝑛𝑑 𝑌 = 0.6, 𝑐𝑜𝑣𝑎𝑟𝑖𝑎𝑛𝑐𝑒 = 18, 𝑣𝑎𝑟𝑖𝑎𝑛𝑐𝑒 𝑜𝑓 𝑋 𝑠𝑒𝑟𝑖𝑒𝑠 =
25, 𝑣𝑎𝑟𝑖𝑎𝑛𝑐𝑒 𝑜𝑓 𝑌 𝑤𝑖𝑙𝑙 𝑏𝑒 −
(a) 34
(b) 37
(c) 35
(d) 36
9. 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. probable error is –
(a) .6475 Standard Error
(b) .6745 Standard Error
(c) .6457 Standard Error
(d) .6547 Standard Error
11. 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. If bxy = -9/16, byx = -1 and the variance of Y = 16, variance of X = 9, then standard error of
estimate of Y will be –
(a) 1.98
(b) 9
(c) 2.6
(d) 16
13. 𝑥̅ = 53, 𝑦̅= 28, b (Y on X) = -1.5, b (X on Y) = -0.2, the regression equation of X on Y will
be:
(a) X = 58.6 – 0.2Y
(b) X = 107.5 – Y
(c) Both
(d) None
14. Σ𝑋 = 120, Σ𝑌 = 432, Σ𝑋𝑌 = 4992, Σ𝑋2 = 1392, Σ𝑌2 = 18252, 𝑁 = 12, the value of
byx will be –
(a) + 0.249
(b) – 0.249
(c) +3.5
(d) -3.5
15. The coefficient of correlation between two variables x and y is 0.28. their covariance is
7.6. if the variance of x is 9, then the standard deviation of y is:
(a) 8.048
Rejection is the injection of progress.
Practice Set Question
1. 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. The coefficient of correlation between two variables x and y is the simple of
the two regression coefficients.
(a) Arithmetic Mean
(b) Geometric Mean
(c) Harmonic Mean
(d) All of the above
3. If 2 variables are uncorrelated, their regression lines are:
(a) Parallel
(b) Perpendicular
(c) Coincident
(d) Inclined at 45 degrees.
4. If the covariance between variables X and Y is 25 and variance of X and Y are respectively
36 and 25, then the coefficient of correlation is
(a) 0.409
(b) 0.416
(c) 0.833
(d) 0.0277
5. 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. Two variables x and y are related according to 4x + 3y = 7. Then x and y are;
(a) Positively correlated
(b) Negatively correlated
(c) Correlation is zero
(d) None of these
7. Σ𝑥𝑦 = 156, Σ𝑥 = 36, Σ𝑦 = 44, Σ𝑥2 = 204, Σ𝑦2 = 284, 𝑁 =
8, 𝑁𝑜 𝑑𝑒𝑟𝑖𝑣𝑎𝑡𝑖𝑜𝑛𝑠 ℎ𝑎𝑣𝑒 𝑏𝑒𝑒𝑛 𝑡𝑎𝑘𝑒𝑛, 𝑟 𝑤𝑖𝑙𝑙 𝑏𝑒 −
(a) 0.2
(b) 0.8
(c) +1
(d) -1
Rejection is the injection of progress.
, CA Foundation Mathematics Practice set for exam.
8. r of 𝑋 𝑎𝑛𝑑 𝑌 = 0.6, 𝑐𝑜𝑣𝑎𝑟𝑖𝑎𝑛𝑐𝑒 = 18, 𝑣𝑎𝑟𝑖𝑎𝑛𝑐𝑒 𝑜𝑓 𝑋 𝑠𝑒𝑟𝑖𝑒𝑠 =
25, 𝑣𝑎𝑟𝑖𝑎𝑛𝑐𝑒 𝑜𝑓 𝑌 𝑤𝑖𝑙𝑙 𝑏𝑒 −
(a) 34
(b) 37
(c) 35
(d) 36
9. 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. probable error is –
(a) .6475 Standard Error
(b) .6745 Standard Error
(c) .6457 Standard Error
(d) .6547 Standard Error
11. 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. If bxy = -9/16, byx = -1 and the variance of Y = 16, variance of X = 9, then standard error of
estimate of Y will be –
(a) 1.98
(b) 9
(c) 2.6
(d) 16
13. 𝑥̅ = 53, 𝑦̅= 28, b (Y on X) = -1.5, b (X on Y) = -0.2, the regression equation of X on Y will
be:
(a) X = 58.6 – 0.2Y
(b) X = 107.5 – Y
(c) Both
(d) None
14. Σ𝑋 = 120, Σ𝑌 = 432, Σ𝑋𝑌 = 4992, Σ𝑋2 = 1392, Σ𝑌2 = 18252, 𝑁 = 12, the value of
byx will be –
(a) + 0.249
(b) – 0.249
(c) +3.5
(d) -3.5
15. The coefficient of correlation between two variables x and y is 0.28. their covariance is
7.6. if the variance of x is 9, then the standard deviation of y is:
(a) 8.048
Rejection is the injection of progress.
