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07 May 2021: The Hindu Analysis

UPSC Current Affairs Preparation: The Hindu Analysis Watch expert analysis of ‘The Hindu’ dated 7th May 2021. Important news and views to boost... View Article

Online Dispute Resolution (ODR)

Online Dispute Resolution is the resolution of disputes, particularly small and medium-value cases, using digital technology and techniques of... View Article

National Disaster Response Fund (NDRF)

In July 2020, the Government of India had allowed any person or institution to contribute to the National Disaster Response Fund (NDRF) for the... View Article

07 May 2021: UPSC Exam Comprehensive News Analysis

CNA 7th May 2021:- Download PDF Here TABLE OF CONTENTS A. GS 1 Related B. GS 2 Related INTERNATIONAL RELATIONS 1. China halts economic dialogue... View Article

If the lines of regression of y on x and x on y make angles 30° and 60° respectively with the positive direction of the x-axis, then the correlation coefficient between x and y is

1) 1 / √2 2) 1 / 2 3) 1 / √3 4) 1 / 3 Solution: (3) 1 / √3 Slope of regression line of y on x = byx = tan 30o = 1 / √3 Slope of regression... View Article

If b_yx and b_xy are both positive regression coefficients, then

1) (1 / byx) + (1 / bxy) < (2 / r) 2) (1 / byx) + (1 / bxy) > (2 / r) 3) (1 / byx) + (1 / bxy) < (r / 2) 4) None of these Solution:... View Article

If y = m₁x + c₁ is the regression line of y on x and y = m₂x + c₂ is the regression line of x on y, then which is true?

1) m1m2 < 1 2) 0 ≤ √m1m2 ≤ 1 3) - 1 ≤ √m1 / m2 4) - 1 ≤ √m2 / m1 Solution: (3) - 1 ≤ √m1 / m2 y = m1x + c1 byx = m1 and x = (y / m2) -... View Article

If the acute angle between the two regression lines is θ, then

1) sin θ ≥ 1 - r2 2) tan θ ≥ 1 - r2 3) sin θ ≤ 1 - r2 4) tan θ ≤ 1 - r2 Solution: (3) sin θ ≤ 1 - r2 tan θ = ± {[1 - r2] / r} [𝜎 x 𝜎y / (𝜎... View Article

If x₁ and x₂ are regression coefficients and r is the coefficient of correlation, then

1) x1 - x2 > r 2) x1 + x2 < r 3) x1 + x2 ≥ 2r 4) None of these Solution: (3) x1 + x2 ≥ 2r x1 = r 𝜎y / 𝜎 x, x2 = r 𝜎x / 𝜎 y x1 + x2 = r... View Article

The coefficient of correlation between x and y is 0.6, then covariance is 16. The standard deviation of x is 4, then the standard deviation of y is

1) 5 2) 10 3) 20/3 4) None of these Solution: (3) 20/3 rxy = cov (x, y) / 𝜎 x 𝜎 y 0.6 = (16 / 4 𝜎y) 𝜎 y= 16 / [4 * 0.6] = 20 / 3... View Article

Two variables x and y are related by the linear equation ax + by + c = 0. The coefficient of correlation between the two is + 1, if

1) a is positive 2) b is positive 3) a and b both are positive 4) a and b are of opposite sign Solution: (4) a and b are of opposite sign... View Article

From a random sample space, 5 students have been selected. Their marks in Maths and Statistics are given below. The rank correlation coefficient is

1) 0.8 2) 0.6 3) 0.5 4) – 0.8 Solution: (1) 0.8 Rank in maths 2 4 3 5 1... View Article

The coefficient of correlation between two variable x and y is given by

1) r = [𝜎 x2 + 𝜎 y2 + 𝜎 x-y2] / [2 𝜎x 𝜎 y] 2) r = [𝜎 x2 + 𝜎 y2 - 𝜎 x-y2] / [2 𝜎x 𝜎 y] 3) r = [𝜎 x2 + 𝜎 y2 + 𝜎 x-y2] / [𝜎 x 𝜎 y] 4) r = [𝜎 x2 +... View Article

Which of the following two sets of regression lines are the true representative of the information from the bivariate population? I. x + 4y = 15 and y + 3x = 12, x {bar} = 3, y {bar} = 3. II. 3x + 4y = 9 and 4x + y = 1, x {bar} = – 5 / 10 and y {bar} = 30 / 13

1) Both I and II 2) II only 3) I only 4) None of these Solution: (3) I only In the second set of regression lines, the values of x {bar} and... View Article

If the angle between the two lines of regression is 90°, then it represents

1) Perfect correlation 2) Perfect negative correlation 3) No linear correlation 4) None of the above Solution: (3) No linear correlation The... View Article

If there exists a linear statistical relationship between 2 variables x and y, then the regression coefficient of y on x is where _x, _y are standard deviations of x and y respectively.

1) cov (x, y) / 𝜎 x 𝜎 y 2) cov (x, y) / 𝜎 y2 3) cov (x, y) / 𝜎 x2 4) cov (x, y) / 𝜎 x Solution: (3) cov (x, y) / 𝜎 x2 r = cov (x, y) / 𝜎 x 𝜎... View Article

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