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CA Foundation Correlation and Regression — practice questions

Explore 84 free Correlation and Regression questions in CA Foundation Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Correlation and Regression questions and exercises with answers

Showing questions 1–30 of 84.

If r = +1, the correlation isRead the answer and worked solution →If r = -1, the correlation isRead the answer and worked solution →Coefficient of correlation between x and y is symmetric, meaningRead the answer and worked solution →If the regression coefficient of y on x is byx, then the slope of regression line y on x isRead the answer and worked solution →If r = 0, the two variables areRead the answer and worked solution →If byx = 0.8 and bxy = 0.5, then r equalsRead the answer and worked solution →If r = 0.8, sigma_x = 4, sigma_y = 5, then byx equalsRead the answer and worked solution →If r = 0.6, sigma_x = 3, sigma_y = 5, then bxy equalsRead the answer and worked solution →If r = 0 and sigma_x, sigma_y are non-zero, thenRead the answer and worked solution →If the rank correlation coefficient is 0.6 and number of pairs is 10, sum of squared rank differences equalsRead the answer and worked solution →If sum of x = 50, sum of y = 80, n = 10, then mean of x and y areRead the answer and worked solution →If r = 0.5 and sigma_y = 6, sigma_x = 4, the regression line y on x has slopeRead the answer and worked solution →If two regression equations are 3x + 2y = 26 and 6x + y = 31, the means xbar, ybar areRead the answer and worked solution →If r = 0.6 and one regression coefficient is 0.9, the other regression coefficient isRead the answer and worked solution →Pearson's r changes sign whenRead the answer and worked solution →If n = 5, sum xy = 80, sum x = 15, sum y = 20, then cov(x, y) equalsRead the answer and worked solution →Karl Pearson's r requiresRead the answer and worked solution →In two regression lines, if byx = 0.9 and bxy = 0.4, the angle between them isRead the answer and worked solution →Pearson's r between x = 1, 2, 3 and y = 2, 4, 6 isRead the answer and worked solution →Two regression lines are perpendicular whenRead the answer and worked solution →Spearman's rank correlation for ranks (1,2,3) and (3,2,1) of three subjects isRead the answer and worked solution →Coefficient of determination r^2 of 0.81 means proportion of variation explained equalsRead the answer and worked solution →If r = 0.8, byx = 0.4, then bxy equalsRead the answer and worked solution →If x = 5y + 10 is the regression of x on y, then bxy equalsRead the answer and worked solution →If byx = 1.6 and bxy = 0.4, the value of r isRead the answer and worked solution →If r = -0.7 and sigma_y = 10, sigma_x = 5, then byx equalsRead the answer and worked solution →What does Pearson's correlation coefficient measure for two sets of data?Read the answer and worked solution →Pearson's r is the covariance of two variables divided by which quantity?Read the answer and worked solution →Which person developed the Pearson correlation coefficient from Galton's idea?Read the answer and worked solution →Who first derived and published the formula behind Pearson's r, in 1844?Read the answer and worked solution →

Worked practice questions

If r = +1, the correlation is

  1. Weak positive
  2. Perfect negative
  3. Perfect positive
  4. No correlation
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Correct answer: C. Perfect positive

1. The value of r measures linear association. 2. r = +1 implies all points lie exactly on a line with positive slope. 3. This is called perfect positive correlation. 4. So the answer is 'perfect positive'. _Source: ICAI BoS Foundation Paper 3, Ch 17 'Correlation', p.5_

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If r = -1, the correlation is

  1. Zero correlation
  2. Perfect negative
  3. Weak negative
  4. Perfect positive
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Correct answer: B. Perfect negative

1. r ranges over [-1, +1] for linear correlation. 2. r = -1 implies all points lie on a line with negative slope. 3. This is called perfect negative correlation. 4. So the answer is 'perfect negative'. _Source: ICAI BoS Foundation Paper 3, Ch 17 'Correlation', p.5_

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Coefficient of correlation between x and y is symmetric, meaning

  1. r(x, y) = -r(y, x)
  2. r is always zero
  3. r is always positive
  4. r(x, y) = r(y, x)
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Correct answer: D. r(x, y) = r(y, x)

1. The Pearson formula has Sxy symmetric: cov(x, y) = cov(y, x). 2. Sx and Sy enter symmetrically in the denominator. 3. So r(x, y) equals r(y, x). 4. Hence correlation is symmetric. _Source: ICAI BoS Foundation Paper 3, Ch 17 'Correlation', p.4_

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More Quantitative Aptitude topics

Quantitative MethodsTime Value of MoneyRatio and Proportion, Indices and LogarithmsSets, Relations and FunctionsMeasures of Central Tendency and DispersionStatistical Representation of Data and SamplingSequence and SeriesNumber Series, Coding and Decoding