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CA Foundation Correlation and Regression — practice questions — page 3

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 61–84 of 84.

In simple linear regression with an intercept, r squared equals what?Read the answer and worked solution →Who is credited with creating the coefficient of determination in 1921?Read the answer and worked solution →An R squared of 1 indicates what about the regression predictions?Read the answer and worked solution →When extra variables are added under ordinary least squares, R squared does what?Read the answer and worked solution →Adjusted R squared differs from R squared because it does what to extra variables?Read the answer and worked solution →A high R squared does not show that the independent variables do what?Read the answer and worked solution →If Cov(x, y) = 12, SD of x = 3 and SD of y = 5, what is r?Read the answer and worked solution →If Cov(x, y) = -18 and both standard deviations are 6, find r.Read the answer and worked solution →The sums of squares Sxx = 36 and Syy = 25 and the sum of products Sxy = 24. Find r.Read the answer and worked solution →With Sxy = 24 and Sxx = 30, what is the regression coefficient of y on x?Read the answer and worked solution →If r = 0.8 between two variables, what share of variation does the regression explain?Read the answer and worked solution →A simple regression has R squared of 0.49 and a rising line. What is r?Read the answer and worked solution →The regression coefficients are byx = 0.9 and bxy = 0.4. Find r.Read the answer and worked solution →Which pair of regression coefficients (byx, bxy) cannot occur together?Read the answer and worked solution →The mean of x is 10, the mean of y is 20 and byx is 2. Estimate y when x is 12.Read the answer and worked solution →The regression lines are 8x - 10y + 66 = 0 and 40x - 18y = 214. Find the mean of y.Read the answer and worked solution →Ranks of five students in two tests give a sum of squared rank differences of 4. Find Spearman's rho.Read the answer and worked solution →For ten items the sum of squared rank differences is 33. Find the rank correlation.Read the answer and worked solution →Two judges give identical rankings to four contestants. What is the rank correlation?Read the answer and worked solution →Judge A ranks 1,2,3,4,5 and judge B ranks the same entrants 2,1,4,3,5. Find rho.Read the answer and worked solution →Which correlation shows the strongest linear relationship?Read the answer and worked solution →All points satisfy y = 3 - 2x exactly. What is the value of r?Read the answer and worked solution →Which statement about r is always true?Read the answer and worked solution →Unlike covariance, the correlation coefficient has what property?Read the answer and worked solution →

Worked practice questions

In simple linear regression with an intercept, r squared equals what?

  1. Twice the slope
  2. Square of the r value
  3. Root of the slope
  4. Variance of residuals
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Correct answer: B. Square of the r value

With one predictor and an intercept, the coefficient of determination is simply r multiplied by itself.

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Who is credited with creating the coefficient of determination in 1921?

  1. Karl Pearson
  2. Francis Galton
  3. Charles Spearman
  4. Sewall Wright
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Correct answer: D. Sewall Wright

The geneticist Sewall Wright first published it in 1921.

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An R squared of 1 indicates what about the regression predictions?

  1. They fit the data perfectly
  2. They are all equal to zero
  3. They are unbiased but weak
  4. They fit the data worst
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Correct answer: A. They fit the data perfectly

An R squared of 1 means every observation is predicted exactly by the model.

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More Quantitative Aptitude topics

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