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CA Foundation Correlation and Regression — practice questions — page 2

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 31–60 of 84.

A correlation coefficient of exactly zero means which of the following?Read the answer and worked solution →If every data point lies exactly on a rising straight line, what is r?Read the answer and worked solution →What does r = -1 tell us about the plotted data points?Read the answer and worked solution →When is the correlation between X and Y positive?Read the answer and worked solution →A correlation of 0.8 is judged how in different fields of study?Read the answer and worked solution →If two variables are independent, what must be true of their correlation?Read the answer and worked solution →Two variables have zero correlation. Which conclusion is justified?Read the answer and worked solution →Pearson's coefficient is sensitive only to which kind of relationship?Read the answer and worked solution →If X is changed to a + bX and Y to c + dY with b and d positive, r does what?Read the answer and worked solution →Which of these is a rank correlation coefficient?Read the answer and worked solution →If one variable rises while the other falls, rank correlation coefficients are what?Read the answer and worked solution →Which pair shows a correlation whose cause is fairly transparent?Read the answer and worked solution →Spearman's rank correlation coefficient is usually denoted by which letter?Read the answer and worked solution →Spearman's coefficient is classed as what kind of measure?Read the answer and worked solution →Spearman's correlation equals Pearson's correlation computed on which values?Read the answer and worked solution →Pearson's correlation assesses linear relationships. What does Spearman's assess?Read the answer and worked solution →Spearman's coefficient suits which kinds of variables?Read the answer and worked solution →A perfect Spearman correlation results when X and Y are related by what?Read the answer and worked solution →Which term was coined by Francis Galton to describe heights of descendants of tall ancestors?Read the answer and worked solution →Galton noticed heights of descendants of tall ancestors tend to move toward what?Read the answer and worked solution →The method of least squares was published by Legendre in 1805 and by whom in 1809?Read the answer and worked solution →Legendre and Gauss first applied least squares to which kind of problem?Read the answer and worked solution →Simple linear regression has how many explanatory variables?Read the answer and worked solution →In ordinary least squares, the fitted line makes which quantity as small as possible?Read the answer and worked solution →A residual in regression is the vertical distance between what two things?Read the answer and worked solution →The least squares regression slope equals the correlation corrected by which ratio?Read the answer and worked solution →The least squares line is forced to pass through which point?Read the answer and worked solution →Predicting Y for an X inside the range of the fitted data is called what?Read the answer and worked solution →Prediction intervals expand rapidly when the X value moves where?Read the answer and worked solution →What does the coefficient of determination R squared represent?Read the answer and worked solution →

Worked practice questions

A correlation coefficient of exactly zero means which of the following?

  1. No linear dependency
  2. Perfect linear fit
  3. Perfect inverse link
  4. No dependency of any kind
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Correct answer: A. No linear dependency

Zero shows only the absence of a linear relationship; a curved relationship may still exist.

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If every data point lies exactly on a rising straight line, what is r?

  1. Zero
  2. Plus one
  3. Minus one
  4. Half
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Correct answer: B. Plus one

An exact linear fit with Y increasing as X increases gives r equal to +1.

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What does r = -1 tell us about the plotted data points?

  1. They are scattered apart
  2. They are all identical
  3. They lie on a falling line
  4. They form a perfect circle
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Correct answer: C. They lie on a falling line

A value of -1 means all points sit on a falling straight line.

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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