Recent

  • Show all results for ""

🎧 New: AI-Generated Podcasts Turn your study notes into engaging audio conversations. Learn more

Partial Correlation and Confounding Variables
10 Questions
2 Views

Partial Correlation and Confounding Variables

Created by
@HeavenlyRiver

Podcast Beta

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What does partial correlation measure in probability theory and statistics?

  • The standard deviation of a sample
  • The degree of association between two random variables, with the effect of controlling variables removed (correct)
  • The absolute strength of the relationship between two random variables
  • The variance of a single random variable

    • What problem does using a partial correlation coefficient aim to avoid?

  • Underestimating the effect size
  • Overfitting the data
  • Ignoring outliers in the data
  • Misleading results caused by uncontrolled confounding variables (correct)

    • Why might using the correlation coefficient alone give misleading results?

  • If the sample size is too small
  • If there is another confounding variable that is numerically related to both variables of interest (correct)
  • If there is no linear relationship between the variables
  • If the correlation coefficient is negative

    • In what context would failing to control for wealth when computing a correlation coefficient between consumption and income lead to misleading results?

    <p>When income might be numerically related to wealth which in turn might be numerically related to consumption</p> Signup and view all the answers

    What does multiple regression provide unbiased results for, but does not give a numerical value for?

    <p>The effect size</p> Signup and view all the answers

    What is the range of possible values for the correlation coefficient?

    <p>-1 to 1</p> Signup and view all the answers

    What does a correlation coefficient close to +1 indicate?

    <p>A strong positive linear relationship</p> Signup and view all the answers

    In algebraic notation, how is the correlation coefficient calculated for two variables x and y?

    <p>$r = \frac{\sum_{i=1}^{n}(x_i - \bar{x})(y_i - \bar{y})}{\sqrt{\sum_{i=1}^{n}(x_i - \bar{x})^2}\sqrt{\sum_{i=1}^{n}(y_i - \bar{y})^2}}$</p> Signup and view all the answers

    What does a correlation coefficient close to -1 indicate?

    <p>A strong negative linear relationship</p> Signup and view all the answers

    What does the scatter diagram reveal about the strength of the linear relationship between two variables?

    <p>The closer the points lie to a straight line, the stronger the linear relationship.</p> Signup and view all the answers

    More Quizzes Like This

    Probability Theory &amp; Statistics Conventions Quiz
    10 questions

    Probability Theory &amp; Statistics Conventions Quiz

    SilentEmerald avatar
    SilentEmerald
    Probability Theory in Statistics Quiz
    12 questions

    Probability Theory in Statistics Quiz

    ScenicCosecant avatar
    ScenicCosecant
    CS 2203 Statistics and Probability Theory Quiz
    10 questions

    CS 2203 Statistics and Probability Theory Quiz

    SteadfastHope avatar
    SteadfastHope
    Statistics: Elementary Probability Theory
    18 questions

    Statistics: Elementary Probability Theory

    SensibleSetting avatar
    SensibleSetting
    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser