Assumptions and Process of Linear Regression Models
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Questions and Answers

Which of the following is a key assumption for performing simple linear regression?

  • The deviation of each data point from the regression line is dependent on the deviation of the other data points
  • There is a linear relationship between the predictor and outcome variable (correct)
  • The outcome variable must be categorical
  • The variation around the regression line is not constant

    • What does homoscedasticity refer to in the context of linear regression assumptions?

  • The variation around the regression line is not constant
  • There is no relationship between the predictor and outcome variable
  • The variation around the regression line is constant (correct)
  • The outcome variable must be binary

    • What does it mean when it is said that outliers can substantially reduce the correlation in linear regression?

  • Outliers have an inverse relationship with correlation
  • Outliers have no impact on the correlation
  • Outliers increase the correlation
  • Outliers decrease the correlation (correct)

    • What type of plot is used to assess the distributional similarity between a dataset and a theoretical distribution?

    <p>Q-Q plot</p> Signup and view all the answers

    What should be the distribution of both dependent and independent variables in linear regression?

    <p>Both dependent and independent variables should be normally distributed</p> Signup and view all the answers

    What is a key assumption for performing simple linear regression?

    <p>The outcome variable must be continuous</p> Signup and view all the answers

    What does homoscedasticity refer to in the context of linear regression assumptions?

    <p>The variation around the regression line is constant</p> Signup and view all the answers

    What type of plot is used to assess the distributional similarity between a dataset and a theoretical distribution?

    <p>Q-Q plot</p> Signup and view all the answers

    What should be the distribution of both dependent and independent variables in linear regression?

    <p>Both must be normally distributed</p> Signup and view all the answers

    What does it mean when it is said that outliers can substantially reduce the correlation in linear regression?

    <p>Outliers can distort the relationship between variables and lead to misleading results</p> Signup and view all the answers

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