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 (B)</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 (B)</p> Signup and view all the answers

What is a key assumption for performing simple linear regression?

<p>The outcome variable must be continuous (D)</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 (B)</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 (B)</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 (C)</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 (D)</p> Signup and view all the answers

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