What is a potential consequence of using linear regression on data with outliers

Practice Questions

Q1
What is a potential consequence of using linear regression on data with outliers?
  1. Increased accuracy of predictions
  2. Decreased interpretability of the model
  3. Bias in the estimated coefficients
  4. Improved model performance

Questions & Step-by-Step Solutions

What is a potential consequence of using linear regression on data with outliers?
  • Step 1: Understand what linear regression is. It is a method used to predict a value based on the relationship between variables.
  • Step 2: Identify what outliers are. Outliers are data points that are significantly different from other data points in the dataset.
  • Step 3: Recognize that outliers can affect the results of linear regression. They can pull the regression line towards themselves.
  • Step 4: Realize that this pulling effect can change the estimated coefficients, which are the values that represent the relationship between variables.
  • Step 5: Understand that biased coefficients can lead to inaccurate predictions, meaning the model may not perform well on new data.
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