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What is the assumption of linearity in linear regression?

Practice Questions

Q1
What is the assumption of linearity in linear regression?
  1. The relationship between the independent and dependent variables is linear
  2. The residuals are normally distributed
  3. The independent variables are uncorrelated
  4. The dependent variable is categorical

Questions & Step-by-Step Solutions

What is the assumption of linearity in linear regression?
  • Step 1: Understand that linear regression is a method used to predict a value based on another value.
  • Step 2: Identify the two types of variables involved: independent variable (the one you change) and dependent variable (the one you measure).
  • Step 3: Know that the assumption of linearity means that when you change the independent variable, the dependent variable should change in a straight-line manner.
  • Step 4: Visualize this relationship as a straight line on a graph, where one variable is on the x-axis and the other is on the y-axis.
  • Step 5: Remember that if the relationship is not a straight line (like a curve), then the assumption of linearity is violated.
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