What is the role of the intercept in a linear regression equation?

Practice Questions

Q1
What is the role of the intercept in a linear regression equation?
  1. It represents the slope of the line
  2. It is the predicted value when all predictors are zero
  3. It indicates the strength of the relationship
  4. It is not relevant in linear regression

Questions & Step-by-Step Solutions

What is the role of the intercept in a linear regression equation?
  • Step 1: Understand that a linear regression equation predicts a value based on other values.
  • Step 2: Identify the dependent variable, which is the outcome we want to predict.
  • Step 3: Recognize the independent variables, which are the factors that influence the dependent variable.
  • Step 4: The intercept is a specific value in the equation, usually represented as 'b0'.
  • Step 5: The intercept tells us what the predicted value of the dependent variable is when all independent variables are set to zero.
  • Step 6: For example, if the intercept is 5, it means that when all independent variables are zero, the predicted value of the dependent variable is 5.
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