What does the coefficient in a linear regression model represent?
Practice Questions
1 question
Q1
What does the coefficient in a linear regression model represent?
The strength of the relationship between variables
The predicted value of the dependent variable
The error in predictions
The number of features in the model
The coefficient in a linear regression model represents the strength and direction of the relationship between the independent variable and the dependent variable.
Questions & Step-by-step Solutions
1 item
Q
Q: What does the coefficient in a linear regression model represent?
Solution: The coefficient in a linear regression model represents the strength and direction of the relationship between the independent variable and the dependent variable.
Steps: 6
Step 1: Understand that a linear regression model is used to predict a value (dependent variable) based on another value (independent variable).
Step 2: Identify the independent variable, which is the input or predictor in the model.
Step 3: Identify the dependent variable, which is the output or the value we want to predict.
Step 4: Learn that the coefficient is a number that shows how much the dependent variable changes when the independent variable changes by one unit.
Step 5: Recognize that a positive coefficient means that as the independent variable increases, the dependent variable also increases.
Step 6: Understand that a negative coefficient means that as the independent variable increases, the dependent variable decreases.