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"What is the difference between simple linear regression and multiple regression?
A. Simple linear regression has one independent variable, while multiple regression has two or more.
B. Simple linear regression fits only one line to a scatter diagram, while multiple regression fits more than one line.
C. Multiple regression has more than one dependent variable for each independent variable."
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Answer
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Step 1I'll solve this problem step by step, explaining the key differences between simple linear regression and multiple regression:
Step 2: Understanding Simple Linear Regression
- $$\epsilon$$ is the error term
- Simple linear regression involves predicting a dependent variable using only ONE independent variable - The goal is to find the best-fitting straight line that describes the relationship between two variables Where:
Final Answer
Simple linear regression uses one independent variable to predict a dependent variable, while multiple regression uses two or more independent variables. Key Differences: 1. Number of independent variables 2. Complexity of the predictive model 3. Ability to capture more nuanced relationships between variables
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