Statistical AnalysisIntermediate📖 6 min read

Regression Models

Predicting the future based on the past.

Key Output
R-Squared
Usage
Forecasting

Regression Analysis is a statistical method used to estimate the relationship between a dependent variable (like a stock's return) and one or more independent variables (like interest rates, GDP growth, or oil prices). The most common form is Linear Regression, which fits a straight line through data points to predict outcomes.

Simple vs. Multiple Regression

Y=α+βX+ϵY = \alpha + \beta X + \epsilon

In CAPM (Capital Asset Pricing Model), this formula describes a stock's return (Y) based on the market's return (X). Alpha (α) is the excess return, and Beta (β) is the sensitivity.

Key Takeaways

1

Basis for factor investing and risk management.

2

R-Squared measures how well the model explains the data.

3

Overfitting is a common risk in complex models.

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