Regression Techniques for Every Analysis

From simple linear relationships to complex multi-variable models, regression analysis reveals the mathematical relationships that drive your business outcomes and enables accurate predictions.

01

Linear Regression

Simple relationships between two variables

Analyze straight-line relationships between variables. Perfect for understanding how one factor influences another - like sales vs. marketing spend or price vs. demand.

Linear Regression: Sales vs Marketing Spend
0.847
R-squared
2.4x
Revenue Multiple
95%
Prediction Accuracy
$1,847
Predicted Revenue
Linear Regression + Least Squares
02

Multiple Regression

Complex relationships with multiple factors

Analyze how multiple independent variables simultaneously influence your target outcome. Understand the relative importance of different factors and their combined effect.

Multiple Regression: Sales Performance Model
Marketing Spend
2.4
Primary driver
Team Size
1.8
Strong impact
Support Rating
0.9
Moderate effect
Multiple Linear Regression + Variable Selection
03

Logistic Regression

Predict binary outcomes and probabilities

Analyze yes/no, success/failure, or other binary outcomes. Calculate probability of events and identify factors that influence categorical results.

Logistic Regression: Customer Churn Prediction
87%
Classification Accuracy
0.23
Churn Probability
0.82
Model AUC
347
At-Risk Customers
Logistic Regression + Maximum Likelihood
04

Polynomial Regression

Capture curved and non-linear relationships

Model curved relationships where the effect of variables changes at different levels. Perfect for growth curves, diminishing returns, and accelerating effects.

Polynomial Regression: Product Adoption Curve
Linear
0.67
Basic fit
Quadratic
0.89
Best fit
Cubic
0.92
Overfitting risk
Polynomial Regression + Degree Selection
05

Ridge Regression

Regularized regression for stable predictions

Handle multicollinearity and prevent overfitting with regularization. Ideal when you have many correlated variables or limited data relative to features.

Ridge Regression: Feature Regularization
0.23
Lambda Parameter
0.84
Cross-Validation Score
47%
Coefficient Shrinkage
92%
Prediction Stability
Ridge Regression + L2 Regularization
06

Lasso Regression

Automatic feature selection and sparse models

Automatically select the most important features while setting others to zero. Perfect for high-dimensional data where you need to identify key drivers.

Lasso Regression: Feature Selection Results
Marketing
2.4
Selected
Team Size
1.8
Selected
Support
0.9
Selected
Other
0.0
Removed
Lasso Regression + L1 Regularization
07

Stepwise Regression

Systematic variable selection process

Systematically add or remove variables based on statistical significance. Build parsimonious models that include only the most meaningful predictors.

Stepwise Regression: Variable Selection Process
3
Variables Added
2
Variables Removed
0.05
Significance Level
847.3
Final AIC Score
Stepwise Regression + AIC/BIC Selection
08

Time Series Regression

Regression with temporal dependencies

Analyze time-dependent relationships while accounting for trends, seasonality, and autocorrelation. Perfect for forecasting with external predictors.

Time Series Regression: Sales Forecast
$847K
Historical Average
$923K
Current Month
$1.02M
Next Month Forecast
Time Series Regression + Autocorrelation

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