Regression Analysis Calculator

Key Concepts

• Linear Regression: Finds best-fit line y = b₁x + b₀
• Correlation (r): Measures strength of linear relationship (-1 to 1)
• R-Squared: Proportion of variance explained by the model
• Slope (b₁): Change in y per unit change in x
• Intercept (b₀): Value of y when x = 0

Data Input

• Manual Entry: Enter x and y values as comma-separated lists
• CSV Format: Enter data as x,y pairs, one per line
• Minimum Data: At least 2 data points required
• Quality: More data points generally give better results

Interpreting Results

• r > 0.7: Strong positive correlation
• 0.3 < r < 0.7: Moderate correlation
• r < 0.3: Weak correlation
• R² = 0.8: 80% of variance explained

Applications

• Business: Sales forecasting, price analysis
• Science: Experimental data analysis, trend identification
• Economics: Market analysis, economic indicators
• Engineering: Process optimization, quality control