Linear Regression Calculator
Free linear regression calculator. Find slope, intercept, correlation coefficient, R-squared, and make predictions. Includes scatter plot visualization.
| # | X | Y | Action |
|---|---|---|---|
| 1 | 1 | 2 | |
| 2 | 2 | 4 | |
| 3 | 3 | 5 | |
| 4 | 4 | 4 | |
| 5 | 5 | 5 |
5 data points
y = 0.6x + 2.2
0.6
± 0.282843
2.2
± 0.938083
0.774597
Moderate positive
0.6
60.0% variance explained
3
4
0.894427
2.4
Predict Y from X
Scatter Plot with Regression Line
Data Points
Regression Line
Linear Regression Formulas
Slope (m): m = Σ(x-x̄)(y-ȳ) / Σ(x-x̄)²
Intercept (b): b = ȳ - m·x̄
Correlation (r): r = Σ(x-x̄)(y-ȳ) / √[Σ(x-x̄)²·Σ(y-ȳ)²]
R-squared: R² = r²
Prediction: ŷ = mx + b
Interpreting Results
Slope: For each unit increase in X, Y changes by the slope value
Intercept: The predicted Y value when X = 0
R² (Coefficient of Determination):
- 0.9 - 1.0: Very strong fit
- 0.7 - 0.9: Strong fit
- 0.5 - 0.7: Moderate fit
- 0.3 - 0.5: Weak fit
- 0.0 - 0.3: Very weak fit
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