Animated Linear Regression
Regression Equation
y = 0.0000 × x + 0.0000
Total Error (Sum of Squared Residuals): 0.0000
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How the Best Fit Line Works
1. Calculate mean of X and Y - Find the "center" of the data.
2. Calculate slope - Using the formula: slope = Σ(x-x̄)(y-ȳ) / Σ(x-x̄)²
3. Calculate y-intercept - Using the formula: intercept = ȳ - slope × x̄
4. Minimize residuals - The green dotted lines show the errors (distances) between actual and predicted values.
5. Sum of squared errors - The optimal line minimizes the sum of these squared errors.
Data Points
X
Y
1
3
2
5
3
4
4
7
5
8