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Linear Regression Calculator

Calculate the linear regression equation using the least squares method. Enter your summary statistics to find the slope, y-intercept, R-squared value, and make predictions.

Linear regression finds the best-fit straight line through a set of data points.

Formulas

  • Slope: m = (nΣxy - ΣxΣy) / (nΣx² - (Σx)²)
  • Intercept: b = (Σy - mΣx) / n
  • R² measures how well the line fits the data (0 = no fit, 1 = perfect fit)

Interpretation

  • m > 0: positive relationship (y increases as x increases)
  • m < 0: negative relationship
  • R² > 0.7: strong fit
  • R² < 0.3: weak fit

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