Kostenloser Linear Regressions Slope Rechner

Berechnen Sie den slope of a linear regression line aus summary statistics. Kostenloser statistics Rechner.

Steigung (b1)

0.8333

Slope (b1) vs Number of Data Points (n)

Formel anzeigen →

Formel

## Linear Regression Slope The slope of the least-squares regression line measures the average change in y for each one-unit increase in x. ### Formula **b1 = (n × Σxy - Σx × Σy) / (n × Σx² - (Σx)²)** This is derived by minimizing the sum of squared residuals. A positive slope indicates a positive relationship; negative slope indicates an inverse relationship.

Lösungsbeispiel

Given n=10, Σxy=3500, Σx=150, Σy=200, Σx²=2850.

  1. 01Numerator = 10(3500) - 150(200) = 35000 - 30000 = 5000
  2. 02Denominator = 10(2850) - 150² = 28500 - 22500 = 6000
  3. 03b1 = 5000 / 6000 = 0.8333