Standard Error of Slope Calculator

Author: Neo Huang
Review By: Nancy Deng
LAST UPDATED: 2024-10-02 22:22:47
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The standard error of the slope is a statistical measure that indicates the accuracy of the slope estimate in a regression analysis. It helps determine how closely the estimated slope reflects the true slope in the population. The formula for calculating the standard error of the slope is:

\[ SE(b) = \frac{\sqrt{\sum e^2 / (n - 2)}}{\sqrt{\sum X^2}} \]

Where:

  • \( \sum e^2 \) is the sum of squared errors.
  • \( n \) is the number of data points.
  • \( \sum X^2 \) is the sum of squared X values.

Understanding the standard error helps in making informed conclusions about the relationship between variables.