common.theory.example1
\(\text{Points: } (1,2), (2,4), (3,5), (4,4), (5,5) \rightarrow y = 0.6x + 2.2, R^2 = 0.64\)
Linear Regression
Perform linear regression analysis with correlation and prediction
Results
Enter values and click Calculate to see the result.
common.theory.linearRegression
common.theory.linearRegressionDescription
- Slope (m): common.theory.slopeDescription
- Intercept (b): common.theory.interceptDescription
- R²: common.theory.rSquaredDescription
- Correlation (r): common.theory.correlationDescription
common.theory.regressionLineExplanation
\(y = mx + b, m = \frac{n\sum xy - \sum x \sum y}{n\sum x^2 - (\sum x)^2}, b = \bar{y} - m\bar{x}\)
Worked Examples
common.theory.example2
\(\text{Study hours vs test scores} \rightarrow \text{Find relationship and predict outcomes}\)