MathLiveSimple linear regression equation
Predicts the expected value of a response variable from one predictor using a straight line whose intercept and slope are estimated by least squares. It is used to summarise and forecast the linear relationship between two quantitative variables.
\hat{y}=\hat{\beta}_0+\hat{\beta}_1 xWhat the symbols mean
| predicted (fitted) value of the response variable | |
| value of the predictor variable | |
| estimated intercept, the predicted y when x is zero | |
| estimated slope, the change in predicted y per unit increase in x |
About this formula
- FieldStatistics
- TopicRegression analysis
- LevelHigh school
- Also calledsimple linear regression model, least squares line, line of best fit, regression line formula, linear regression prediction, ordinary least squares line
Write it in Obsidian
MathLive is a free visual math editor for Obsidian. Run Find a formula, type “simple linear regression equation”, and it goes into your note as editable LaTeX. You can also scan formulas from screenshots, PDFs and handwriting.