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# 11.4: Regression Analysis

TABLE OF
CONTENTS

### 11.4: Regression Analysis

Regression analysis is a statistical tool that describes a mathematical relationship between a dependent variable and one or more independent variables.

In regression analysis, a regression equation is determined based on the line of best fit– a line that best fits the data points plotted in a graph. This line is also called the regression line. The algebraic equation for the regression line is called the regression equation. It is represented as:

In the equation,  is the dependent variable, x is the independent variable, b0 is the y-intercept, and b1 is the slope of the regression line.  is the estimated value of y. It is the value of y obtained using the regression line. It is not generally equal to y from data.

The regression equation can be used to calculate the dependent variable for a specific value of the independent variable.

This text is adapted from Openstax, Introductory Statistics, Section 12.3 The Regression Equation.

#### Tags

Regression Analysis Statistical Tool Dependent Variable Independent Variable Line Of Best Fit Regression Equation Regression Line Y-intercept Slope Estimated Value Of Y Specific Value Of The Independent Variable

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