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11.4: Regression Analysis

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Regression Analysis

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, Equation1 is the dependent variable, x is the independent variable, b0 is the y-intercept, and b1 is the slope of the regression line. Equation1 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.


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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