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Boundless Statistics
Correlation and Regression
Statistics Textbooks Boundless Statistics Correlation and Regression
Statistics Textbooks Boundless Statistics
Statistics Textbooks
Statistics

Section 4

The Regression Line

Book Version 1
By Boundless
Boundless Statistics
Statistics
by Boundless
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6 concepts
Slope and Intercept

In the regression line equation the constant $m$ is the slope of the line and $b$ is the $y$-intercept.

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Two Regression Lines

ANCOVA can be used to compare regression lines by testing the effect of a categorial value on a dependent variable, controlling the continuous covariate.

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Least-Squares Regression

The criteria for determining the least squares regression line is that the sum of the squared errors is made as small as possible.

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Model Assumptions

Standard linear regression models with standard estimation techniques make a number of assumptions.

Making Inferences About the Slope

The slope of the best fit line tells us how the dependent variable $y$ changes for every one unit increase in the independent variable $x$, on average.

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Regression Toward the Mean: Estimation and Prediction

Regression toward the mean says that if a variable is extreme on its 1st measurement, it will tend to be closer to the average on its 2nd.

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