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What is the regression line? Give an example of simple correlation between two variables.

What is the regression line? Give an example of simple correlation between two variables.

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Answer #1

A regression line is a line that best describes the behavior of a set of data. such that the overall distance from the line to the points plotted on a graph is the smallest. In other words, a line used to minimize the squared deviations of predictions is called as the regression line.

Correlation and regression are the most commonly used techniques for studying the relationship between two quantitative variables. Correlation quantifies the amount of strength of the linear relationship between two variables, whereas regression indicates the relationship in the form of an equation.

Example:

To study the relationship between homeless population and crime rate:

> The two variables used in this study are homeless population and crime rate.

> Both variables are measured on ratio scale.

> It is generally observed that both tend to be high or low in the same locations.

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