Linear Regression & Scatterplots

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What is linear regression?

Back

Linear regression is a statistical method used to model the relationship between a dependent variable and one or more independent variables by fitting a linear equation to observed data.

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What does a scatterplot represent?

Back

A scatterplot is a graphical representation of two variables, showing the relationship between them by displaying data points on a two-dimensional graph.

Front

What is the formula for a linear regression equation?

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The formula for a linear regression equation is typically written as y = mx + b, where m is the slope and b is the y-intercept.

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What does the slope in a linear regression equation represent?

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The slope (m) in a linear regression equation represents the rate of change of the dependent variable (y) for each unit change in the independent variable (x).

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What is the y-intercept in a linear regression equation?

Back

The y-intercept (b) in a linear regression equation is the value of y when the independent variable (x) is zero.

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How do you interpret a positive slope in a linear regression?

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A positive slope indicates that as the independent variable increases, the dependent variable also increases.

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How do you interpret a negative slope in a linear regression?

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A negative slope indicates that as the independent variable increases, the dependent variable decreases.

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What is the correlation coefficient?

Back

The correlation coefficient (r) is a statistical measure that describes the strength and direction of a relationship between two variables.

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What does a correlation coefficient of 1 indicate?

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A correlation coefficient of 1 indicates a perfect positive correlation between two variables.

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What does a correlation coefficient of -1 indicate?

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A correlation coefficient of -1 indicates a perfect negative correlation between two variables.