Linear Regression and Residuals - Using Desmos

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What is linear regression?

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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 the equation of a linear regression model look like?

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What is a residual in linear regression?

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How do you calculate a residual?

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What is the purpose of using Desmos for linear regression?

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Desmos is an online graphing calculator that allows users to visualize data, create linear regression models, and analyze the relationships between variables.

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What does the slope of a linear regression line represent?

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The slope of a linear regression line represents the rate of change of the dependent variable for each unit change in the independent variable.

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What does the y-intercept of a linear regression line indicate?

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The y-intercept indicates the expected value of the dependent variable when the independent variable is zero.

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How can you interpret a positive slope in a linear regression model?

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

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How can you interpret a negative slope in a linear regression model?

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A negative slope indicates that as the independent variable increases, the dependent variable tends to decrease.

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What is the significance of the correlation coefficient in linear regression?

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The correlation coefficient measures the strength and direction of the linear relationship between two variables, ranging from -1 to 1.