Linear Regression

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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 line in linear regression look like?

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What is the slope in a linear regression equation?

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The slope (m) indicates the change in the dependent variable (y) for a one-unit change in the independent variable (x).

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

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The y-intercept (b) is the value of the dependent variable (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 does it mean if a linear regression model has a slope of zero?

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A slope of zero indicates that there is no relationship between the independent and dependent variables; changes in x do not affect y.

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What is the purpose of calculating the linear regression equation?

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The purpose is to predict the value of the dependent variable based on the value of the independent variable(s) and to understand the relationship between them.

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What is a scatter plot?

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A scatter plot is a graphical representation of two variables, showing the relationship between them using points on a Cartesian plane.

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What does a positive correlation in a scatter plot indicate?

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A positive correlation indicates that as one variable increases, the other variable also tends to increase.