Linear Regression Practice

Front

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 the slope of a linear regression line represent?

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The slope represents the rate of change of the dependent variable for each unit change in the independent variable.

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What is the y-intercept in a linear equation?

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

Front

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 purpose of the least squares method in linear regression?

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The least squares method minimizes the sum of the squares of the residuals, which are the differences between observed and predicted values.

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What does R-squared represent in linear regression?

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R-squared is a statistical measure that represents the proportion of the variance for the dependent variable that's explained by the independent variable(s) in the model.

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What is a residual in the context of linear regression?

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A residual is the difference between the observed value and the predicted value of the dependent variable.

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What is the equation of a linear regression line?

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

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What does it mean if a graph shows no association between variables?

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It means that changes in one variable do not predict changes in the other variable.