AP Statistics Linear Regression

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What is linear regression?

Back

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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CCSS.8.SP.A.2

Front

What does the slope of a regression line represent?

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The change in the dependent variable for a one-unit increase in the independent variable.

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CCSS.HSF.LE.B.5

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What is the purpose of a residual plot?

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To assess the fit of a regression model by plotting the residuals (differences between observed and predicted values) against the independent variable.

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CCSS.HSS.ID.B.6B

Front

What does a correlation coefficient (r) indicate?

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The strength and direction of a linear relationship between two variables, ranging from -1 to 1.

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CCSS.HSS.ID.C.8

Front

What does r² represent in regression analysis?

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The proportion of the variance in the dependent variable that is predictable from the independent variable(s).

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CCSS.HSS.ID.B.6B

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What is the significance of a residual value?

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It indicates how far off a predicted value is from the actual observed value.

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CCSS.HSS.ID.B.6B

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What does it mean if the residual plot shows a random scatter?

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It suggests that a linear model is appropriate for the data.

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CCSS.HSS.ID.B.6B

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What is the interpretation of a positive correlation coefficient?

Back

As one variable increases, the other variable tends to also increase.

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CCSS.HSS.ID.B.5

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What is the interpretation of a negative correlation coefficient?

Back

As one variable increases, the other variable tends to decrease.

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CCSS.HSS.ID.B.5

Front

What is the formula for the least squares regression line?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.SP.A.2