AP®︎ Statistics: Topic 5.3 Flashcards

Master key terms and definitions for Topic 5.3 of AP Statistics – Linear Regression Models to help you prep for quizzes and the AP exam.

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Term

Slope

Definition

In a regression equation, b; the change in the predicted response ŷ for a one-unit increase in x

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Slope
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In a regression equation, b; the change in the predicted response ŷ for a one-unit increase in x

5.3.A5.3.A.2
Y-Intercept
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In a regression equation, a; the predicted response when x = 0

5.3.A5.3.A.2
Calculate A Predicted Response
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Substitute the given x-value into ŷ = a + bx and evaluate; report the result as the predicted response, not the observed y

5.3.A5.3.A.2
Interpolation
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Using a regression model to predict a response for an x-value within the observed interval of x-values used to determine the regression line; generally more defensible than extrapolation

5.3.A5.3.A.4
Extrapolation
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Using a regression model to predict a response for an x-value beyond the observed interval of x-values used to determine the regression line; the farther beyond the range, the less reliable the prediction generally is

5.3.A5.3.A.3
Linear Regression Model
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ŷ = a + bx; a linear equation that uses one quantitative explanatory variable x to predict the response variable y when the relationship appears approximately linear, where ŷ is the predicted response, a is the y-intercept, and b is the slope

5.3.A5.3.A.1