Residuals & Causation

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What is a residual in statistics?

Back

A residual is the difference between the observed value and the predicted value from a regression model.

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CCSS.HSS.ID.B.6B

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What does causation imply in a correlation?

Back

Causation implies that one event is the result of the occurrence of another event, meaning changes in one variable directly affect another.

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CCSS.HSS.ID.C.9

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What is the slope of a linear model?

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The slope represents the rate of change of the dependent variable with respect to the independent variable.

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CCSS.8.EE.B.5

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How can you determine if a correlation implies causation?

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To determine if a correlation implies causation, consider factors such as temporal precedence, the presence of a causal mechanism, and ruling out confounding variables.

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CCSS.HSS.ID.C.9

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What is an example of a scenario that does not imply causation?

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The more the rooster crows, the more often it rains.

Tags

CCSS.HSS.ID.C.9

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What does a positive residual indicate?

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A positive residual indicates that the observed value is greater than the predicted value.

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CCSS.HSS.ID.B.6B

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What does a negative residual indicate?

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A negative residual indicates that the observed value is less than the predicted value.

Tags

CCSS.HSS.ID.B.6B

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What is the meaning of the slope in the context of Mr. Romario's salary?

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The slope indicates how much Mr. Romario spends per day.

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What does the line of best fit represent in a scatterplot?

Back

The line of best fit represents the trend in the data, minimizing the distance between the line and all data points.

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CCSS.8.SP.A.2

Front

What is the significance of the y-intercept in a linear model?

Back

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

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CCSS.HSF.LE.B.5