Correlation & Linear Regression

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What is correlation?

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Correlation is a statistical measure that describes the extent to which two variables change together. It can be positive, negative, or zero.

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CCSS.HSS.ID.C.9

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What does a correlation coefficient (r) of 0.3 indicate?

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A correlation coefficient of 0.3 indicates a weak positive correlation between the two variables.

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CCSS.HSS.ID.B.5

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What does a correlation coefficient (r) of -0.98 indicate?

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A correlation coefficient of -0.98 indicates a strong negative correlation between the two variables.

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CCSS.HSS.ID.B.5

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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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CCSS.8.SP.A.1

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What does a positive relationship in a scatter plot mean?

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A positive relationship means that as one variable increases, the other variable also tends to increase.

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CCSS.HSF.LE.B.5

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What does a negative relationship in a scatter plot mean?

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A negative relationship means that as one variable increases, the other variable tends to decrease.

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CCSS.HSF.LE.B.5

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What does it mean if there is no relationship in a scatter plot?

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If there is no relationship, the points on the scatter plot do not show any discernible pattern or trend.

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CCSS.HSF-LE.A.1B

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How can you determine the strength of a correlation?

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The strength of a correlation can be determined by the absolute value of the correlation coefficient (r). Values closer to 1 or -1 indicate stronger correlations.

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CCSS.HSS.ID.B.5

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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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CCSS.8.SP.A.2

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What is the purpose of the line of best fit in linear regression?

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The line of best fit minimizes the distance between the line and all the data points, providing the best estimate of the relationship between the variables.

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CCSS.8.SP.A.2