Linear Regression

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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 does the slope in a linear regression equation represent?

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

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What is the formula for the linear regression equation?

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CCSS.8.EE.B.5

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How do you calculate the mean of a set of numbers?

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To calculate the mean, sum all the numbers and divide by the count of numbers.

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CCSS.6.SP.B.5C

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What is the correlation coefficient?

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The correlation coefficient (r) measures 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

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What does a correlation coefficient of r = 0 indicate?

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A correlation coefficient of r = 0 indicates no linear relationship between the two variables.

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CCSS.HSS.ID.B.5

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What does a strong positive correlation look like?

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A strong positive correlation (r close to 1) indicates that as one variable increases, the other variable also tends to increase.

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CCSS.HSS.ID.B.5

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What does a strong negative correlation look like?

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A strong negative correlation (r close to -1) indicates that as one variable increases, the other variable tends to decrease.

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CCSS.HSS.ID.B.5

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What is standard deviation?

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Standard deviation is a measure of the amount of variation or dispersion in a set of values.

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How do you calculate the standard deviation of a data set?

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To calculate standard deviation, find the mean, subtract the mean from each data point, square the result, find the mean of those squared differences, and take the square root.