Regression

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What is regression?

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Regression is a statistical method used to determine the relationship between a dependent variable and one or more independent variables.

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What does a positive correlation indicate?

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A positive correlation 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 negative correlation indicate?

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A negative correlation 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 the correlation coefficient (r)?

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The correlation coefficient (r) is a numerical measure of 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 an r value of 0 indicate?

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An r value of 0 indicates no correlation between the two variables.

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CCSS.HSS.ID.B.5

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What does an r value of 1 indicate?

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An r value of 1 indicates a perfect positive correlation between the two variables.

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CCSS.HSS.ID.B.5

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What does an r value of -1 indicate?

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An r value of -1 indicates a perfect negative correlation between the two variables.

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CCSS.HSS.ID.B.5

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What is the line of best fit?

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The line of best fit is a straight line that best represents the data on a scatter plot, minimizing the distance between the line and all data points.

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CCSS.8.EE.B.5

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How do you interpret a strong positive correlation?

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A strong positive correlation (e.g., r = 0.85) suggests that there is a strong relationship where increases in one variable are associated with increases in the other variable.

Tags

CCSS.HSS.ID.B.5

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What is the purpose of regression analysis?

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The purpose of regression analysis is to predict the value of a dependent variable based on the values of one or more independent variables.