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 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 does 'r' represent in correlation?

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'r' represents the correlation coefficient, which measures the strength and direction of a linear relationship between two variables.

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CCSS.HSS.ID.C.8

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What is the range of the correlation coefficient 'r'?

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'r' ranges from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation.

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CCSS.HSS.ID.C.8

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What does an 'r' value of 0.3 indicate?

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An 'r' value 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 an 'r' value of -0.8 indicate?

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An 'r' value of -0.8 indicates a strong negative correlation between the two variables.

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CCSS.HSS.ID.B.5

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What is the purpose of a scatter plot in linear regression?

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A scatter plot visually represents the relationship between two variables, helping to identify patterns, trends, and correlations.

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CCSS.8.SP.A.1

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What does it mean if a scatter plot shows no correlation?

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If a scatter plot shows no correlation, it means there is no discernible relationship between the two variables.

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CCSS.HSF-LE.A.1B

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What is the equation of a simple linear regression line?

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The equation of a simple linear regression line is y = mx + b, where m is the slope and b is the y-intercept.

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CCSS.8.EE.B.5