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.

Tags

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 represents the rate of change of the dependent variable for each unit change in the independent variable.

Tags

CCSS.8.EE.B.5

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What is the formula for a simple linear regression?

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The formula is y = mx + b, where m is the slope, b is the y-intercept, x is the independent variable, and y is the dependent variable.

Tags

CCSS.8.EE.B.5

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How do you interpret the y-intercept in a linear regression equation?

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

Tags

CCSS.HSF.LE.B.5

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What is the purpose of a trend line in a scatter plot?

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A trend line is used to represent the general direction of the data points and to make predictions about future values.

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What does a positive correlation indicate in a scatter plot?

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A positive correlation indicates that as one variable increases, the other variable also tends to increase.

Tags

CCSS.HSS.ID.B.5

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What does a negative correlation indicate in a scatter plot?

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A negative correlation indicates that as one variable increases, the other variable tends to decrease.

Tags

CCSS.HSS.ID.B.5

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What does it mean if there is no correlation between two variables?

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No correlation means that there is no predictable relationship between the two variables; changes in one do not affect the other.

Tags

CCSS.HSS.ID.B.5

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How can you calculate the linear regression equation from a data set?

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You can calculate the linear regression equation using statistical software or by applying the least squares method to minimize the sum of the squares of the residuals.

Tags

CCSS.8.SP.A.2

Front

What is the significance of the R-squared value in linear regression?

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The R-squared value indicates the proportion of the variance in the dependent variable that can be explained by the independent variable(s).

Tags

CCSS.HSS.ID.B.6B