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 general form of a linear regression equation?

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The general form is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.5

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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.

Tags

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.

Tags

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 statistical measure that describes the strength and direction of a relationship between two variables.

Tags

CCSS.HSS.ID.C.8

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What does an r value of -0.89 indicate?

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An r value of -0.89 indicates a strong negative correlation between the two variables.

Tags

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.

Tags

CCSS.HSS.ID.B.5

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What is the y-intercept in a linear regression equation?

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The y-intercept is the value of y when the independent variable x is 0.

Tags

CCSS.HSF.LE.B.5

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How do you interpret the slope of the equation y = 61.93x - 1.79?

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The slope of 61.93 means that for every additional hour of driving, the distance driven increases by 61.93 miles.

Tags

CCSS.8.EE.B.5