Front

What is Linear Regression?

Back

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

Front

What does the slope in a linear equation represent?

Back

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

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CCSS.8.EE.B.5

Front

What is the equation of a line in slope-intercept form?

Back

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

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CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

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

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CCSS.8.SP.A.1

Front

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

Back

If a scatter plot shows no relationship, it indicates that changes in one variable do not affect the other variable.

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CCSS.HSF-LE.A.1B

Front

How do you calculate the linear regression equation from data?

Back

To calculate the linear regression equation, use statistical software or methods like the least squares method to find the best-fitting line through the data points.

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What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0; it represents the starting point of the line on the y-axis.

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What is the significance of the correlation coefficient in linear regression?

Back

The correlation coefficient measures the strength and direction of the linear relationship between two variables, ranging from -1 to 1.

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CCSS.HSS.ID.C.8

Front

What does a positive slope indicate in a linear regression model?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases.

Tags

CCSS.HSF.LE.B.5

Front

What does a negative slope indicate in a linear regression model?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases.

Tags

CCSS.HSF.LE.B.5