Linear Regression Flashcard

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 correlation coefficient (r) indicate?

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The correlation coefficient (r) measures the strength and direction of a linear relationship between two variables, ranging from -1 (perfect negative correlation) to +1 (perfect positive correlation).

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CCSS.HSS.ID.C.8

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What does a weak negative correlation mean?

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A weak negative correlation indicates that as one variable increases, the other variable tends to decrease slightly, but the relationship is not strong.

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CCSS.HSS.ID.B.5

Front

What is the equation of the line of best fit?

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The equation of the line of best fit is a linear equation that best represents the data points in a scatter plot, typically expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.5

Front

How do you calculate the slope (m) in linear regression?

Back

The slope (m) in linear regression is calculated using the formula: m = (NΣ(xy) - ΣxΣy) / (NΣ(x^2) - (Σx)^2), where N is the number of data points.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the y-intercept (b) in a linear equation?

Back

The y-intercept (b) is the value of the dependent variable when the independent variable is zero, representing the starting point of the line on the y-axis.

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CCSS.8.EE.B.6

CCSS.8.F.A.3

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What does it mean if r = 0?

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If r = 0, it indicates that there is no linear correlation between the two variables, meaning changes in one variable do not predict changes in the other.

Tags

CCSS.HSS.ID.B.5

Front

What is a scatter plot?

Back

A scatter plot is a graphical representation of two variables, showing the relationship between them by displaying data points on a Cartesian plane.

Tags

CCSS.8.SP.A.1

Front

What does a strong positive correlation indicate?

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A strong positive correlation indicates that as one variable increases, the other variable also increases, and the relationship is close to a straight line.

Tags

CCSS.HSS.ID.B.5

Front

What is the purpose of linear regression analysis?

Back

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