Linear Regression

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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.

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CCSS.8.SP.A.2

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What does the slope in a linear equation represent?

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The slope indicates 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

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What is the line of best fit?

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The line of best fit is a straight line that best represents the data on a scatter plot, minimizing the distance between the line and all data points.

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CCSS.8.EE.B.5

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What does a positive correlation coefficient indicate?

Back

A positive correlation coefficient 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 coefficient indicate?

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A negative correlation coefficient 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 formula for a linear equation?

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The formula for a linear equation is typically written as 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

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What is the y-intercept in a linear equation?

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

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How do you interpret the slope of the equation y = -2x + 7?

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The slope of -2 means that for each hour of use, the amount of gas decreases by 2 gallons.

Tags

CCSS.8.EE.B.5

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What is a scatter plot?

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A scatter plot is a graph that shows the relationship between two quantitative variables by displaying data points on a two-dimensional axis.

Tags

CCSS.8.SP.A.1

Front

What does it mean if there is no correlation in a scatter plot?

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

Tags

CCSS.HSS.ID.B.5