Scatter Plots: Line of Best Fit

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What is a scatter plot?

Back

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

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CCSS.HSF-IF.C.7A

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What does a line of best fit represent in a scatter plot?

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A line of best fit represents the trend in the data, helping to summarize the relationship between the variables and make predictions.

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CCSS.8.SP.A.2

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How do you determine the line of best fit?

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The line of best fit is determined by finding the line that minimizes the distance between the data points and the line itself.

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CCSS.8.EE.B.5

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What is the purpose of using a line of best fit?

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The purpose of using a line of best fit is to make predictions about one variable based on the value of another variable.

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CCSS.8.EE.B.5

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What does a positive correlation in a scatter plot indicate?

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A positive correlation 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 in a scatter plot indicate?

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

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CCSS.HSS.ID.B.5

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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

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If the slope of a line is negative, what does that tell you about the relationship between the variables?

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If the slope is negative, it indicates that there is an inverse relationship between the variables; as one increases, the other decreases.

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CCSS.8.EE.B.5

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What does the y-intercept represent in a line of best fit?

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

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CCSS.HSF.LE.B.5

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How can you use a scatter plot to make predictions?

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You can use a scatter plot to make predictions by extending the line of best fit to estimate the value of the dependent variable for a given independent variable.