8.5(d) Scatter Plot Trend Line Predictions

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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 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 trend line represent in a scatter plot?

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A trend line is a straight line that best represents the data points in a scatter plot, indicating the general direction of the data.

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CCSS.8.EE.B.5

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How do you determine the slope of a trend line?

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The slope of a trend line is determined by the change in the y-values divided by the change in the x-values between two points on the line.

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CCSS.8.EE.B.5

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What does a positive slope indicate in a scatter plot?

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A positive slope indicates that as one variable increases, the other variable also tends to increase.

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CCSS.8.EE.B.5

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What does a negative slope indicate in a scatter plot?

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

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CCSS.8.EE.B.5

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What is interpolation in the context of scatter plots?

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Interpolation is the process of estimating a value within the range of known data points on a scatter plot.

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CCSS.HSS.ID.B.6A

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What is extrapolation in the context of scatter plots?

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Extrapolation is the process of estimating a value outside the range of known data points on a scatter plot.

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CCSS.8.SP.A.3

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How can you use a trend line to make predictions?

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You can use a trend line to make predictions by extending the line and estimating the value of the dependent variable for a given independent variable.

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What is the importance of outliers in a scatter plot?

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Outliers are data points that differ significantly from other observations and can affect the slope and accuracy of the trend line.

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CCSS.8.SP.A.1

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What is the correlation coefficient?

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The correlation coefficient is a statistical measure that describes the strength and direction of a relationship between two variables.

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CCSS.HSS.ID.C.8