8.5(d) Scatter Plot Trend Line Predictions

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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 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 can you use a trend line to make predictions?

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You can extend the trend line to estimate values for variables not directly measured in the data set.

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CCSS.8.SP.A.3

Front

What is the purpose of predicting values using a scatter plot?

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The purpose is to estimate unknown values based on the observed relationship between the variables.

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If a trend line indicates a positive correlation, what does that mean?

Back

A positive correlation means 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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If a trend line indicates a negative correlation, what does that mean?

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

Tags

CCSS.HSS.ID.B.5

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What is interpolation in the context of scatter plots?

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Interpolation is estimating a value within the range of the data points using the trend line.

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CCSS.8.SP.A.3

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What is extrapolation in the context of scatter plots?

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Extrapolation is estimating a value outside the range of the data points using the trend line.

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CCSS.8.SP.A.3

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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.

Tags

CCSS.8.EE.B.5

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What is the formula for calculating the slope (m) of a line?

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The formula is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Tags

CCSS.8.EE.B.5