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 is a trend line 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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How do you interpret a trend line?

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You interpret a trend line by observing its slope and position, which can help predict values of one variable based on the other.

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CCSS.8.EE.B.5

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What does it mean if a trend line slopes upwards?

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An upward slope indicates a positive correlation, meaning 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 it mean if a trend line slopes downwards?

Back

A downward slope indicates a negative correlation, meaning as one variable increases, the other variable tends to decrease.

Tags

CCSS.HSS.ID.B.5

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How can you use a trend line to make predictions?

Back

You can use a trend line to estimate the value of one variable based on the value of another by finding the corresponding point on the line.

Tags

CCSS.8.EE.B.5

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What is interpolation in the context of scatter plots?

Back

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

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CCSS.8.SP.A.3

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What is the importance of the correlation coefficient?

Back

The correlation coefficient measures the strength and direction of a linear relationship between two variables, helping to assess how well the trend line fits the data.

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CCSS.HSS.ID.C.8

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What does a correlation coefficient of 1 indicate?

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A correlation coefficient of 1 indicates a perfect positive linear relationship between the two variables.

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CCSS.HSS.ID.B.5