Scatter Plots and Trend Lines

Front

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 positive correlation in a scatter plot indicate?

Back

A positive correlation indicates that as one variable increases, the other variable also increases.

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CCSS.HSS.ID.B.5

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What does a negative correlation in a scatter plot indicate?

Back

A negative correlation indicates that as one variable increases, the other variable decreases.

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CCSS.HSS.ID.B.5

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What does 'no correlation' mean in the context of scatter plots?

Back

No correlation means there is no apparent relationship between the two variables being plotted.

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CCSS.HSF-LE.A.1B

Front

How do you interpret the slope of a trend line?

Back

The slope of a trend line indicates the rate of change between the two variables; a positive slope means an increase, while a negative slope means a decrease.

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CCSS.8.EE.B.5

Front

What is the formula for calculating the slope of a line?

Back

The slope (m) is calculated as m = (change in y) / (change in x).

Tags

CCSS.8.EE.B.5

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What does a slope of -5/7 represent in a real-world context?

Back

A slope of -5/7 means that for every 7 units increase in the x-variable, the y-variable decreases by 5 units.

Tags

CCSS.8.EE.B.5

Front

What is a trend line?

Back

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

Tags

CCSS.HSF-LE.A.1B

Front

How can you determine the type of correlation from a scatter plot?

Back

You can determine the type of correlation by observing the direction of the data points: upward for positive, downward for negative, and scattered for none.

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CCSS.HSS.ID.B.5

Front

What is the significance of outliers in a scatter plot?

Back

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