Trend lines

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.

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CCSS.HSF-LE.A.1B

Front

What does a positive correlation 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 indicate?

Back

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

Tags

CCSS.HSS.ID.B.5

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

Front

How can you identify a linear relationship in a scatter plot?

Back

A linear relationship can be identified if the data points roughly form a straight line.

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CCSS.8.F.A.3

Front

What is the purpose of a trend line in data analysis?

Back

The purpose of a trend line is to summarize the relationship between variables and to make predictions based on the data.

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CCSS.HSF-LE.A.1B

Front

What does it mean if there is no correlation between two variables?

Back

No correlation means that there is no predictable relationship between the two variables; changes in one do not affect the other.

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CCSS.HSS.ID.B.5

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 steeper slope means a greater change.

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.