8.5(d) Scatter Plot Trend Line Predictions

Front

What is a trend line in a scatter plot?

Back

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

Front

How do you use a trend line to make predictions?

Back

You can use a trend line to estimate values by finding where the trend line intersects with a given x-value.

Tags

CCSS.HSF.IF.A.2

Front

What does it mean if a trend line slopes upwards?

Back

An upward slope indicates a positive correlation, meaning as one variable increases, the other variable tends to increase as well.

Tags

CCSS.HSF-LE.A.1B

Front

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

Front

What is the purpose of creating a trend line?

Back

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

Tags

CCSS.HSF-LE.A.1B

Front

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

Back

The strength of a correlation can be determined by how closely the data points cluster around the trend line; tighter clusters indicate a stronger correlation.

Tags

CCSS.HSS.ID.B.5

Front

What is interpolation in the context of trend lines?

Back

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

Tags

CCSS.8.SP.A.3

Front

What is extrapolation in the context of trend lines?

Back

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

Tags

CCSS.8.SP.A.3

Front

If a trend line intersects the y-axis at 50, what does this indicate?

Back

This indicates that when the x-value is 0, the predicted y-value is 50.

Tags

CCSS.HSF.LE.B.5

Front

What is the significance of 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 rate of change.

Tags

CCSS.8.EE.B.5