Functions and Scatterplots

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is a scatterplot?

Back

A scatterplot is a graph that shows the relationship between two quantitative variables by displaying data points on a two-dimensional plane.

Front

What does a positive association in a scatterplot indicate?

Back

A positive association indicates that as one variable increases, the other variable also tends to increase.

Front

What does a negative association in a scatterplot indicate?

Back

A negative association indicates that as one variable increases, the other variable tends to decrease.

Front

What is no association in a scatterplot?

Back

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

Front

What is correlation?

Back

Correlation is a statistical measure that describes the extent to which two variables change together.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is a nonlinear association?

Back

A nonlinear association is a relationship between two variables that does not follow a straight line when graphed.

Front

What is the difference between correlation and causation?

Back

Correlation indicates a relationship between two variables, while causation implies that one variable directly affects the other.

Front

What does it mean if a scatterplot shows a cluster of points?

Back

A cluster of points in a scatterplot indicates that there is a strong relationship between the two variables in that region.