review functions and scatterplots

Front

What is a function in mathematics?

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

How can you determine if a graph represents y as a function of x?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, then y is not a function of x.

Front

What does it mean if a graph has a linear association?

Back

A linear association means that the data points can be approximated by a straight line.

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 Cartesian 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 does 'no association' mean in the context of 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 a non-linear association?

Back

A non-linear association occurs when the relationship between the variables cannot be represented by a straight line.

Front

What is the purpose of using scatterplots in data analysis?

Back

Scatterplots help visualize the relationship between two variables, making it easier to identify patterns, trends, and correlations.

Front

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

Back

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