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 scatter plot?

Back

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

Front

What does a positive association in a scatter plot 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 scatter plot indicate?

Back

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

Front

What is correlation in statistics?

Back

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

Front

What is a line of best fit?

Back

A line of best fit is a straight line that best represents the data on a scatter plot, minimizing the distance between the line and the data points.

Front

What does it mean if a scatter plot shows no correlation?

Back

No correlation means there is no apparent relationship between the two variables; changes in one variable do not predict changes in the other.

Front

How can you determine if a mapping is a function?

Back

A mapping is a function if each input has exactly one output. If any input has multiple outputs, it is not a function.

Front

What is the purpose of the line of best fit?

Back

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

Front

What is an example of a positive correlation?

Back

An example of a positive correlation is the relationship between hours studied and test scores; generally, more study hours lead to higher scores.