Scatterplots and Trend Lines Review

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 axis.

Front

What does a trend line represent in a scatterplot?

Back

A trend line, or line of best fit, represents the general direction that a group of points seem to be heading, indicating the relationship between the variables.

Front

What is a positive correlation?

Back

A positive correlation occurs when an increase in one variable leads to an increase in another variable, resulting in an upward trend in a scatterplot.

Front

What is a negative correlation?

Back

A negative correlation occurs when an increase in one variable leads to a decrease in another variable, resulting in a downward trend in a scatterplot.

Front

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

Back

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

Front

How can you determine the strength of a correlation from a scatterplot?

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.

Front

What is the purpose of a line of best fit?

Back

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

Front

What is the difference between linear and non-linear relationships?

Back

Linear relationships can be represented by a straight line, while non-linear relationships cannot and may curve or change direction.

Front

What is an example of a situation that might show a positive correlation?

Back

An example of a positive correlation is the relationship between study time and test scores; as study time increases, test scores tend to increase.

Front

What is an example of a situation that might show a negative correlation?

Back

An example of a negative correlation is the relationship between the outside temperature and the number of people wearing coats; as temperature increases, the number of coats worn decreases.