Scatterplot Correlations

Front

What is a scatterplot?

Back

A scatterplot is a graph that displays values for typically two variables for a set of data. Each point represents an observation in the dataset.

Tags

CCSS.8.SP.A.1

Front

What does a positive correlation indicate in a scatterplot?

Back

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

Tags

CCSS.HSS.ID.B.5

Front

What does a negative correlation indicate in a scatterplot?

Back

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

Tags

CCSS.HSS.ID.B.5

Front

What does 'no correlation' mean in the context of a scatterplot?

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.

Tags

CCSS.HSS.ID.B.5

Front

What is the correlation coefficient?

Back

The correlation coefficient (denoted as 'r') is a numerical measure of the strength and direction of a linear relationship between two variables.

Tags

CCSS.HSS.ID.C.8

Front

What is the range of the correlation coefficient?

Back

The correlation coefficient ranges from -1 to 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation.

Tags

CCSS.HSS.ID.B.5

Front

What does a correlation coefficient of r = -0.86 indicate?

Back

A correlation coefficient of r = -0.86 indicates a strong negative correlation between the two variables.

Tags

CCSS.HSS.ID.B.5

Front

What does a correlation coefficient of r = 0.5 indicate?

Back

A correlation coefficient of r = 0.5 indicates a moderate positive correlation between the two variables.

Tags

CCSS.HSS.ID.B.5

Front

How can you visually assess the strength of a correlation in a scatterplot?

Back

You can visually assess the strength of a correlation by observing how closely the points cluster around a line of best fit; tighter clustering indicates a stronger correlation.

Tags

CCSS.HSS.ID.B.5

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 scatterplot, showing the general direction of the relationship between the variables.

Tags

CCSS.8.EE.B.5