Scatter Plot Correlation Coefficients

Front

What is a scatter plot?

Back

A scatter plot is a graphical representation of two variables where each point represents an observation in the dataset, showing the relationship between the variables.

Tags

CCSS.8.SP.A.1

Front

What does the correlation coefficient (r) indicate in a scatter plot?

Back

The correlation coefficient (r) indicates the strength and direction of a linear relationship between two variables, ranging from -1 to 1.

Tags

CCSS.HSS.ID.C.8

Front

What does an r value of -1 signify?

Back

An r value of -1 signifies a perfect negative linear correlation, meaning that as one variable increases, the other variable decreases in a perfectly linear manner.

Tags

CCSS.HSS.ID.C.8

Front

What does an r value of 0 signify?

Back

An r value of 0 signifies no correlation between the two variables, indicating that there is no linear relationship.

Tags

CCSS.HSS.ID.B.5

Front

What does an r value of 1 signify?

Back

An r value of 1 signifies a perfect positive linear correlation, meaning that as one variable increases, the other variable also increases in a perfectly linear manner.

Tags

CCSS.HSS.ID.B.5

Front

What does a negative correlation indicate?

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 a positive correlation indicate?

Back

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

Tags

CCSS.HSS.ID.B.5

Front

How can you visually identify a strong correlation in a scatter plot?

Back

A strong correlation in a scatter plot can be visually identified by points that closely follow a straight line, either upward (positive correlation) or downward (negative correlation).

Tags

CCSS.HSS.ID.B.5

Front

What is the purpose of a trend line in a scatter plot?

Back

The purpose of a trend line in a scatter plot is to summarize the relationship between the variables and to make predictions based on the observed data.

Front

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

Back

If a scatter plot shows no correlation, it means that there is no discernible pattern or relationship between the two variables.

Tags

CCSS.HSS.ID.B.5