Scatterplots and correlation coefficient

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 the correlation coefficient (r) indicate?

Back

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

Front

What does r = 1 signify?

Back

r = 1 indicates a perfect positive correlation, meaning as one variable increases, the other variable also increases.

Front

What does r = -1 signify?

Back

r = -1 indicates a perfect negative correlation, meaning as one variable increases, the other variable decreases.

Front

What does r = 0 signify?

Back

r = 0 indicates no correlation between the two variables, meaning changes in one variable do not affect the other.

Front

How do you interpret a correlation coefficient of r = 0.3?

Back

A correlation coefficient of r = 0.3 indicates a weak positive correlation between the two variables.

Front

How do you interpret a correlation coefficient of r = -0.26?

Back

A correlation coefficient of r = -0.26 indicates a weak negative correlation between the two variables.

Front

What type of correlation is shown if r = -0.98?

Back

A correlation coefficient of r = -0.98 indicates a strong negative correlation between the two variables.

Front

What does a scatterplot with no visible trend indicate?

Back

A scatterplot with no visible trend indicates no correlation between the two variables.

Front

What is the range of values for the correlation coefficient?

Back

The range of values for the correlation coefficient is from -1 to 1.