Correlation and Scatterplots

Front

What is correlation?

Back

Correlation is a statistical measure that describes the extent to which two variables change together. A positive correlation means that as one variable increases, the other also increases, while a negative correlation means that as one variable increases, the other decreases.

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 on the graph represents an observation.

Front

What does a positive correlation look like on a scatterplot?

Back

In a scatterplot, a positive correlation appears as a pattern where points trend upwards from left to right.

Front

What does a negative correlation look like on a scatterplot?

Back

In a scatterplot, a negative correlation appears as a pattern where points trend downwards from left to right.

Front

What does it mean if there is no correlation?

Back

If there is no correlation, it means that there is no predictable relationship between the two variables, and the points on the scatterplot are scattered randomly.

Front

What is the correlation coefficient?

Back

The correlation coefficient is a numerical value that ranges from -1 to 1, indicating the strength and direction of a linear relationship between two variables.

Front

What does a correlation coefficient of r = 1 indicate?

Back

A correlation coefficient of r = 1 indicates a perfect positive correlation, meaning that as one variable increases, the other variable increases in a perfectly linear manner.

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What does a correlation coefficient of r = -1 indicate?

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A correlation coefficient of r = -1 indicates a perfect negative correlation, meaning that as one variable increases, the other variable decreases in a perfectly linear manner.

Front

What does a correlation coefficient of r = 0 indicate?

Back

A correlation coefficient of r = 0 indicates no correlation, meaning there is no linear relationship between the two variables.

Front

What is a weak correlation?

Back

A weak correlation is indicated by a correlation coefficient close to 0, suggesting that there is a slight relationship between the variables, but it is not strong.