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 graphical representation of two variables where each point represents an observation. It helps to visualize the relationship between the variables.

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 no correlation mean?

Back

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

Front

What is the range of correlation coefficients?

Back

The range of correlation coefficients is from -1 to +1. A coefficient of +1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.

Front

How do you interpret a correlation coefficient of 0.85?

Back

A correlation coefficient of 0.85 indicates a strong positive correlation between the two variables.

Front

What is the purpose of using scatterplots in data analysis?

Back

Scatterplots are used to visually assess the relationship between two quantitative variables, helping to identify trends, patterns, and potential correlations.

Front

What is an outlier in a scatterplot?

Back

An outlier is a data point that lies far away from the other points in a scatterplot, which can indicate variability in the data or errors in measurement.

Front

How can you determine the strength of a correlation?

Back

The strength of a correlation can be determined by the correlation coefficient; values closer to +1 or -1 indicate stronger correlations, while values closer to 0 indicate weaker correlations.