Correlation and Correlation coefficient

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 the correlation coefficient (r)?

Back

The correlation coefficient (r) is a numerical value that ranges from -1 to 1, indicating the strength and direction of a linear relationship between two variables. A value of 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.

Front

What does an r value of -0.9 indicate?

Back

An r value of -0.9 indicates a strong negative correlation between the two variables, meaning that as one variable increases, the other variable tends to decrease significantly.

Front

What does an r value of 0.92 indicate?

Back

An r value of 0.92 indicates a strong positive correlation between the two variables, meaning that as one variable increases, the other variable also tends to increase significantly.

Front

What is a scatter plot?

Back

A scatter plot is a graphical representation of two variables, where each point represents an observation. It helps to visualize the relationship between the variables.

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 scatter plot. It minimizes the distance between the line and all the points in the plot.

Front

What does it mean if a scatter plot shows a negative correlation?

Back

If a scatter plot shows a negative correlation, it means that as one variable increases, the other variable tends to decrease.

Front

What does it mean if a scatter plot shows a positive correlation?

Back

If a scatter plot shows a positive correlation, it means that as one variable increases, the other variable also tends to increase.

Front

How can you determine the strength of a correlation?

Back

The strength of a correlation can be determined by the absolute value of the correlation coefficient (r). Values close to 1 or -1 indicate a strong correlation, while values close to 0 indicate a weak correlation.

Front

What is the range of the correlation coefficient?

Back

The range of the correlation coefficient (r) is from -1 to 1.