Correlation Math Example 4

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Example 4

easy
A study finds a correlation coefficient of r=0.88r = 0.88 between height and arm span. Describe the direction and strength of the linear relationship.

Solution

  1. 1
    Because r=0.88r = 0.88 is positive, the relationship is positive.
  2. 2
    Because ∣r∣=0.88|r| = 0.88 is close to 11, the linear relationship is strong.

Answer

There is a strong positive linear correlation.
The sign of rr gives direction, and the magnitude of rr gives strength. Values close to 11 or −1-1 indicate a strong linear relationship.

About Correlation

Correlation measures the strength and direction of the linear relationship between two quantitative variables, ranging from −1-1 to +1+1.

Learn more about Correlation →

More Correlation Examples

Example 1 medium

Given five data points [formula], compute the Pearson correlation coefficient [formula].

Example 2 easy

A study finds [formula] between hours of TV watched per day and exam scores. Interpret this value.

Example 3 medium

If [formula], what is the coefficient of determination [formula], and what does it mean?

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