Question

The correlation coefficients are provided for the data collected by 4 different students. Rank them in order of strongest linear

correlation to weakest linear correlation.
$1. -0.87
2. 0.79
3. 0.50
4 -0.25

Answer 1

The correlation coefficients ranked from strongest to weakest linear correlation are -0.87 (strongest), 0.79, 0.50, and -0.25 (weakest).

The absolute value of the coefficient determines the strength, irrespective of whether the relationship is positive or negative.

Step-by-step explanation:

The correlation coefficient is a statistical measure of the strength and direction of a linear relationship between two variables.

It is represented by the symbol r and ranges from -1 to +1. The value of r indicates the strength of the relationship, with values close to 1 or -1 indicating a strong relationship, and values close to 0 indicating a weak relationship.

A positive value indicates a positive relationship, while a negative value indicates a negative relationship.

Given the correlation coefficients -0.87, 0.79, 0.50, and -0.25, we can rank them from the strongest linear correlation to the weakest as follows:

1. -0.87 (Strong negative correlation)
2. 0.79 (Strong positive correlation)
3. 0.50 (Moderate positive correlation)
4. -0.25 (Weak negative correlation)

Remember that both negative and positive correlations can be strong; what matters is the absolute value of the coefficient, which shows the strength of the relationship independent of its direction.