Question

correlation measures the degree to which two variables are related to one another.

Here are the definitions of the three possibilities:

• Positive correlations: In this type of correlation, both variables increase or decrease at the same time. A correlation coefficient close to +1.00 indicates a strong positive correlation.
• Negative correlations: This type of correlation indicates that as the amount of one variable increases, the other decreases (and vice versa). A correlation coefficient close to -1.00 indicates a strong negative correlation.
• No correlation: This indicates no relationship between the two variables. A correlation coefficient of 0 indicates no correlation.

Values range from -1 to 1. The closer to -1 or 1 the stronger the correlation. The closer to 0 the weaker it is. Correlation is a term that refers to the strength of a relationship between two variables where a strong, or high, correlation means that two or more variables have a strong relationship with each other while a weak or low correlation means that the variables are hardly related. Correlation analysis is the process of studying the strength of that relationship with available statistical data.

Example: A recent study of marriage and education found a strong negative correlation between the level of education and the divorce rate. Data from the National Survey of Family Growth show that as education level increases among women, the divorce rate for first marriages decreases.

I did another study asking social workers to rate their level of stress at work (1=no stress and 5=extreme stress). I also asked them how often they participated (5=often to 1=never) in the free yoga program that was set up for social workers in their office. My correlation was -.567 . Is this s positive or negative correlation What does this mean? (write it out)

Answer 1

Solution:

As the result shows that the correlation between stress level and participation in yoga program is equal to -0.567

This indicate that there is a negative correlation

Also the relationship between these two variable is not strong.

It means that there is slightly negative correlation among two variables.

We can't say as the level of stress increase, participation in Free yoga program increase