Answer to Question #254483 in Statistics and Probability for Goldie

Question

Getting acquainted with the essential terms and concepts on correlation, it is now time for you to explain thoroughly your answers to the following questions.

1. Discuss the different kinds of relationship that are possible between two variables. 

2. A study has shown that the correlation between fatigue and irritability is 0.53. Based on this correlation, the author concludes that fatigue is an important factor in producing irritability. Is this conclusion justified? Explain.

Answer 1

Solution:

1. Different types of relationships that may exist between two variables (v1 and v2 ). (a) Direct relationship; (b) reciprocal direct relationship ; (c) indirect relationship through a third variable v3 ; (d) spureous relationship; (e) association without causation.
2. We know that the correlation coefficients whose magnitude are between 0.5 and 0.7 indicate variables which can be considered moderately correlated.

Given correlation coefficient is 0.53, which shows that fatigue is an important factor in producing irritability. Thus, author is correct. So, the conclusion is justified.