Question

On an international​ exam, students are asked to respond to a variety of background questions. For the 41 nations that participated in the​ exam, the correlation between the percentage of items answered in the background questionnaire​ (used as a proxy for student task​ persistence) and mean score on the exam was 0.793. Does this suggest there is a linear relation between student task persistence and achievement​ score? Write a sentence that explains what this result might mean.

Answer 1

Correlation is a measure of linear relationship.

Explanation:

We are given that a correlation of 0.793 was found between the items answered and the mean score in a test.

• Correlation helps us to to know how to variables are related to each other.
• It is a statistical technique that help us to know type of relation between two variable. It may be a direct relation or a inverse relation.
• In other word, correlation is basically a measure of linear relationship between two variables.
• The correlation ranges from -1 to 1. A correlation between 0.7 and 1 is considered to be a strong correlation.
• A correlation of 0.793 means that there is a strong linear relationship between the two variables.
• Yes, there is a linear relationship between the number of questions answered and the mean score of test.
• So, it can be said as the number of questions answered increases, the mean score increases as well.