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:
There is a strong positive relationship between student task persistence and achievement score
Explanation:
The correlation Coefficient score is used to as a numerical measure to show the strength of relationship or correlation between two linear variables. The correlation score ranges from - 1 to + 1. With positive values depicting a positive relationship and negative values exhibiting a negative relationship between the two variables. The closer the value is to 1 or - 1, the stronger the level of correlation. A correlation value of 0, means no relationship exists between the variables.
The correlation score of 0. 793 is both positive and close to 1. Hence, signifying a strong positive relationship.