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5 August, 15:20

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 0.728. 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. Does this suggest there is a linear relation between student task persistence and achievement score? Choose the best response below. What does this result mean?

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  1. 5 August, 15:38
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    The strong and positive relationship between the variables. Also, it suggests the linear relation between student task persistence and achievement score.

    Step-by-step explanation:

    Since the correlation between the percentage of items answered in the background questionnaire and mean score on the exam is 0.728, it means that there is a strong positive relation between items answered in background questionnaire and mean score.

    Correlation is used to check the strength of the linear relationship between two variables. Its value lies between - 1 to + 1. It is denoted by "r".

    If r lies between 0 to - 1 then they have a negative relationship.

    If r lies between 0 to + 1 then they have a positive relationship.

    If r lies between - 1 to - 0.5 or 0.5 to + 1 they have strong negative or strong positive relationships respectively.
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