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A statistics professor conducts a study to investigate the relationship between the performance of his students on exams and their anxiety. Ten students from his
A statistics professor conducts a study to investigate the relationship between the performance of his students on exams and their anxiety. Ten students from his class are selected for the study. Just prior to taking the final exam, the 10 students are given an anxiety questionnaire. Here are the final exam and anxiety scores for the 10 students.
i | X: anxiety | Y: exam score |
1 | 28 | 82 |
2 | 41 | 58 |
3 | 35 | 63 |
4 | 39 | 89 |
5 | 31 | 92 |
6 | 42 | 64 |
7 | 50 | 55 |
8 | 46 | 70 |
9 | 45 | 51 |
10 | 37 | 72 |
- What is the correct type of correlation (Pearson vs. Spearman) to use for this study?
- Create a scatter plot for this data
- Looking at the scatter plot, what is your best guess at your r-value?
- Calculate r.
- Using everyday English, describe the relationship between anxiety and exam scores. Make sure to discuss both the direction and magnitude of the relationship.
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