This lesson includes 20 additional questions and 63 additional question variations for subscribers.
Lesson Worksheet: Pearson’s Correlation Coefficient Mathematics • 9th Grade
In this worksheet, we will practice calculating and using Pearson’s correlation coefficient, 𝑟, to describe the strength and direction of a linear relationship.
Q8:
The data table shows the high jump and long jump results achieved by 15 competitors in the women’s heptathlon in the 2016 Rio Olympics.
| Long Jump (m) | 5.51 | 5.72 | 5.81 | 5.88 | 5.91 | 6.05 | 6.08 | 6.10 | 6.16 | 6.19 | 6.31 | 6.31 | 6.34 | 6.48 | 6.58 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| High Jump (m) | 1.65 | 1.77 | 1.83 | 1.77 | 1.77 | 1.77 | 1.8 | 1.77 | 1.8 | 1.86 | 1.86 | 1.83 | 1.89 | 1.86 | 1.98 |
Calculate, to the nearest thousandth, the value of the product-moment correlation coefficient between the long jump and high jump results.
What does this correlation coefficient reveal about the relationship between the long jump and high jump results?
- AThere is a moderate negative linear correlation between the long jump and high jump results.
- BThere is a strong positive linear correlation between the long jump and high jump results.
- CThere is a moderate positive linear correlation between the long jump and high jump results.
- DThere is a strong negative linear correlation between the long jump and high jump results.
- EThere is no real correlation between the long jump and high jump results.
Q9:
A data set has summary statistics , , and . Calculate the product-moment correlation coefficient for this data set, giving your answer correct to three decimal places.