Homework Help-Correlation between coffee and cholesterol
Correlation between coffee and cholesterol
A study from a Colombian research center is about to publish a pilot study regarding a new coffee plant that they believe can reduce total cholesterol in humans. They gave increasing doses (cups of coffee) to a test patient over several weeks and recorded the following data:
caffeine (mg) | Cholesterol level (mg/dL) |
100 | 684 |
200 | 547 |
300 | 200 |
400 | 399 |
500 | 415 |
600 | 400 |
700 | 58 |
Evaluate the claim that the caffeine from this new plant reduces cholesterol by plotting caffeine levels (x) versus the cholesterol levels (y).
1. What is the correlation coefficient r and what does it mean in this case?
2. What is the coefficient of determination and what does it mean in this case?
3. Is there a statistically significant correlation between caffeine intake and
cholesterol levels in this case?