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A study from a Colombian research center is about to
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Q1 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?
 

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