Homework Help-Correlation between coffee and cholesterol

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?

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