(solution) A study from a Colombian research center is about to publish a

(solution) A study from a Colombian research center is about to publish a

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
200 550
300 200
400 400
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?

A study from a Colombian research center is about to publish a pilot study regarding a new coffee plant that they believe can r caffeine (mg)
100
200
300
400
500
600
700 Cholester
ol level
(mg/dL)…