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

• September 13, 2020
• By menge

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)…