The Relationship Between Caffeine Intake and Cholesterol Levels: A Statistical Analysis and Regression Model

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The Relationship Between Caffeine Intake and Cholesterol Levels: A Statistical Analysis and Regression Model 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). a. What is the correlation coefficient r and what does it mean in this case? Using the below Statcrunch output, the observed correlation coefficient (r) is - 0.7280. Correlation between caffeine and Cholesterol level is: - 0.72796194(0.0636) The observed r value implies that there is a strong negative correlation between the caffeine levels and the cholesterol levels. b. What is the coefficient of determination and what does it mean in this case? The coefficient of determination is R 2 = - 0.72796194 2 = 0.52993. This value implies that the independent variable caffeine levels is explaining 52.993% variation in the dependent variable cholesterol levels. c. Is there a statistically significant correlation between caffeine intake and cholesterol levels in this case?
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