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

Statistical investigation of caffeine consumption and cholesterol impact.

David Brown
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The Relationship Between Caffeine Intake and Cholesterol Levels:A Statistical Analysis and Regression ModelCorrelation between coffee and cholesterolA study from a Colombian research center is about to publish a pilot study regarding a newcoffee 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)10068420054730020040039950041560040070058Evaluate the claim that the caffeine from this new plant reduces cholesterol by plotting caffeinelevels (x) versus the cholesterol levels (y).a.What is the correlation coefficient r and what does it mean in thiscase?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 negativecorrelation between thecaffeine levelsand the cholesterol levels.b.What is the coefficient of determination and what does it mean in this case?The coefficient of determination is R2=-0.727961942= 0.52993. This value implies thatthe independent variable caffeine levels is explaining 52.993% variation in the dependentvariable cholesterol levels.c.Is there a statistically significant correlation between caffeine intake and cholesterollevels in this case?

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Statistics

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