1 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) 100 687 200 545 300 402 400 399 500 415 600 251 700 60 Cholesterol level (mg/dL) Evaluate the claim that the caffeine from this new plant reduces cholesterol by plotting caffeine levels (x) versus the cholesterol levels (y). What is the correlation coefficient r and what does it mean in this case? What is the coefficient of determination and what does it mean in this case? Is there a statistically significant correlation between caffeine intake and cholesterol levels in this case? ------Q2 Regression- What is the predicted cholesterol level? Given the data presented in Discussion Question 1 for this week, determine the cholesterol level of someone who drank two and a half cups of coffee a day. To get the answer, plot a regression line in StatCrunch and post your answers from StatCrunch for the following: a) What is the intercept? (or -what would be your cholesterol level while ingesting no caffeine?) b) What is the slope? (or, what is what we call b in the linear regression equation?) c) What is the cholesterol level of someone who drank three and a quarter cups of coffee a day (given that 1 cup of coffee equals 100 mg of caffeine)