Q1 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	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. Isthereastatisticallysignificantcorrelationbetweencaffeineintakeandcholesterollevelsinthiscase?

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 three and a quarter cups of coffee a day. To get the answer, plot a regression line inStatCrunchand post your answers fromStatCrunchfor 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 callbin 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)?