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Correlation between coffee and cholesterolA 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 684200 547300 200400 399500 415600 400700 58Evaluate 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?b. What is the coefficient of determination and what does it mean in this case?c. Is there a statistically significant correlation between caffeine intake and cholesterol levels in this case? Q2 Regression-How much coffee do I have to drink?Given the data presented in Discussion Question 1 for this week, determine how much coffee you must drink to lower your total cholesterol to 150 mg/dL. To get the answer, plot a regression line in StatCrunch and discuss how to do 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) How many cups of coffee must you drink to lower your total cholesterol to 150 mg/dL (given that 1 cup of coffee equals 100 mg of caffeine)?
The velocity of a car after t seconds is 2t feet per second. (a) How far does the car travel during its first 10 seconds? (b) How many seconds does it take the car to travel half the distance in part (a)?
a man invests 20000at an annual interest rate of 7%, and 12000 at an annual interest rate of 7.5%. what was his annual income in the two investments?
10. The sum of three numbers is 98. The ratio of the first to the second is 2/3, and the ratio of the second to the third is 5/8. The second number is:
Find the equation of the line that is tangent to the graph of f(x) = 4x4 - 3x2 + 85 at the point (3, 382)
Explain how your work in part a would have been different if the sample size had been only 12 instead.
I know how to do part 1 and 2 , but then i dont know how to do part 3. Can you please help. Here is the problem
A Cooling evaporator in a fridge case with a design temperature of 5 Deg C. The Air off and Air on the fridge coil varies pending Ambient, Product, Product temperature/Mass etc.
Formulate a linear programming model to determine the optimal product mix that will maximize profit. What are the sensitivity ranges for the objective function coefficients
i have a project and i really need help with it its in fact 8 of them. the book is fundamentals of differential
Let R be a PID. Consider the Diophantine equation ax+by=N where a,b and N are integers and a,b are nonzero. Suppose x_0, y_0 is a solution: ax_0+by_0=N.
Two trains are approaching each other on the same track. They are 500 miles from each other. One train is traveling at 40 mph, the other at 60 mph. A bird is flying back and forth between them at 150 mph. How long before they collide?
They guarantee to give you a 10% raise next month. Discuss this situation. Will your next month's salary stay the same? Explain your answer using an example.
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