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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)?
Plot the component curves and the orbit, the latter for the rectangle |y|Any surprises? 28. Hearts and Eyes: Find a solution formula for y'' + 25y = sin&(wt), where w is not equal 5. Plot the solution curve of the IVP with y(0) = y'(0), where w=4...
Assume that the drawer contains 11 coins: 4 quarters, 2 dimes, and 5 nickels. One coin is randomly selected. What is the expected value of the coin selected (in cents)?
A steep mountain is inclined 75 degrees to the horizontal and rises 3400 feet above the surrounding plain. A cable car I to be installed from a point 800 feet from the base to the top of the mountain. Find the shortest length of cable needed.
convergence and divergence find an infinite series of the given absolute function by using the fact give also estimate
Individual Visual Logic - Calculations.Select two calculation tasks a program could perform that would be useful.
Show that log(r), where this is log base 10, is irrational when r is a positive rational that is not an integral power of 10
Describe how the Fibonacci sequence can be found in Pascal's triangle, then illustrate it using Pascal's triangle.
hugh and janet are dining out at a cafe that has on its menu 6 entrees 5 salads and 10 desserts. they decide thy will
applications of exponential function principal rate time.a person deposits 3000 in a bank account which pays 3 annual
Mathematics has played an essential role in the design of many new technologies, such as the Large Hadron Collider, Global Positioning System (GPS), aerial photography, and navigation systems. These new technologies were made possible through mathema..
the laser used in a compact disc player has a time to failure which follows an exponential distribution with a mean of
Use a wire of length x to bend into a shape of rectangle, a square, and a circle. Which shape has the largest area? *show which is largest* write functions
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