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Do higher-paid chief executive officers (CEOs) control bigger companies? Let us study x = annual CEO salary ($ millions) and y = annual company revenue ($ billions). The following data are based on information from Forbes magazine and represent a sample of top U.S. executives. Use this information for Questions 1-7.
x (salary, millions) 0.8 1.0 1.1 1.7 2.3
y (revenue, billions) 14 11 19 20 25
1. Draw a scatter diagram. Using the scatter diagram (no calculations), would you estimate the linear correlation coefficient to be positive, close to 0, or negative? Explain your answer. 2. For the given data compute each of the following.
(a) The slope b and y intercept a of the least-squares line; write out the equation for the least-squares line. (b) Graph the least-squares line on your scatterplot of Problem 1 3. Compute the sample correlation coefficient r. Compute the coefficient of determination. Give a brief explanation of the meaning of the coefficient of determination in the context of this problem. 4. Compute the standard error of estimate Se. 4. 5. If a CEO has an annual salary of $1.5 million, what is his or her annual company revenue as predicted by the least-squaresline? 6. Find a 90% confidence interval for your prediction of Problem 5. 7. Using the sample correlation coefficient r computed in Problem 3, test whether or not the population correlation coefficient is different from 0. Use 0.01. Is r significant in this problem? Explain.
the perimeter of the basketball court is 114 meters. If the length is 6 more than 2 times the width, what is the width and length?
Trigonometric function to estimate the exact value.
a pool, 16 m by 25 m is to have a sidewalk of uniform width built around the perimeter. calculate the width of the sidewalk to nearest tenth of a metre, if the pool equals the area of the sidewalk.
Multiple choice questions on regression.
How many milligrams will be present after 12 weeks and how long will it take for 75% of the original sample to decay?
the local varsity club spent 40 of its budget on art supplies 15 percent on t-shirts 10 percent on photocopying. if the
Utilizing malthus method, Suppose that a culture of bacteria has initial population of n=100. If the population doubles every three days
Post your response to the following: In your own words, detail the process of polynomial division when the divisor is a monomial. Demonstrate the process with an example. How does this process change when the divisor is not a monomial?
you collect $33000 after taxes and decide to invest it in two funds that return 4% and 2.25% for a total of 970 after the first year. How much did you invest in each?
How far from the firing point will the projectile be when it is 70 feet high? What is x? What is h(x)? Which are you being given and which do you need to find?
Make a graph of this on graph paper. Use your graph to find the depth of water in the tank after 5 hours.
Develop the Basis Step of the algorithm to determine the number of terms of the union of n mutually intersecting sets.
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