Principles of Economics, 7th Edition (MindTap Course List)
7th Edition
ISBN: 9781285165875
Author: N. Gregory Mankiw
Publisher: Cengage Learning
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Chapter 22, Problem 2QCMC
To determine
The example of moral hazard.
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Suppose that a random sample of 216 twenty-year-old men is selected from a population and that their heights and weights are recorded. A regression of weight on height
yields
Weight = (-107.3628) + 4.2552 x Height, R2 = 0.875, SER = 11.0160
(2.3220) (0.3348)
where Weight is measured in pounds and Height is measured in inches.
A man has a late growth spurt and grows 1.6200 inches over the course of a year. Construct a confidence interval of 90% for the person's weight gain.
The 90% confidence interval for the person's weight gain is ( ☐ ☐) (in pounds). (Round your responses to two decimal places.)
Suppose that (Y, X) satisfy the assumptions specified here. A random sample of n = 498 is drawn and yields
Ŷ= 6.47 + 5.66X, R2 = 0.83, SER = 5.3
(3.7)
(3.4)
Where the numbers in parentheses are the standard errors of the estimated coefficients B₁ = 6.47 and B₁ = 5.66 respectively.
Suppose you wanted to test that B₁ is zero at the 5% level. That is,
Ho: B₁ = 0 vs. H₁: B₁ #0
Report the t-statistic and p-value for this test.
Definition
The t-statistic is
(Round your response to two decimal places)
☑
The Least Squares Assumptions
Y=Bo+B₁X+u, i = 1,..., n, where
1. The error term u; has conditional mean zero given X;: E (u;|X;) = 0;
2. (Y;, X¡), i = 1,..., n, are independent and identically distributed (i.i.d.) draws from
i
their joint distribution; and
3. Large outliers are unlikely: X; and Y, have nonzero finite fourth moments.
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Principles of Economics, 7th Edition (MindTap Course List)
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- Exercise 4A firm has the following average cost: AC = 200 + 2Q – 36 Q Find the stationary point and determine if it is a maximum or a minimum.b. Find the marginal cost function.arrow_forwardExercise 2A firm has the following short-run production function: Q = 30L2 -0.5L3a. Make a table with two columns: Production and Labour b. Add a third column to the table with the marginal product of labour c. Graph the values that you estimated for the production function and the marginal product oflabour Exercise 3A Firm has the following production function: Q= 20L-0.4L2a. Using differential calculus find the unit of labour that maximizes the production. b. Estimate function of Marginal product of labor c. Obtain the Average product of labor. d. Find the point at which the Marginal Product of Labour is equal to the Average Product of Labour.arrow_forwardProblem 3 You have the following data for the last 12 months' sales for the PRQ Corporation (in thousands of dollars): January 500 July 610 February 520 August 620 March 520 September 580 April 510 October 550 May 530 November 510 June 580 December 480 1. Calculate a 3-month centered moving average. 2. Use this moving average to forecast sales for January of next year. 3. If you were asked to forecast January and February sales for next year, would you be confident of your forecast using the preceding moving averages? Why or why not? expect? Explain.arrow_forward
- Problem 5 The MNO Corporation is preparing for its stockholder meeting on May 15, 2013. It sent out proxies to its stockholders on March 15 and asked stockholders who plan to attend the meeting to respond. To plan for a sufficient number of information packages to be distributed at the meeting, as well as for refreshments to be served, the company has asked you to forecast the number of attending stockholders. By April 15, 378 stockholders have expressed their intention to attend. You have available the following data for the last 6 years for total attendance at the stockholder meeting and the number of positive responses as of April 15: Year Positive Responses Attendance 2007 322 520 2008 301 550 2009 398 570 2010 421 600 2011 357 570 2012 452 650 1. What is your attendance forecast for the 2013 stockholder meeting? 2. Are there any other factors that could affect attendance, and thus make your forecast inac- curate?arrow_forwardProblem 4 Office Enterprises (OE) produces a line of metal office file cabinets. The company's economist, having investigated a large number of past data, has established the following equation of demand for these cabinets: Q=10,000+6013-100P+50C Q=Annual number of cabinets sold B = Index of nonresidential construction P = Average price per cabinet charged by OE C=Average price per cabinet charged by OE's closest competitor It is expected that next year's nonresidential construction index will stand at 160, OE's average price will be $40, and the competitor's average price will be $35. 1. Forecast next year's sales. 2. What will be the effect if the competitor lowers its price to 832? If it raises its price to $36? 3. What will happen if OE reacts to the decrease mentioned in part b by lowering its price to $37? 4. If the index forecast was wrong, and it turns out to be only 140 next year, what will be the effect on OE's sales? If not, what does it measure?arrow_forwardName: Problem 1: Managerial Economics, Assignment 5 April 20, 2025 If the sales of your company have grown from $500,000 five years ago to $1,050,150 this year, what is the compound growth rate? If you expect your sales to grow at a rate of 10 percent for the next five years, what should they be five years from now?arrow_forward
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