EBK PRINCIPLES OF ECONOMICS
7th Edition
ISBN: 8220102958395
Author: Mankiw
Publisher: CENGAGE L
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Question
Chapter 18, Problem 1QR
To determine
To determine: How the production function is related to marginal productivity of labor.
Expert Solution & Answer
Explanation of Solution
The production function represents the relationship between the quantity of factors of production and the total quantity output produced. Labor is one of the important factors of production. If the marginal factors of production increase, the total quantity of production also increases. That is, the changes in marginal product of labor directly affect the production function. The value of marginal product of labor is equal to the wage rate. Thus, the relationship between the value of marginal product of labor and
Economics Concept Introduction
Concept introduction:
Production function: Aproduction function shows the relationship between quantity of input and quantity of output used during the production process.
Marginal product of labor: Marginal product of labor refers to an additional product to the total product due to a change in one unit of labor.
Value of marginal product of labor: Value of marginal product of labor is the monetary value of the marginal product of labor.
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I need help in seeing how these are the answers. If you could please write down your steps so I can see how it's done please.
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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