Macroeconomics
Macroeconomics
5th Edition
ISBN: 9781319098759
Author: Paul Krugman, Robin Wells
Publisher: Worth Publishers
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Chapter 9, Problem 4P
To determine

the table and draw the 2 production functions in one diagram.

Concept Introduction:

Gross Domestic Product (GDP): It refers to the gross money value or gross market value of all the finished goods and the services produced by the normal resident and nonresident people of the country that is within that particular within the borders of the country in an accounting year.

Rule of 70: It is the formula to estimate that how long a variable will take to get doubled.

Formula to calculate number of years to double a variable,

    Macroeconomics, Chapter 9, Problem 4P

Here,

  • R is current constant growth rate.
  • N is number of year it will take to be double.

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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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