Principles of Macroeconomics 2e
Principles of Macroeconomics 2e
2nd Edition
ISBN: 9781947172388
Author: Steven A. Greenlaw; David Shapiro
Publisher: OpenStax
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Chapter 14, Problem 20RQ

What is the formula for the money multiplier?

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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 Macroeconomics 2e

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