ECON MACRO (with MindTap Printed Access Card) (New, Engaging Titles from 4LTR Press)
ECON MACRO (with MindTap Printed Access Card) (New, Engaging Titles from 4LTR Press)
6th Edition
ISBN: 9781337408738
Author: William A. McEachern
Publisher: Cengage Learning
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Chapter 9, Problem 8P
To determine

Components of aggregate expenditure, component that varies with changes in level of real GDP and slope of aggregate expenditure line.

Introduction: Aggregate expenditure is a measure of national income. It is defined as the current value of all the finished goods and services in the country. The aggregate expenditure is thus the sum total of all the expenditures undertaken in the economy by the factors during a given time period.

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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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