MACROECONOMICS
14th Edition
ISBN: 9781337794985
Author: Baumol
Publisher: CENGAGE L
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Chapter 8, Problem 3DQ
To determine
To describe: The meaning of Marginal propensity to consume, which is 0.90 for United States and also to explain the personal MPC at this stage of the life and the changes, when it reaches to the parents’ age.
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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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