Macroeconomics for Today
10th Edition
ISBN: 9780357161494
Author: Irvin B. Tucker
Publisher: Cengage Learning US
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Chapter 6, Problem 15SQ
To determine
The statements of the
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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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Tasks
Exercise 1
Assess the following functions:
1. f(x)= x2+6x+2
2.f '(x)=10x-2x2+5
a. Find the stationary points. (5 marks)
b. Determine whether the stationary point is a maximum or minimum. (5 marks)
c. Draw the corresponding curves (5 marks)
Chapter 6 Solutions
Macroeconomics for Today
Ch. 6.4 - Prob. 1YTECh. 6.4 - Prob. 2YTECh. 6.4 - Prob. 3YTECh. 6.5 - Prob. 1YTECh. 6 - Prob. 1SQPCh. 6 - Prob. 2SQPCh. 6 - Prob. 3SQPCh. 6 - Prob. 4SQPCh. 6 - Prob. 5SQPCh. 6 - Prob. 6SQP
Ch. 6 - Prob. 7SQPCh. 6 - Prob. 8SQPCh. 6 - Prob. 9SQPCh. 6 - Prob. 10SQPCh. 6 - Prob. 11SQPCh. 6 - Prob. 1SQCh. 6 - Prob. 2SQCh. 6 - Prob. 3SQCh. 6 - Prob. 4SQCh. 6 - Prob. 5SQCh. 6 - Prob. 6SQCh. 6 - Prob. 7SQCh. 6 - Prob. 8SQCh. 6 - Prob. 9SQCh. 6 - Prob. 10SQCh. 6 - Prob. 11SQCh. 6 - Prob. 12SQCh. 6 - Prob. 13SQCh. 6 - Prob. 14SQCh. 6 - Prob. 15SQCh. 6 - Prob. 16SQCh. 6 - Prob. 17SQCh. 6 - Prob. 18SQCh. 6 - Prob. 19SQCh. 6 - Prob. 20SQ
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