Chapter 2
1
Final
Lecture Notes: Chapter 2: Measuring the Macroeconomy
J. Bradford DeLong http:/econ161.berkeley.edu/ [email protected]
The Importance of Data
Economics is a social science: it is about us, about what we do. Thus it shares with othe
Chapter 5
1
Final
Lecture Notes: Chapter 5: The Reality of Economic Growth: History and Prospect
J. Bradford DeLong http:/econ161.berkeley.edu/ [email protected]
Before the Industrial Revolution
Economic Growth Through Deep Time
Longest-Run Economi
Chapter 10
1
Final Candidate
Lecture Notes: Chapter 10: Investment, Net Exports, and Interest Rates
J. Bradford DeLong http:/econ161.berkeley.edu/ [email protected]
Interest Rates and Aggregate Demand
The Importance of Investment
Changes in investm
Chapter 12
1
Final
Lecture Notes: Chapter 12: The Phillips Curve and Expectations
J. Bradford DeLong
Aggregate Supply and the Phillips Curve
Unemployment
Okuns law, which you will recall is the simple yet strong relationship between the unemployment rate
The following graph shows the demand for and supply of loanable funds. Borrowers and lenders expect 2% inflation down the road.
5%
4%
3%
2%
1%
-1%
-2%
$4,000
$3,800
$3,600
$3,400
$3,200
$3,000
$2,800
$2,600
$2,400
$2,200
$2,000
$1,800
$1,600
$1,400
$1,200
Mat22A: Practice Exam 1
Problem 1. (20 pts) Find all solutions (if any) of the system of equations
3x1 + 3x2 + 2 + 6x3 = 3
3x1 + x2 + x3 = 1
2x1 + 4x2 + 9x3 = 4.
State clearly whether there are no solutions, one unique solution, or an infinite number of s
THE COMPLETE LEAST SQUARES SOLUTION
Following up on my previous email, the least squares formula
x = (ATp Ap )1 ATp b
where Ap is the pivot column submatrix of A. Note, however, x contains only the pivot
variables of the least squares solution.
What about
MAT22a Midterm One
1.
2.
3.
4.
Please write your name on the cover sheet.
Write your answers on the exam paper.
Calculators, cell phones, and other electronic devices are not allowed.
Good luck!
1. Write down the augmented matrix for the linear system
x 2