ECON10005 Quantitative Methods 1 Assignment 2 Question 2
Question 2
(a)
The central limit theorem proposes that given the population is normally distributed,
the sampling distribution is also normally distributed despite the size of sample. The
random sam
1
The sequence of hypothesis tests in the context of regression
Estimating and predicting y Keller pp 647-652
Estimating E (Y ) = 0 + 1 X for a given value of X
Predicting Y = 0 + 1 X + for a given value of X
Example: Ford lasers
Dangers of extrapolati
[ECON10005: QUANTITATIVE METHODS 1:
Semester 1, 2013 LECTURE REVISION NOTES]
Lecture One:
Descriptive statistics is a process of concisely summarising the characteristics of sets of data.
Inferential statistics involves constructing estimates of these cha
ECON10005 Quantiative Methods 1 Assignment 1 Question 3
Q 3(a)
GDP line chart:
Table of descriptive statistic for the GDP:
All sectors ; GDP
Mean
Standard Error
Median
Mode
Standard
Deviation
Sample Variance
Kurtosis
Skewness
Range
Minimum
Maximum
Sum
Cou
ECON10005 Quantitative Methods 1 Assignment 2 Question 1
Question 1
(a)
The confidence interval estimator is ,
Where , and .
For 95% confidence level, the critical value is
Therefore
From the tables
Therefore the confidence estimate is [92,006, 99,994].
W
ECON10005 Quantiative Methods 1 Assignment 1 Question 2
Q 2.
The inference made about the population of voters based on the evidence
provided by the sample is likely to be incorrect and unreliable. The sample
used by the political blog is clearly not true
ECON10005 Quantitative Methods 1 Assignment 1 Question 4
Q 4(a)
Thus from our basic knowledge of exponential curve we can deduce that the
graph of this function is a decreasing exponential curve:
Because we can deduce that S() is always positive because i
1.
: Hypothesis that gender and position are not related
: Hypothesis that gender and position are related
Observed Frequency
Entry level
Male
Female
Total
10
10
20
Middle
management
30
50
80
Upper
management
60
40
100
Total
Upper
management
50
50
100
Tot
Perdisco for Quantitative Methods (STAM4000) in Trimester 1 (T1 2016)
Online resources from Perdisco will be used to help support student learning for STAM4000 in Trimester 1
(T1). Perdisco has practice exercises and homework exercises, which have been de
ECON10005 Quantitative Methods 1
Summary of Key Formulae
and Probability Tables
SUMMATION NOTATION
1. Definition:
n
X
Ri = R1 + R2 + . . . + Rn
i=1
Pn
bRi = b i=1 Ri , where b is any value that does not depend on the
index i.
Pn
3.
i=1 k = nk, where k is
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HW4 - Probability [feedback page]
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HW11 - Sampling distributions [feedback page]
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STAM4000 QUANTITATIVE METHODS
Exam Revision Materials
Below are some questions for review in Week 12 lectures and tutorials
Please also revise the material from the lectures and tutorials for Weeks 6 to 11
Please ensure that you complete some of the re
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HW5 - Probability and enumeration [feedback page]
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HW9 - Continuous distributions 1 [feedback page]
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2
3
In our disciplines it is convenient to distinguish between two
different types of data
1. Cross section data:
Calculators (from the subject outline):
For this subject you will need a calculator and you will need
to bring one to your tutorials.
If you
2
316-130 QM1 Lecture 13
Hypothesis Testing (continued)
Third (and last) assignment will be handed out next lecture
Hypothesis tests and proportions: Two tail and one tail tests
(Greenpeace, Optus and the Greens) Keller Ch 12, pp 404407
Hypothesis test
1
2
Laspeyres Price Index
This is the most common method for constructing an index number
series.
It uses base period weights (see next slide)
pit qio
It can be thought of as I tLP = i
100
pio qio
i
The numerator pit qio is a measure of what it would
2
Regression analysis
It is used to:
- find equations that best fit data
- test hypotheses about relationships between variables
- forecast/predict
Can be linear or non-linear
Can involve any number of variables and the variables can be
measured different
1
2
Testing the Significance of the Regression Coefficient, 1.
Recall that:
The true or population regression line is yi = 0 + 1 xi + i
The estimated regression line is y = + x
316-130 QM1 Lecture 16
Simple linear regression and correlation (cont.) Keller
1
2
Our lecture example is the relationship between the price of used
Ford Lasers and how many kilometres they had travelled (as shown
on the cars Odometer).
316-130 QM1 Lecture 15
Simple linear regression and correlation (aka Econometrics)
Keller Ch 16
1
316-130 QM1 Lecture 21
Index numbers
Keller CD Appendix Document coded AC
(A copy is on the LMS under Lecture 21)
Last three lectures
A Simple Index and measuring changes in real income
Splicing two indexes together
The ASXs All Ordinaries index (ve
1
316-130 QM1 Lecture 18
Simple linear regression and correlation: Extensions
Statistical tables for the exam (I will give you these next lecture)
Elasticities
Estimating elasticities using logarithms
Example 1: The demand for heroin and crime (the wa
Quantitative Methods 1
Practice Exam SOLUTIONS
Total of 40 Marks Available
Question 1: (6 Marks)
Define, compare and contrast the following objects. Illustrate your points
using an example of your choice:
1. Parameter
2. Estimator
3. Estimate
SOLUTION:
Quantitative Methods 1
Assignment 1: Describing & Depicting Data
This assignment has three questions, and is due by 4.00pm on Friday March
27. It is to be submitted electronically as a .pdf file using the assignment tool on
the subjects LMS page. Marks de