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Midterm Review
Questions
46
Economics
Undergraduate 3
03/03/2016

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Cards

Term
The sample analyzed in report 1 was from what year of the Malawi Household survey?
Definition
2010-2011
Term
What is the most common native language in Malawi?
Definition
Chichewa
Term
The country of Malawi shares its borders with what 3 countries?
Definition

Mozambique

 

Zambia

 

Tanzania

Term
In Malawi, annual GDP per capita in recent years has been what?
Definition
Less than $400 USD
Term
When a Distribution is right-skewed....
Definition
the mean exceeds the median
Term
The sum of the deviations about the mean
Definition
is 0 in every sample
Term
A random variable, X, has a density function. Its cumulative distribution function is F(x), which measures what?
Definition
Area under F(x), to the left of x
Term
An optimal predictor of a random variable Y, as discussed in Chapter 1, what?
Definition
minimizes expected loss
Term
The random variable X has the density function f(x) and cumulative density function F(x). The value of x such that F(x) = 0.5 is?
Definition
the median of X
Term

Consider this sample drawn from the distribution of X: 

 

1,2,2,3,7

 

What is the value ψ that minimizes?

Definition
2
Term
Given that E(X) = u, identify the correct statement
Definition
E(X-u)^2 = E(X^2) - u^2
Term
A major axis is plotted through a scatter plot of house price and house size, P and S respectively. A forecaster wants to minimize the expected value of the square of the forecaster error. What is correct?
Definition
no answers
Term
What is true about a dummy variable?
Definition

Values are either 1 or 0

 

If you know the mean, you know the variance

 

Skew is positive if the mean is less than 0.5

Term
The mean of a dummy variable is 0.48. What are the median and 3rd quartile values?
Definition
Median is 0, third quartile is 1
Term
What does the Law of Large Numbers state?
Definition
a sample mean converges on the population mean as the sample size increases
Term
The skewness of a distribution is measured using which sample moment?
Definition
third
Term
A histogram with m bins has density, d, on the vertical axis. What is most appropriate?
Definition
O < or = to dj
Term
To say that Φ hat is a consistent estimator of the population parameter Φ is to say what?
Definition
Φ hat is an efficient estimator of Φ
Term
What correctly describes marginal, joint and conditional probabilities?
Definition
p(x,y) = p(xly)p(y)
Term
F and U are dummy variables. In a sample, Cov(F, U) <0 which implies what?
Definition
the ratio of women to men is lower in the urban subsample than in the rural subsample
Term
Suppose a population mean regression function E(YlX) is linear. This implies what?
Definition
The slope of the linear regression is σxyx2
Term
In any sample X1, X2, X3 what?
Definition
∑(Xi - xbar) = 0
Term

By definition the sample covariance of X and Y is

 

1/n∑(Xi-xbar)(Yi-ybar)

 

Can the sample covariance be simplified to 

 

1/n∑XiYi?

 

Definition
Yes, if 1 of the means is 0
Term
What number is closest to the sample size used in Report 1?
Definition
9000
Term
What is true of Malawi?
Definition
A land-locked Sub-saharan sountry south of the equator
Term
According to World Bank data, Malawi's per capita income places the country where?
Definition
Amongst the 5 poorest countries in the world
Term
The currency most commonly used in Malawi is what?
Definition
Kwacha
Term
What proportion of Malawians claim to read and write in the most common native language?
Definition
75%
Term
The skewness of a distribution is measured using which sample moment?
Definition
third
Term
What does cov(F, Educ) measure?
Definition
It will certainly be positive if women have more education than men
Term

Consider 1,2,3,3,7. What is the value of ψ that minimizes 

 

∑(Xi-ψ)^2?

Definition
3
Term
To say that 0 hat is an unbiased estimator of the population parameter 0 is to say what?
Definition
E 0 hat = 0
Term
The population mean regression of Y on X is linear. The slope of this mean regression line is what?
Definition
σYX/ σx2
Term
the relationship between relative frequency, f, density d, and bin width, w, is what?
Definition
d = f/w
Term
R plots a histogram with density on the vertical axis when?
Definition
bin widths vary
Term
When the loss from making prediction errors is the square of the prediction error, the expected loss when the optimal predictor is equal to what?
Definition
variance or conditional variance of the random variable
Term
Galton discovered the concept of "regression towards the mean" while investigating the heights of parents and children. What did he find?
Definition

Taller than average parents have adult children who on average are shorter than them

 

taller than average children have parents who on average shorter than them 

Term
What does the Law of Large Numbers state?
Definition
a sample mean converges on the population mean as the sample size increases
Term
Samples that are right-skewed tend to have
Definition
means that are greater than medians
Term
True or False - 75% of observations lie below the third quartile?
Definition
True
Term
The mean of a dummy variable is 0.52. What is the median and 3rd quartile values?
Definition
both are unity
Term
In Educ there was a large number of 0 values. What was this largely due to?
Definition
All children who did not complete grade 8 were assigned 0 years of education
Term
In Educ there was a large number of 0 values. What was this largely due to?
Definition
All children who did not complete grade 8 were assigned 0 years of education
Term
Discrete random variables X and Y both take on 1 of 2 values: 1 and 2. They are positively correlated. What is appropriate?
Definition
E(X l Y =1) < E(X l Y =2)
Term
How is a mean regression function estimated?
Definition
Method of moments
Term
X and Y are random variables that follow a bivariate normal distribution. State 3 facts that are true.
Definition

Population of Y given X is linear

 

Conditional distribution of Y given X is symmetric

 

The conditional variance of Y given X is independent of X 

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