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Econometrics questions.

Econometrics questions.

Find Econometrics university examination questions in acaproso.com

# Question
1

In a sample of 300 students there are 120 Females of which 12 are left handed and 180 Males of which 24 are left handed. It is also known that hand preference and sex are independent.

  1. Find P(left Handed| Female) i.e the probability that a female student will have her left hand as prefered/ most active hand?
  2. Find (P(-left Handed | Male)
  3. Find P(left handled)
  4. Find P(right handled| Male)
  5. Find P(Right handled | Female)
  6. Find P(Right Handed)
  7. Find P(Left handed)+ P(Right handed)
  8. Give your answer in (g.) is this a valid probability distribution?
  1. Yes
  2. NO

Mathematical Calculation
2

Explain the assumptions of the Classical linear regression model (CLRM) and how each of them impairs econometric estimation.


Short answers
3

Given an account how one can simply detect and address the problem of multicollinearity.


Short answers
4

You are working for an organization where you are asked to undertake a research that you will ultimately end up in forecasting economically the likely influence of an independent variable on the outcome/ dependent variable. What steps would you follow to undertake such an econometric assignment?


Long answers
5

Consider 10 households with monthly consumption expenditure per capita Y and disposable income  X1. The data are as presented below.

Y1 70 65 90 95 110 115 120 140 155 150
X1 80 100 120 140 160 180 200 220 240 260

Answer the following questions

  1. Develop a mathematical model relating consumption and disposable income
  2. Develop an econometric model relating consumption and income
  3. Through manual computation, derive the parameter estimates, i.e intercept, b1 and the marginal propensity to consume (MPC), b2
  4. Then the income increase by a unit , by how much does consumption increase?
  5. Compute the coefficient of determination, r-squared, to show the percentage variation Y explained by X.

Mathematical Calculation
6

A phone industry manager thinks that customer monthly cell phone bill have increased, and now average over $52 per month. The company wishes to test this claim.

What is the null hypothesis for this test?

  1. H_{0}:muleq52
  2. H_{0}:mu eq52
  3. H_{0}:mu> 52
  4. H_{0}:mugeq 52
  5. H_{0}:mu= 52
  6. None of the above

Multiple choices
7

Frequency Table

Days to compete a task 5 6 7 8
Frequency 4 12 8 2

Given the frequency table, what is the expected number of days for one of to complete a task?

  1. 6.50 days
  2. 6.35 days
  3. 6.31 days
  4. 6.45 days
  5. 6.41 days
  6. 6.51 days

Multiple choices
8

Observed values of Y

Y 78 74 89 81 87 65 90 61 90 78 78 71 76 76
  1. What is the expected value of Y
  1. 75.63
  2. 78.14
  3. 76.89
  4. 76.98
  5. 77.90
  6. 79.21
  1. What is the sample variation of Y
  1. 79.21
  2. 77.65
  3. 81.32
  4. 75.98
  5. 76.21
  6. 75.98
  1. What is the coefficient of variation for Y
  1. 12.02 %
  2. 11.39%
  3. 13.25%
  4. 13.59%
  5. 24.24%
  6. 13.14%

Multiple choices
9

Explain how one can detect and address the problem of multicollinearity.


Short answers
10

Determine the regression line of Y on X from the following data without calculatiion.

X 11 12 13 14 15 16 17 18 19 20
Y 4 4 4 4 4 4 4 4 4 4

 


Short answers