Econometrics UE Past Papers Questions.


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(2601) Question Category: Mathematical Calculation

  1. What is ANOVA
  2. Using your knowledge of ANOVA complete all missing values in Table below.
Source of variation Sum of square(SS) Degree of freedom (df) Mean square (MS)=(SS/df) F-statistic
Regression(ESS) 250.75   250.75  
Residual (RSS)        
Total(TSS) 575.40 15    
  1. Explain why the test statistic used in ANOVA should be F-statistic.
  1. Given this F-test what are numerator`s and denominator`s degree of freedom?

Answer / Solution

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(2602) Question Category: Mathematical Calculation

Read the data presented in the table below carefully:

Sample data on maize prices(TZS/Kg) and inflation rate

Maize price (Y) 1200 1300 1350 1350 1400 1460 1500 1700
Inflation rate(x) 3.5 3.9 4.0 4.3 4.7 4.8 5.0 6.2

r=frac{nsum xy-sum xsum y}{sqrt{[n(sum x^{2})-(sum x^{2})][n(sum y^{2})-(sum y)^{2}]}}

t=frac{r}{sqrt{frac{1-r^{2}}{n-2}}}

  1. Using data presented above, calculate the sample correlation between maize price and inflation rate
  2. Interpret the correlation coefficient
  3. State the null and alternative hypothesis to test whether there is a significant linear association between maize price and inflation rate.
  4. What conclusion will you make? Note that  t(6)=2.4469.

Answer / Solution

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(2603) Question Category: Short answers

  1. Describe the linear probability model (LPM) and give an example of its use in agriculture or any other sector of the economy.
  2. Describe the difference between the ordinary least squares (OLS) model and LPM
  3. In a logit model what is the interpretation of a slope coefficient for a particular variable in the model?

Answer / Solution

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(2604) Question Category: Mathematical Calculation

Read the data presented in the table below.

Average maize yield in Kg/Ha among farmers in Mbozi District, Mbeya region.

Farmer`s ID 1 2 3 4 5 6 7 8 9 10 11 12 13 14
Yield(kg/Ha) 30 64 30 29 40 52 67 29 64 37 40 67 29 37
Farmer`s ID 15 16 17 18 19 20 21 22 23 24 25 26 27 28
Yield(kg/Ha) 67 29 64 37 64 30 64 30 29 40 52 67 29 64
Farmer`s ID 29 30 31                      
Yield(kg/ha) 37 40 67                      

Using the data presented in the table above answer the following questions:

  1. Find the sample variance and standard deviation of maize yield.
  2. Find the 95% confidence interval (C.I) for the true mean
  3. Based on this interval test whether the mean yield is less that 50Kg/Ha.

Answer / Solution

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(2691) Question Category: Mathematical Calculation

The following table shows data on the number of visitors (v) to Serengeti National Park and the amount of money they spent (m).

Number of visitors v(1000) 2450 2480 2540 2420 2350 2290 2400 2460
Amount of money spent m(1000 US $) 1370 1350 1400 1330 1270 1210 1330 1350
  1. Find the correlation coefficient between m and v
  2. Give a reason to support fitting a regression model of the form m=alpha +eta v+ mu to these data.
  3. FInd the estimator of eta correctly to two decimal places
  4. Find the equation of the regression line
  5. Interpret the value obtained in part (c)

Answer / Solution

UNSOLVED

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