Econometrics UE Past Papers Questions.

The following are random observations from a certain population : 15,25,35,20,30,65,72,87,89,78,89,98,102,69,56,78,89,56,67,89,90,89,56,90,78,56,98,103,56,79 and 56.

Find

1. The mean
2. The mode
3. The median
4. The range
5. The minimum
6. The maximum
7. The sample variance
8. The population variance
9. The sample standard deviation
10. The population standard deviation.

Answer / Solution

UNSOLVED

The table below shows data on X and Y observed from a certain population

Given that

  and

1. Calculate the values of and
2. Find
3. Find the errors

Answer / Solution

UNSOLVED

The following are results obtained from a linear regression model after post estimationof problems that are commonly encountered during the estimation process.

Model summary

Predictors: (Constant), Farm income, Non wage income, Wage income

Dependent Variable Consumption, Expenditure

ANOVA

Predictors:(COnstant), Farm income, Non wage income, Wage income.

Dependent Variable: Consumption, expenditure

Coefficients

Using your knowledge on linear regression to answer the following questions

1. Specify a regression model that was estimated and state whether the independent variables are jointly significant (use alpha=1%)
2. Identify the coefficients of the regression model that are statistically significant at the level of significance of  0.01
3. What problems were tested during the post estimation? What additional problem should have been tested?
4. Is there any assumption of the ordinary least square model that was violated ?
5. What is the best way(s) to deal with this/ these problem(s)?

Answer / Solution

UNSOLVED

Y and X are sample data for crop yield and amount of fertilizer applied to the crop respectively

Given that , , and

1. Calculate the estimates of   and
2. Find for n=(1,2,3,4,5)
3. Find the errors
4. In view of theory on linear regression what is the expected value of errors?
5. In practice what is the ideal way to test whether the values of the predicted errors are consistent with the theory?

Answer / Solution

UNSOLVED

1. What is confidence interval?
2. Ready carefullly the data presented in the table below

Coursework grades for students enrolled in statistics at SUA.

Using the data presented in table above answer the following questions

1. Find the sample variance and standard devication of these coursework grades
2. Find the 95% confidence interval (C.I) for the true mean
3. Based on this interval test whetehr the mean grade is at least 50%.

Answer / Solution

UNSOLVED