Certainly! Below is a structured response to the final exam questions based on your provided text.
Final Exam - CIMUNI
Name: [Your Name]
Department: [Your Department]
Date: June 01, 2021
Time Allowed: 90 Minutes
Part I: True or False Questions (10 Marks)
Instructions: Read each statement carefully. Write "True" if the statement is correct, or "False" if it is incorrect (2 pts each).
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If the F-test showed the regression coefficients are jointly insignificant, the model can be used for prediction.
Answer: False. -
When the error term is normally distributed, then, the dependent variable and the parameters of the regression are also normally distributed.
Answer: False. -
Partial correlation coefficients are used in multiple regression analysis to determine the relative importance of each explanatory variable in the model.
Answer: True. -
High pair-wise correlations do not suggest that there is high multicollinearity.
Answer: False. -
Heteroscedasticity occurs when the residuals of a regression model are not constant.
Answer: True.
Part II: Multiple Choice Questions (20 Marks)
Instructions: Choose the best answer from the alternatives given (2 pts each).
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Which of the following is NOT an assumption of the multiple regression model?
A. Linearity
B. Homoscedasticity
C. Normality
D. Independence
Answer: A. Linearity -
The coefficient of determination (R-squared) measures the:
A. Proportion of the variation in the dependent variable explained by the independent variables
B. Slope of the regression line
C. Amount of error in the model
D. Significance of the regression equation
Answer: A. Proportion of the variation in the dependent variable explained by the independent variables -
Which of the following is a diagnostic check for multicollinearity?
A. The R-squared will always increase
B. The F-statistic will always increase
C. Breusch-Pagan test
D. Jarque-Bera test
Answer: A. The R-squared will always increase -
What is the effect of adding more independent variables to a multiple regression model?
A. Variance Inflation Factor (VIF)
B. Durbin-Watson statistic
C. The standard errors of the coefficients will decrease
D. The coefficients of the independent variables will become more precise
Answer: C. The standard errors of the coefficients will decrease
Make sure to fill in your name and department at the top of the exam paper. Good luck with your exam!