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MA251 Final Exam - Statistics II
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MCQs on Statistics.

MA251 Final Exam - Statistics II
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25 Questions

1. You were asked to conduct a regression analysis to determine the relationship between a dependent variable and 8 independent variables, using 56 observations.You obtained the following information from the computer outputs: R Square = 0.80 and SSR = 4,280.Determine the value of F-test for the regression.
2. Rj2 is the coefficient of determination of the model that includes all predictors except the jth predictor.For x1, R12 = 0.95, calculate the variance inflation factor for x1 and determine whether there is a problem with multicollinearity.
3. You have three groups of patients, and each group is comprised of ten males and ten females.The dependent variable is the reduction in cholesterols following a treatment. You predict that Group A will respond to treatment better than Group C, and that males will respond to treatment less than females.Which method do you use to confirm your prediction?
4. Which of the following is NOT true about multicollinearity?
5. The sample variance for X and Y are 1 and 4, respectively.The sample correlation is 0.5.What is the slope of the least squares line?
6. Which of the following is always true when we add an independent variable to a multiple regression model?
7. In a period of eight years, the revenue of a company (in $ millions) was 25, 26, 28, 27, 26, 29, 29, and 34.For the same period, the spending on advertisement (in $ thousands) was 16, 13, 15, 14, 16, 17, 19, and 22.Estimate the percentage of variation in revenue explained by variation in advertising.
8. Fill in the blank. ________ is used to test the significance of multiple regression model.
9. Which quantity measures the variability of the observed values of the response variable around their respective treatment means?
10. When do you need to use dummy variables in a multiple regression?
11. Which of the following statement is correct?
12. Fill in the blank. In multiple regression analysis, ________ occurs when independent predictors are correlated with one another.
13. Compute the value of F0.5 with 8 numerator and 19 denominator degrees of freedom.
14. Which of the following is the definition of R2?SSR is the regression sum of squares, SST is the total sum of squares, and SSE is the sum of squares of residuals.
15. What is the principle of parsimony when building models?
16. Which of the following method is used in data mining?
17. You were asked to perform a regression analysis performed on a sample with forty-five observations to quantify the relationships between one dependent variable and four independent variables.You obtained R2 = 0.8 and sum of squares (SSR) is 680. Determine the degrees of freedom and F-statistics for the regression.
18. Which of the following criteria is used to determine the best regression model?
19. Which of the following is a method of multivariate analysis?
20. Which of the following is Type I error?
21. What are the consequences of heteroscedasticity in ordinary least square estimates?
22. In the model y = a0 + a1x + a2x2, what is the value of a2 if the relationship between y and x is linear?
23. What is the F ratio in a one-way ANOVA?
24. Calculate the coefficient of determination.
25. Which of the following is the equation for logistic regression?

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