old_finals.pdf

# old_finals.pdf - Final Exam Fall 2016 1 A dummy variable...

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Final Exam, Fall 2016 1) A dummy variable can be assigned up to three values. a) True b) False 2) Transformations may be used when nonlinear relationships exist between the response and explanatory variable when performing regression. a) True b) False 3) The value of the coefficient of determination can never decrease when more variables are added to the model. a) True b) False 4) For statistical tests of significance about the regression coefficients, the null hypothesis is that the slope is 1. a. True b. False 5) If the assumptions of regression have been met, residuals plotted against the independent variable(s) will typically show patterns. a) True b) False 6) The noise in a regression model is assumed to have zero variance. a. True b. False 7) The SSR value indicates how much of the total variability in the dependent variable is explained by the regression model. a) True b) False 8) A uniform distribution has a smaller standard deviation than a mound shaped distribution, since the uniform distribution is flat while the mound shaped distribution is not flat. a. True b. False 9) If a 95% confidence interval for the mean was computed as (25,50), then if several more samples were taken with the same sample size, then 95% of them would have a sample mean between 25 and 50. a. True b. False

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10) 15 cards are selected out of a 52 card deck such that after each card is selected, it is placed back into the deck and the deck is reshuffled. Then the total number of hearts selected follows a binomial distribution. a. True b. False 11) If the equation of the least squares regression line was computed to be y=45.7+3.1x, then the correlation cannot be less than 0. a. True b. False 12) If the equation of the regression line that relates percent blood alcohol (x) to reaction time in milliseconds (y) is y=36 - 1.3x, then the slope tells us that for every percent increase in blood alcohol, we can expect reaction time to go down by 1.3 milliseconds a. True b. False 13) A researcher found the correlation between age of death and number of cigarettes smoked per day to be -0.95. Based just on this information, the researcher can justly conclude that smoking causes early death. a. True b. False 14) When computing confidence intervals for paired differences, only the difference values (x1 x2) are used and not the original values of x1 and x2 to compute the mean and standard deviation. a. True b. False 15) With a large sample size such as n = 100, we do not need to assume the distribution is normal in order to compute a 95% confidence interval for the mean. a. True b. False 16) If a 95% confidence interval for the mean number of hours that students study per week is (18,23), then there is a 95% chance that a randomly selected student will study between 18 to 23 hours per week. a. True b. False
17) Consider a large number of countries around the world. There is a positive correlation between the number of Nintendo games per person x and the average life expectancy y. Does this mean that we could increase the life expectancy in Rwanda by shipping Nintendo games to that country?

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