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W09_FinalA - EC 41 UCLA Winter 2009 Final Exam Version A...

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EC 41, UCLA Winter 2009 Name (print)________________________________ Final Exam - Version A – 3/20/09 TA: Name__________________________ & Section Time_____________ - Only pens, pencils and erasers may be used, this is a closed book, closed note, exam. - Students may use a calculator, but nothing that can access the internet. - Write non-integer answers to 3 significant digits, e.g., 333, or 3.33 or .0333 - This exam consists of 20 True/False (20 points), 10 short answer (30 points) and 5 longer questions (50 points) - Clearly write answers on this exam. No points are awarded for illegible answers. - Be prepared to show a photo ID during the exam (e.g., UCLA ID) - You may leave when finished. Do not disrupt those still taking the exam. I. Circle T for True or F for False (1 point each) 1) T or F For a least squares regression, if x x μ = and y y μ = ; then 1 1 0 0 β β < < b implies b 2) T or F For a least squares regression, the standard error of the “ estimated value of the mean response,” is always larger than the standard error of the “estimate value of the response variable, y.” 3) T or F Consider n individuals who take a pre and post test. The t-calc for a matched pairs t-test will be larger than the t-calc for a two sample t-test assuming unequal variances . 4) T or F The p-value from Excel regression output assumes a one-sided alternate hypothesis, H A 5) T or F It is only theoretically appropriate to perform a least squares regression if true values of y can be entirely explained by changes in x, so all population observations lie on the straight line for the true population. 6) T or F The estimate of a regression intercept will have smaller standard error if the sample mean of X is closer to 0. 7) T or F A least squares regression of Y on X assumes that X is measured without error. 8) T or F If X and Y have the same standard deviations, s X = s Y , then the slope of the reverse regression must be the same as the slope of the forward regression. 9) T or F If there are 9 observed changes in a variable after treatment, seven increases and one decrease, then the p-value from the sign test where H 0 : Median = 0, against H A : Median > 0 (there was an increase after treatment) = .03516 10) T or F If all observed data points lie on a straight line, the regression slope b will equal one. 11) T or F For any lease squares regression line, if the independent variable X is one standard deviation above the mean of X, the corresponding predicted value of Y can not be less than one standard deviation above the mean of Y. 12) T or F If the random variable Z = X + Y, then the mean of Z is the sum of the means of X and Y ( μ Z = μ X + μ Y ) 13) T or F If two events are disjoint, then they have no outcomes in common. 14) T or F A confidence interval gets wider (larger) as the level of significance, α , is reduced. 15) T or F If two investments had perfect negative correlation so correlation between their returns = -1, it would be theoretically possible to form a portfolio with no risk (standard deviation and variance = 0).
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