ECON 3210 Study Guide - Midterm Guide: Simple Linear Regression, Type I And Type Ii Errors, Interval Estimation
9 Feb 2013
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Total ___: [25 marks] indicate whether each of the following statements is true, Circle only one answer below each statement: a) [5 marks] an interval estimate of the slope parameter, based on one sample of data, includes the true value of the slope if the sample size is sufficiently large. 3y is a random sample from a ia are constants for i = 1, 2, 3. Consider the following estimators of the population mean: 4: a) [9 marks] show that y~ and y are linear and unbiased estimators of the population mean. Y~ and y are linear estimators since each estimator can be written as iya , where. )y(e: b) [6 marks] find the variances of y~ and y . )yvar: c) [6 marks] explain briefly which one of the two estimators ( y~ or y ) you would prefer. From 2. a) , y~ and y are unbiased. Find e(z), var(z), and the distribution of z.
