It should be admitted that there are abstract things and superstitious feelings of events in our daily life. Though they are common to us all, they are sometimes unexplainable. Therefore, they are labeled Superstitious phenomena can sometimes occur. Although we are troubled by these mysteries, we need not despair, because the force of love makes the world go round

Words accompany, attractive, crazy, influence, I communication create instrument, mostly, perform, popular, similar, I entertain, export, festival symbol musical, occasion, religion religious. remind Phrases be similar to, go back to, grow up, have all over, bring together,go

1. We plan to reach the Pole in mid-July, and by then we for six weeks A)are walking B)have been walking C) will be walki D)will have been walking

1. If you had come earlier, you the famous scientist a could be met b. might meet c would have met d. would meet

Choosing a Topic Start with a general area or set of questions Make sure you are interested in the topic Use on-line services such as EconLit to investigate past work on this topic Narrow down your topic to a specific question or issue to be investigated Work through the theoretical issue Economics 20-Prof. Anderson

Consistency e Under the Gauss-Markov assumptionS OLS IS BLUE, but in other cases it wont always be possible to find unbiased estimators o In those cases, we may settle for estimators that are consistent, meaning as n→>∞,the distribution of the estimator collapses to the parameter value Economics 20- Prof anderson

Testing for AR(IS eria Correlation Want to be able to test for whether the errors are serially correlated or not Want to test the null thatp=0 in u,=pu, 1 +et=2.. where u is the model error

Why study econometrics? Rare in economics(and many other areas without labs! ) to have experimental data Need to use nonexperimental. or observational data to make inferences eImportant to be able to apply economic theory to real world data Economics 20- Prof. Anderson

Dynamics Introduction 1. The subject of dynamics is the relation between the mechanical motion of a material body and the force acting on it. 2. Two models of mechanics. )A particle is a material body possessing mass, the shape and size of which can be neglected in investigating its motion

then there exists AE R\ such that (Kuhn-Tucker condition) G(s') =0 and 1. Lagrange Method for Constrained Optimization FOC: D.L(,\)=0. The following classical theorem is from Takayama(1993, p.114). Theorem A-4 (Sufficieney). Let f and, i= ,..m, be quasi-concave, where Theorem A-1. (Lagrange). For f: and G\\, consider the following G=(.8 ) Let r' satisfy the Kuhn-Tucker condition and the FOC for (A.2). Then, x' problem is a global maximum point if max f() (1)Df(x') =0, and f is locally twice continuously differentiable,or