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Weight and height. The weights and heights of twenty male 'Students in a freshman class are recorded in order to see how well weight (Y, in pounds) can be predicted from height (X, in inches). The data are given below. Assume that first-order regression (I. 1) is appropriate.
a. Fit a simple linear regression model using ordinary least square and plot the data together
with the hued regression function. Also, obtain an Index plot of Cook s distance (10.33 What do these plots suggest'?
b. Obtain the scaled residuals in (11.47) and use the Huber weight function (11.44) to ohm' case weights for a first iteration of IRLS robust regression. Which cases receive the smallest Huber weights? Why'!
c. Using the weights calculated in part (b), obtain the weighted least squares estimates of the regression coefficients. How do these estimates compare to those found in part (a) using ordinary least squires'?
d. Continue the IRLS procedure for two more iterations. Which cases receive the smallest weights in the final iteration'? How do the linal IRLS robust regression estimates compare to the ordinary least squares estimates obtained in part (a)?
a bank with branches in a large metropolitan area is considering opening its offices on saturday but it is uncertain
The aim of the project is to allow you to test a theory or hypothesis, perhaps learnt from one of your theory-based modules (e.g. Global Risk Analysis, Emerging Financial Markets and Investment, Global Financial Markets), using the methods we have..
What is the probability that at least one inspector will find a defective widget?
Suppose a population proportion is .40, and 80% of the time when you draw a random sample from this population you get the sample proportion of .35 or more.
in an experiment conducted by the mining engineering department at virginia tech to study a particular filtering
Consider the k-out-of-n system (info on the system: A system consists of n independent components. Each component functions with probability p. The system as a whole functions if at least k components are functioning (1
Find out the probability that a student from the whole school system, chosen at random, has passed?
You are investigating the flight characteristics of different kinds of birds. You collect a sample of 33 European swallows (Hirundo rustica) and measure their air-speed velocity in a borrowed wind tunnel.
a consulting firm submitted a bid for a large research project. the firms management initially felt they had a 50-50
What is the probability that a simple random sample of 40 male graduates will provide a sample mean within $10,000 of the population mean, $168,000 (to 4 decimals)?
a. Formulate a linear programming model for this problem. b. Solve the model by using the computer.
Which test do we use to see if the difference in our sample is statistically significant? Why? Should it be one or two-tailed?
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