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# proj5 - Is the result consistent with his theory • Give...

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STA 6167 – Project 5 – Due 4/16/09 - Nonlinear Regression Part 1 – Performance of Naval Destroyers circa 1900 A Naval engineer recorded RPM readings and Horsepower for necessary for 25 ship runs. Further, he believes that when the hull is “foul”, more Horsepower will be needed to obtain a given RPM level. Based on theoretical reasons, he feels the relationship is of the form: HP = β 0 Foul + β 1 RPM β 2 + ε Where HP = Collective Horsepower (100s), Foul = 1 if the hull was Foul, 0 otherwise, and RPM is the total Revolutions per Minute (100s). The engineer believes β 2 is 3 based on theoretical reasons, and that β 0 is positive. Fit the Regression Model (Starting Values for all parameters can be 1) Test the hypothesis H 0 : β 2 = 3 versus H A : β 2 3. Do you reject his theory? Test the hypothesis H 0 : β 0 = 0 versus H A : β 0 >0.

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Unformatted text preview: Is the result consistent with his theory? • Give the predicted values for (Foul, 1), (Foul, 3), (Not Foul, 1), (Not Foul, 3). Part 2 – Bird Species in Solomon Islands A study looked at the relationship between: • S = # of Species living near sea-level on the individual islands of Solomon archipelago • A = Area in miles 2 • D = Distance from center of archipelago in miles (many have 0 for value) The authors fit the model: Fit the regression model. As a starting set of values, set β =35, β 1 =5, all other β s = 1.This is based on fitting a simple linear regression between S and log(A) for the islands with D=0, to get starting values for β and β 1 . (Why?). Give the fitted values for the following combination of values of A and D : A\D 25 75 225 0.5 2 10 1000...
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proj5 - Is the result consistent with his theory • Give...

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