practicum3

# practicum3 - ISYE 2028 A and B Spring 2009 Practicum 3 Dr...

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Unformatted text preview: ISYE 2028 A and B Spring 2009 Practicum 3 Dr. Kobi Abayomi March 23, 2009 Please be able to show all of own your work and reasoning. Include computer printouts where you can. You won’t need Good Luck. Due Monday April 14th - In class 1 1 Regression 1.1 Residuals The following is data on shoe size and IQ ID IQ ShoeSize e i 1 95 6.04 2 87-4.02 3 114-5.96 4 116-3.96 5 87 2.17 6 134 9.91 7 121 1.04 8 95-4.23 9 100-0.94 Treat shoe size as the independent variable and IQ as the dependent variable. Two points on the fitted regression line are (0 , 20 . 7) and (1 , 28 . 9) Generate the observed values for the dependent variable. Compute the correlation between IQ and shoe size r = ˆ ρ . Compute the coefficient of determination R 2 . Compute the standard error of the estimate s e . 1.2 T/F and Short Answer Answer these True or False 1. SSE = 0 implies a vertical regression line. 2. An estimated regression line is y = 5 + 5 x . A researcher adds the observation (25 , 80). The observation is likely to be influential. 3. The coefficient of determination is decreases when the Total Sum of Squares increases. Express the slope between x and y in a linear regression model if s x = 5 s y , in terms of the correlation. 2 2 Voting for Pedro Pedro is running for president of Preston High School. His opponent Summer wins 100 votes out of 225 votes. To win the election, Pedro must demonstrate that he has more than sixty percent of the students supporting him. It turns out that there are 41 additional votes, though spoiled, which could be counted at significant additional cost. In the hypothesis test of whether Pedro has more than 60 percent support in the student body H : p = . 6 vs. H a : p > . 6 If we set α = . 05, what is the probability that we will -incorrectly- elect Summer if Pedro’s true support level in the student body is, say, 65 percent. 3 3 Farmer Njoroge’s Market Njoroge the farmer has a lbs of apples and b lbs of potatoes for sale. The market price, in Kisumu Kenya, for apples each day is a random variable with a mean of μ x dollars and a standard deviation of σ x dollars. Similarly, for a pound of potatoes, the mean price is μ y dollars and the standard deviation is σ y dollars. Assume that the market prices for potatoesdollars....
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practicum3 - ISYE 2028 A and B Spring 2009 Practicum 3 Dr...

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