quiz6 - NE115/CHE220 Quiz 6 April 7 2008 Data on salary and...

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NE115/CHE220 - Quiz 6 April 7, 2008 Data on salary and years of experience for a sample of engineers were examined, producing the following output, where salary was regressed on years (of experience). Regression Equation: Salary = 11341 + 2152*Experience S = 7292, R 2 = 82 1) Which of the following statements are true? I) 82% of the variation in salaries has been accounted for by the linear relationship. II) On average, salaries go up by $10,800 for every additional 5 years of experience (nearest $100). III) The salary of someone with 10 years of experience is estimated to be $32,900 (nearest $100) IV) The biggest residual belongs to an individual with 28 years experience. A) All are true B) All but I C) All but II D) All but III E) All but IV
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2) In assessing the adequacy of a fitted model like the one in the salary study above, the following possible problems are typically checked for. Which of the following conditions appears to be the biggest problem with our fit above? I) An inspection of the scatterplot shows that a least squares line will not well represent the general relationship, due to the influence of a small number of points or the existence of distinct clusters. II) The residuals have a clearly non-normal distribution. III) A non-linear (curved) type of model would be more appropriate for these data than a straight line model. IV) The variation in the response is changing.
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