Test 3 Fall 2010

# Test 3 Fall 2010 - QUESTIONS 1-3:The Environmental...

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QUESTIONS 1-3 : The Environmental Protection Agency (EPA) would like to predict carbon footprint (tons of CO 2 per year) on the basis of fuel efficiency (highway mpg). A random sample of 80 cars was taken, resulting in the following scatterplot and summary statistics. footprint carbon y = 8.35 tons/year y s = 0.913 tons/year mpg x = 27.47 x s = 2.941 r = −0.940 1. Is a linear regression model appropriate for this study? A. No, the quantitative condition is not satisfied B. No, the linearity condition is not satisfied C. No, there is an outlier present D. No, more than one condition is not satisfied E. Yes, the conditions are satisfied 2. Find the equation of the best fitting line. A. carbon footprint = 29.91 − 0.292 * highway mpg B. carbon footprint = 16.37 − 0.292 * highway mpg C. carbon footprint = 91.53 − 3.028 * highway mpg D. carbon footprint = 52.75 − 3.028 * highway mpg E. carbon footprint = 2.19 − 3.028 * highway mpg 3. Which statement below is true: A. 94% of the variation in carbon footprint can be accounted for on the basis of highway mpg B. 94% of the variation in highway mpg can be accounted for on the basis of pounds carbon footprint C. 88% of the variation in carbon footprint can be accounted for on the basis of highway mpg D. 88% of the variation in highway mpg can be accounted for on the basis of carbon footprint E. None of the above ______________________________________________________________________________________ 1

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4. The table below shows the correlation coefficients between the price of Gold, the S&P 500, and the value of the US Dollar (USD). Scatterplots for all pairs of variables show linear relationships. Which statement below is FALSE: USD USD 0.84 Gold 0.12 −0.74 D. If Gold increases, USD would usually decrease E. The weakest correlation is between USD and Gold ______________________________________________________________________________________ QUESTIONS 5-7 : A study was done to predict average personal income based on the GDP per capita of various countries. Based on a random sample of 15 countries, the following equation was obtained: average personal income = −18.25 + 1.35 * GDP per capita. The units of both GDP and personal income are thousands of \$; the correlation is 0.85. 5. Finland has a GDP per capita of 48.8, and an average personal income of 64.2. What can be said about the residual for Finland? A. residual = −16.57, the model overestimated average personal income for Finland B. residual = 16.57, the model underestimated average personal income for Finland C. residual = 19.62, the model underestimated average personal income for Finland D. residual = −19.62, the model overestimated average personal income for Finland E. More information is needed to answer this question
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## This note was uploaded on 01/10/2012 for the course MIST 3000 taught by Professor Kim during the Fall '11 term at University of Georgia Athens.

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Test 3 Fall 2010 - QUESTIONS 1-3:The Environmental...

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