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Chapter 12 Assessment Is there a relationship between a vehicle's fuel efficiency and its selling price? A random sample of the blood of 10 vehicles yielded the following results. Please use these data to answer all questions on the assessment, and assume the data are drawn from populations who ns whose underlying distribution is Normal. LI=X Fuel efficiency L 2 = y (miles per gallon) Selling price (US dollars) 28 46325 31 18200 2 31 13300 3 31 33080 4 31 33080 5 31 30115 32 18199 1 33 18100 2 33 23195 33 22995 Please note: For these data, x = 31.4, sy = 1.51, y = 25658.9, Sy ~ 9952.23 , Y=7032183439 1. (5 points) Find the equation of the least-squares line: ) = a + bx. Round your results to two decimal places. y - 17 1625. 19 - 46 48. 61 X b - . 7032 28 3 434 ( 9 9 527 23) 1. 5r 9 = y - 6x = 25458.9 - 1 4634. 89486 - 31, 4) 6 =4634. 894186 a z 25658.9 = 145 535. 698 8 d . = 2. (5 points) Compute the coefficient of determination, r2. What percentage of the variation in y can be explained by the corresponding variation in x (be sure to write this statement about fuel efficiency and selling price). What percentage is due to other factors? What does this tell you about how well our model fits the given data? 72