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HW01_sol

# HW01_sol - Homework 1 Solutions Problem 2-11 Part A Cost...

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Homework 1 Solutions Page 1 of 5 Problem 2-11 Part A Cost versus Age 0 200 400 600 800 1,000 1,200 02468 1 0 1 2 1 4 Age, Years Cost, \$ Part B There is a positive relation between the two variables. Part C Correlation coefficient calculation: XYX 2 Y 2 XY 8 859 64 737,881 6,872 5 682 25 465,124 3,410 3 471 9 221,841 1,413 9 708 81 501,264 6,372 11 1,094 121 1,196,836 12,034 2 224 4 50,176 448 1 320 1 102,400 320 8 651 64 423,801 5,208 12 1,049 144 1,100,401 12,588 Totals 59 6,058 513 4,799,724 48,665 n = 9 Correlation coefficient: 0.938

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Homework 1 Solutions Page 2 of 5 Problem 2-12 Part A Books Sold versus Shelf Space 100 150 200 250 300 350 3.0 4.0 5.0 6.0 7.0 8.0 Shelf Space, ft Books Sold Part B There is a positive relation between the two variables. Part C Correlation coefficient calculation: XY X 2Y 2 XY 6.8 275 46.2 75,625 1,870 3.3 142 10.9 20,164 469 4.1 168 16.8 28,224 689 4.2 197 17.6 38,809 827 4.8 215 23.0 46,225 1,032 3.9 188 15.2 35,344 733 4.9 241 24.0 58,081 1,181 7.7 295 59.3 87,025 2,272 3.1 125 9.6 15,625 388 5.9 266 34.8 70,756 1,569 5.0 200 25.0 40,000 1,000 Total 53.7 2,312 282.6 515,878 12,029 Average 4.9 210 n = 11 Correlation coefficient: 0.950 The least squares line has the following coefficients: a = 32.46 and b = 36.41 Books Sold = 32.46 + 36.41 * Shelf Space For Shelf Space = 5.2 feet the forecast for Books Sold = 32.46 + 36.41 * 5.2 = 222
Homework 1 Solutions Page 3 of 5 Problem 2-14 Part A

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• Summer '10