[Page 787 ( continued )] | 1. | (a) Apr = 8.67, May = 8.33, Jun = 8.33, Jul = 9.00, Aug = 9.67, Sep = 11.00, Oct = 11.00, Nov = 11.00, Dec = 12.00, Jan = 13.33; (b) Jun = 8.20, Jul = 8.80, Aug = 9.40, Sep = 9.60, Oct = 10.40, Nov = 11.00, Dec = 11.40, Jan = 12.60; (c) MAD (3) = 1.89, MAD (5) = 2.43 | | 3. | (a) F 4 = 116.00, F 5 = 121.33, F 6 = 118.00, F 7 = 143.67, F 8 = 138.33, F 9 = 141.67, F 10 = 135.00, F 11 = 156.67, F 12 = 143.33, F 13 = 136.67; (b) F 6 = 121.80, F 7 = 134.80, F 8 = 125.80, F 9 = 137.20, F 10 = 143.00, F 11 = 149.00, F 12 = 137.00, F 13 = 142.00; (c) F 4 = 113.85, F 5 = 116.69, F 6 = 125.74, F 7 = 151.77, F 8 = 132.4, F 9 = 138.55, F 10 = 142.35, F 11 = 160.0, F 12 = 136.69, F 13 = 130.20; (d) 3 - qtr MA : E = 32.0, 5 - qtr MA : E = 36.4, weighted MA : E = 28.09 | | 5. | (a) F 4 = 400.000, F 5 = 406.67, F 6 = 423.33, F 7 = 498.33, F 8 = 521.67, F 9 = 571.67; (b) F 2 = 400.00, F 3 = 410.00, F 4 = 398.00, F 5 = 402.40, F 6 = 421.92, F 7 = 452.53, F 8 = 460.00, F 9 = 498.02; (c) 3-sem. MAD = 80.33, exp. smooth. MAD = 87.16 | | 7. | F 11 (exp. smooth) = 68.6, F 11 (adjusted) = 69.17, F 11 (linear trend) = 70.22; exp. smooth: E = 14.75, MAD = 1.89; adjusted: E = 10.73, MAD = 1.72; linear trend: MAD = 1.09 | | 9. | (a) F 21 = 74.67, MAD = 3.12; (b) F 21 = 75.875, MAD = 2.98; (c) F 21 = 74.60, MAD = 2.87; (d) 3-mo. moving average and exponentially smoothed | | 11. | F 13 = 631.22,  = 26.30, E = 289.33, biased low | | 13. | F 1 = 155.6, F 2 = 192.9, F 3 = 118.2, F 4 = 155.6 | | 15. | F 04 (adjusted) = 3,313.19, F 04 (linear trend) = 2,785.00; adjusted: MAD = 431.71; linear trend: MAD = 166.25 | | 17. | fall = 44.61, winter = 40.08, spring = 52.29, summer = 70.34; yes | | 19. | E = 86.00, = 8.60, MAD = 15.00, MAPD = 0.08 | | 21. | MAD : MA = 1.89, exp. smooth = 2.16; 3-mo. moving average | | 23. | y = 0.67 + .223 x , 88.58% | | 25. | (a) y = 113.4 + 2.986 x , 140.43 gal.; (b) .929 | | 27. | (a) y = 6,541.66 - .448 x ; y ($9,000) = 2,503.2, y ($7,000) = 3,400.6; (b) - .754 | | 29. | b = 2.98, the number of gallons sold per each degree increase | | 31. | y = 13.476 - 0.4741 x , r = -0.76, r 2 = 0.58; yes, relationship; y = 2.57% defects | | 33. | linear trend line, 3-mo. MA and adj. exp. smooth all are relatively accurate | | 35. | exponential smoothing appears to be less accurate than linear trend line | | 37. | F 6 (adj.) = 74.19 seat occupancy , = 1.08, MAD = 8.6 | | 39. | student choice of model | | 41. | (a) y = 119.27 + 12.28 x , y (lb.) = 315.67; (b) y = 2504.18 + .147 x , r 2 = .966. | | 43. | (a) y = 13,803.07 + 470.55 x , 65.15%; (b) y = 83 - 1.68 x ; 64.5% | | 45. | (a) y = 745.91 2.226 x 1 + .163 x 2 ; (b) r 2 = .992; (c) y = 7,186.91 | | 47. | (a) y = 117.128 + .072 x 1 + 19.148 x 2 ; (b) r 2 = .822; (c) y = $940.60 | |
