[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 | |