Use the standard error to construct anapproximateprediction interval forYusing an alpha of 5%.(Round your answer to 3 decimal places.)

Prediction interval for Y:yi

Body Fat, Age and Measurements of Men (n = 50, k = 8) Obs Fat% Age Weight Height Neck Chest Abdomen Hip Thigh 12.6 23 154.25 67.75 36.2 93. 1 85.2 94.5 59.0 6.9 173.25 72.25 38.5 93.6 83.0 98.7 58.7 24.6 154.00 66.25 34.0 95.8 87.9 99.2 59.6 10.9 26 184.75 72.25 37.4 101.8 36.4 101.2 60.1 27.8 24 184.25 71.25 34.4 97.3 100.0 101.9 63.2 20.6 24 210.25 74.75 39.0 104.5 94.4 107.8 66.0 19.0 26 181.00 69.75 36.4 105.1 90.7 100.3 58.4 00 - 12.8 25 176.00 72.50 37.8 99.6 88.5 97.1 60.0 5.1 25 191.00 74.00 38.1 100.9 82.5 99.9 62.9 12.0 23 198.25 73.50 42.1 99.6 88.6 104.1 63.1 11 7.5 26 186.25 74.50 38.5 101.5 83.6 98.2 59.7 12 8.5 27 216.00 76.00 39.4 103.6 90.9 107.7 66.2 13 20.5 32 180.50 69.50 38.4 102.0 91.6 103.9 63.4 14 20.8 30 205.25 71.25 39.4 104. 1 101.8 108.6 66.0 15 21.7 35 187.75 69.50 40.5 101.3 96.4 100. 1 69.0 16 20.5 35 162.75 66.00 36.4 99. 1 92.8 99.2 63.1 17 28.1 34 195.75 71.00 38.9 101.9 96.4 105.2 64.8 18 22.4 32 209.25 71.00 42.1 107.6 97.5 107.0 66.9 16.1 28 183.75 67.75 38.0 106.8 89.6 102.4 64.2 16.5 33 211.75 73.50 40.0 106.2 100.5 109.0 65.8 19.0 28 179.00 68.00 39. 1 103.3 95.9 104.9 63.5 15.3 28 200.50 69.75 41.3 111.4 98.8 104.8 63.4 23 15.7 31 140.25 68.25 33.9 86.0 76.4 94.6 57.4 24 17.6 32 148.75 70.00 35.5 86.7 80.0 93.4 54.9 25 14.2 28 151.25 67.75 34.5 90.2 76.3 95.8 58.4 26 4.6 27 159.25 71.50 35.7 89.6 79.7 96.5 55.0 27 8.5 34 131.50 67.50 36.2 88.6 74.6 85.3 51.7 28 22.4 31 148.00 67.50 38.8 97.4 88.7 94.7 57.5 29 4.7 27 133.25 64.75 36.4 93.5 73.9 88.5 50.1 30 9.4 29 160.75 69.00 36.7 97.4 83.5 98.7 58.9 31 12.3 32 182.00 73.75 38.7 100.5 88.7 99.8 57.5 32 6.5 29 160.25 71.25 37.3 93.5 84.5 100.6 58.5 33 13.4 27 168.00 71.25 38. 1 93.0 79.1 94.5 57.3 34 20.9 41 218.50 71.00 39.8 111.7 100.5 108.3 67.1 35 31.1 41 247.25 73.50 42.1 117.0 115.6 116. 1 71.2 36 38.2 49 191.75 65.00 38.4 118.5 113.1 113.8 61.9 37 23.6 40 202.25 70.00 38.5 106.5 100.9 106.2 63.5 38 27.5 50 196.75 68.25 42. 1 105.6 98.8 104.8 66.0 39 33.8 46 363. 15 72.25 51.2 136.2 148.1 147.7 87.3 40 31.3 50 203.00 67.00 40.2 114.8 108.1 102.5 61.3 41 33.1 45 262.75 68.75 43.2 128.3 126.2 125.6 72.5 42 31.7 44 205.00 29.50 36.6 106.0 104.3 115.5 70.6 43 30.4 48 217.00 70.00 37.3 113.3 111.2 114.1 67.7 44 30.8 41 212.00 71.50 41.5 106.6 104.3 106.0 65.0 45 8.4 39 125.25 68.00 31.5 85. 1 76.0 88.2 50.0 46 14.1 43 164.25 73.25 35.7 96.6 81.5 97.2 58.4 47 11.2 40 133.50 67.50 33.6 88.2 73.7 88.5 53.3 48 6.4 39 148.50 71.25 34.6 89. 8 79.5 92.7 52.7 49 13.4 45 135.75 68.50 32.8 92.3 83.4 90.4 52.0 50 5.0 47 127.50 66.75 34.0 83.4 70.4 87.2 50.6