Using the standard error to construct an approximate prediction interval for Y using an alpha of 5%. (Round answer your 3 decimal places.)Prediction interval for Y: y^i +_. _________Based on the width of this prediction interval, would you say the predictions are good enough to have practical value? Yes or No

#7 Body Fat, Age, and Measurements of Men (n = 50, k = 8) 126 67 75 72.25 93.1 85 2 83.0 68.25 34.0 83.6 95.8 87 9 99 2 101 101 2 601 27 34.4 100 0 101 9 63 2 20.6 104.5 94 4 68 0 190 105 1 100 3 58 4 12 8 176.00 72 50 97.1 80.0 191.00 74.00 89.6 100.S 62.9 73.50 63.1 74 50 99.6 101.5 83 6 216.00 76.00 103 6 107 7 68.2 Source: Roger W Johnson (1998). "Fitting 180.50 102 0 016 63.4 Percentage of Body Fat to Simple Body 205.25 71.25 104.1 101 66.0 Measurements." Journal of Statistics 187.75 40.5 101.3 96.4 100 69.0 Education, Vol. 4, No. 1. 162.75 69.50 195.75 101.9 105 2 107 6 56.9 Variable Names Farts = percent body fat. 183.75 67.75 38.0 106.8 89 6 102 64.2 Age = age (yrs), Weight = weight (ibs). 211.75 73.50 40.0 106.2 100. 65.8 Height = height (in ), Neck . neck 179.00 68.00 39.1 103.3 95.9 104. 63.5 circumference (cm), Chest a chest circumference (cm). Abdomen = abdomen 200.50 140.25 69.75 41.3 111.4 98.8 1048 63.4 circumference (cm), Hip = hip 33.9 94.6 circumference (cm), Thigh = thigh 148.75 68.25 80.0 151.25 70.00 35.5 93.4 90.2 76.3 95 8 159.25 35.7 89.6 79.7 96.5 55.0 131.50 88.6 74.6 85.3 51.7 2.4 148.00 67.50 38.8 97.4 94.7 57.5 133.25 64.75 36.4 93.5 73.9 88.5 50.1 160.75 36.7 97.4 83.5 98.7 58.9 2.3 182.00 38.7 100.5 88.7 99.8 57.5 160.25 37.3 93.5 100.6 58.5 168.00 71.25 38.1 93.0 79.1 94.5 57.3 218.50 71.00 39.8 100.5 247.25 73.50 42.1 17.0 115.6 116.1 71.2 191.75 65.00 38.4 113.8 61.9 202.25 38.5 100.9 106 2 63.5 196.75 68.25 105.6 66.0 363.15 72.25 51.2 136.2 148.1 147.7 87.3 203.00 67.00 40.2 114.8 108.1 102.5 61.3 45 262.75 68.75 43.2 128.3 125.6 72.5 1.7 205.00 29.50 36.6 106.0 104.3 115.5 70.6 30. 217.00 70.00 37.3 113.3 114.1 67.7 212.00 71.50 41.5 106.6 104.3 106.0 65.0 39 125.25 68.00 31.5 85.1 76.0 88.2 50 0 14. 164.25 73.25 35.7 96.6 81.5 97.2 58.4 1.2 133.50 67.50 33.6 88.2 73.7 88 5 53.3 6.4 39 148.50 34.6 89.8 79.5 92.7 52.7 135.75 68.50 32.8 92.3 83.4 90.4 52.0 5.0 127.50 66.75 34 0 83.4 70.4 87.2 50.6