Fuel Economy of Selected Vehicles (n=73, k =4)

CityMPG Length Width Weight ManTran

20 109.3 74.0 3968 0

22 108.3 73.0 3583 1

22 182.6 71.9 3470 0

23 176.5 70.8 3527 0

18 196.9 73.1 3990 0

17 201.9 79.0 4724 0

21 190.2 73.1 3692 0

22 182.8 71.1 3315 0

20 195.5 72.2 3616 0

14 202.5 79.0 5527 0

16 190.6 75.5 3719 1

26 181.0 70.7 3097 0

19 201.3 73.0 3800 0

25 191.5 73.0 3532 0

31 144.7 61.0 2269 1

15 224.0 80.5 5674 0

20 191.7 72.5 3402 0

19 198.6 75.0 4029 0

19 199.9 75.0 3996 0

23 183.9 72.0 3242 0

31 139.6 64.1 2434 1

29 159.7 67.8 2575 0

27 178.5 71.8 2960 1

15 188.5 73.9 3618 1

19 202.9 76.2 4054 0

24 191.4 72.8 3192 1

23 178.3 71.6 3305 0

19 193.3 73.2 3605 0

15 196.5 74.4 4240 0

18 193.1 74.2 3933 0

19 183.1 71.8 3633 0

17 182.3 71.0 3790 0

20 176.0 75.7 3477 0

21 175.1 71.4 3258 0

17 189.8 76.5 4685 0

25 179.5 70.1 2776 0

24 163.0 70.9 2615 1

21 174.8 73.0 3186 0

13 196.8 81.6 5137 0

21 183.7 71.3 3461 0

16 200.0 73.8 4233 0

18 187.8 74.2 4178 0

17 207.6 76.0 4702 0

22 194.1 73.4 3713 0

14 208.4 78.8 5794 0

28 155.5 66.7 2306 1

26 179.3 72.4 3194 0

22 180.8 69.7 3428 0

12 200.6 84.2 4894 0

17 189.1 84.3 4751 0

29 146.6 66.3 2605 1

25 183.3 70.9 3296 0

13 207.7 79.3 5267 0

25 156.7 66.7 2789 1

19 190.6 73.2 3570 0

18 189.9 74.1 4011 0

27 175.4 66.7 2363 1

15 190.8 76.3 4398 1

25 166.7 69.9 2806 0

36 120.1 66.1 2127 0

27 154.7 67.9 2665 0

24 180.9 70.7 3419 0

24 187.2 71.7 3427 0

25 189.2 71.7 3280 0

13 194.9 77.6 5765 0

24 179.9 72.6 3465 0

30 153.5 66.7 2295 1

22 168.4 71.2 3038 0

25 182.2 70.0 3070 0

17 188.8 76.4 4711 0

24 191.6 72.2 3230 0

21 182.2 73.4 3528 0

16 189.3 76.2 4667 0

Use the standard error to construct a prediction interval for Y using an alpha of 5%. (Round to 2 decimal places)

Prediction interval for Y: y^i +- ?????

Please show how to get the proper answer for Y Hat Plus/minus for the prediction interval.