In: Statistics and Probability
sleep = beta_0 + beta_1 age + beta_2 educ + beta_3 totwork + beta_4 yrsmarr + beta_5 hrwage + u
From your baseline model results: what is the predicted average number of hours slept per night for a person that is 28 years old, has 10 years of education, works 2,800 minutes per weeks, has been married for 2 years, and has an hourly wage of $9.50? Find the 95% confidence interval for this prediction.
| sleep | age | educ | totwork | yrsmarr | hrwage | 
| 7.41190476 | 32 | 12 | 3438 | 13 | 7.070004 | 
| 6.95238095 | 31 | 14 | 5020 | 0 | 1.429999 | 
| 6.35714286 | 44 | 17 | 2815 | 0 | 20.53 | 
| 7.34047619 | 30 | 12 | 3786 | 12 | 9.619998 | 
| 8.20952381 | 64 | 14 | 2580 | 33 | 2.75 | 
| 9.67380952 | 41 | 12 | 1205 | 23 | 19.25 | 
| 7.57142857 | 35 | 12 | 2113 | 0 | 1.44 | 
| 6.97142857 | 47 | 13 | 3608 | 24 | 15.01001 | 
| 8.01904762 | 32 | 17 | 2353 | 11 | 4.329998 | 
| 7.18571429 | 30 | 15 | 2851 | 7 | 2.959999 | 
| 3.75 | 43 | 8 | 6415 | 23 | 2.400001 | 
| 7.8452381 | 23 | 16 | 370 | 4 | 1.23 | 
| 9.04285714 | 24 | 16 | 2438 | 4 | 1.23 | 
| 7.16190476 | 48 | 5 | 2693 | 0 | 5.610002 | 
| 7.73333333 | 33 | 12 | 2526 | 9 | 3.13 | 
| 8.76904762 | 23 | 12 | 2950 | 4 | 2.309999 | 
| 7.62142857 | 46 | 17 | 3003 | 21 | 9.900003 | 
| 6.14285714 | 37 | 14 | 4011 | 17 | 3.96 | 
| 8.14285714 | 53 | 12 | 2300 | 26 | 3.299999 | 
| 7.35714286 | 45 | 17 | 1543 | 22 | 14.85 | 
| 6.57142857 | 46 | 17 | 3473 | 0 | 35.50999 | 
| 6.85714286 | 40 | 13 | 3276 | 0 | 5.329999 | 
| 8.26190476 | 53 | 12 | 2506 | 31 | 3.27 | 
| 6.36428571 | 29 | 13 | 2651 | 0 | 5.060002 | 
| 6.71428571 | 29 | 12 | 4580 | 4 | 2.490001 | 
| 6.84047619 | 53 | 12 | 3588 | 0 | 5.319999 | 
| 4.53571429 | 28 | 13 | 3418 | 4 | 2.69 | 
| 6.96666667 | 35 | 12 | 2250 | 0 | 2.69 | 
| 6.19761905 | 36 | 12 | 2638 | 6 | 2.959999 | 
| 7.70952381 | 59 | 12 | 3173 | 0 | 3.460001 | 
| 9.25714286 | 26 | 12 | 3446 | 2 | 3.460001 | 
| 6.46666667 | 24 | 16 | 3588 | 1 | 4.23 | 
| 7.72619048 | 28 | 16 | 2961 | 0 | 4.809999 | 
| 7.51904762 | 39 | 16 | 2778 | 0 | 24.62999 | 
| 7.39285714 | 33 | 17 | 3080 | 5 | 19.25 | 
| 8.36904762 | 28 | 17 | 3556 | 0 | 3.849999 | 
| 7.92857143 | 33 | 12 | 2788 | 11 | 7.699997 | 
| 9.88809524 | 47 | 12 | 1100 | 22 | 5.389998 | 
| 7.03571429 | 31 | 16 | 3116 | 7 | 4.620001 | 
| 5.23809524 | 26 | 12 | 2506 | 0 | 3.849999 | 
| 6.86904762 | 31 | 15 | 2763 | 13 | 5.389998 | 
| 7.96428571 | 38 | 16 | 3048 | 15 | 7.699997 | 
| 6.58333333 | 44 | 17 | 2511 | 0 | 2.159999 | 
| 9.35238095 | 49 | 12 | 3268 | 30 | 6.080001 | 
| 6.7452381 | 56 | 11 | 3242 | 35 | 5.77 | 
| 8.92857143 | 41 | 12 | 2550 | 19 | 5.77 | 
| 7.92380952 | 36 | 12 | 3188 | 15 | 5.77 | 
| 9.03571429 | 36 | 9 | 1555 | 18 | 7.42 | 
| 8.00714286 | 37 | 12 | 2743 | 17 | 4.329998 | 
| 5.42857143 | 23 | 9 | 5043 | 0 | 4.54 | 
| 9.88333333 | 29 | 10 | 3570 | 5 | 3.299999 | 
| 7.77619048 | 29 | 17 | 2883 | 0 | 4.739999 | 
| 8.5 | 26 | 16 | 2398 | 2 | 3.39 | 
| 6.86904762 | 29 | 16 | 2663 | 10 | 7.349998 | 
| 6.8547619 | 25 | 17 | 2363 | 0 | 3.150002 | 
| 6.64285714 | 24 | 14 | 1800 | 0 | 1.05 |