Spending per high-school student and graduation rates for 50 states Table 8.6 p380 in Hollander and Wolfe 1999 Data: 1. 7971 65.5 26. 3998 79.6 2. 7151 62.3 27. 3943 85.4 3. 6564 77.4 28. 3919 69.1 4. 6230 84.9 29. 3858 77.3 5. 5471 74.4 30. 3840 65.9 6. 5329 69.8 31. 3794 76.3 7. 5207 78.7 32. 3786 74.0 8. 5201 74.1 33. 3744 61.1 9. 5051 88.3 34. 3691 71.9 10. 5017 71.7 35. 3623 75.8 11. 4989 78.4 36. 3608 65.3 12. 4789 73.0 37. 3519 88.3 13. 4747 84.9 38. 3434 61.0 14. 4692 73.6 39. 3408 64.6 15. 4462 74.7 40. 3368 66.7 16. 4457 74.1 41. 3249 79.6 17. 4386 90.9 42. 3138 61.4 18. 4369 75.6 43. 3093 71.7 19. 4246 74.4 44. 3068 69.3 20. 4246 87.3 45. 3011 69.0 21. 4164 77.1 46. 2989 77.2 22. 4149 71.6 47. 2718 74.9 23. 4124 85.8 48. 2667 75.4 24. 4092 58.0 49. 2548 66.9 25. 4076 80.2 50. 2454 79.4 Data sorted in increasing order by X n=50 X-Y pairs Xmin=2454 Xmax=7971 Ymin=58.0 Ymax=90.9 Xmean=4193.0 Ymean=74.28 Linear smoother with Window size in X-values: 9 Half-width: 4 Average window width: 721.0 Half-width: 360.5 Kernel smoother for Gaussian kernel with stddev=h=721.021: (Twice the average half-width.) Data is blue Linear smoother is green (based on 9-point window) Kernel smoother is red (based on h=721.021)