Welcome to College Confidential. You seem like a wonderful applicant, as are most students who will ultimately be rejected. As Yale receives more qualified applications than they have seats in their freshman class, Admissions uses a student’s teacher recommendations, guidance counselor’s Secondary School Report (SSR), essays and interview report to choose one high performing student over another. They look for wonderful scholars of “good character” – that’s an old fashioned word meaning the way you develop your inner qualities, intellectual passion, maturity, social conscience, concern for community, tolerance, inclusiveness and love of learning. As none of those qualities can be gleaned from a post like yours, the best that can be said is that your stats place within Yale’s range, so your stats will not disqualify you from being admitted.
As a new member to College Confidential you may have missed this famous post on the MIT forum. Everything in it applies to YHS et al: http://talk.collegeconfidential.com/massachusetts-institute-technology/939227-reminder-no-one-not-even-me-can-give-you-an-accurate-chance-at-mit-p1.html
Best of luck to you!