FITTING A WEIBULL DISTRIBUTION
TO RESIDENCY OCCUPANCY DATA
F(x) x y lnx
0.05 0.28 -2.97019 -1.27297
0.10 0.56 -2.25037 -0.57982
0.25 1.40 -1.24590 0.33647
0.50 5.20 -0.36651 1.64866
0.75 17.10 0.32663 2.83908
0.90 32.00 0.83403 3.46574
0.95 41.40 1.09719 3.72328
0.99 64.20 1.52718 4.16200
LEAST SQUARES REGRESSION LINE:
y = - 1.78 + 0.782 lnx
(R-sq = 99.2%)
F(x) x W(.8,10) W(.8,11)
0.05 0.28 0.2441 0.2685
0.10 0.56 0.6003 0.6603
0.25 1.40 2.1069 2.3176
0.50 5.20 6.3246 6.9570
0.75 17.10 15.0425 16.5467
0.90 32.00 28.3641 31.2005
0.95 41.40 39.4120 43.3532
0.99 64.20 67.4617 74.2078
Correlations
x W(.8,10)
W(.8,10) 0.996
W(.8,11) 0.996 1.000
SOLID: EMPIRICAL PERCENTILES
DASHED: CDF FOR W(0.8, 10) DOTTED: CDF FOR W(0.8, 11)
WIEBULLS WITH SAME ALPHA:
ALPHA = 2 SOLID: BETA = 1
DASHED: BETA = 10 DOTTED: BETA = 20
ALPHA = 2, BETA = 1 ON DIFFERENT SCALE: