Цветные шары Lottery

Цветные шары Autocorrelation Analysis

Цветные шары: do draws have "memory"? Are results correlated between draws?

Autocorrelation shows whether the results of draw N are related to draw N-1, N-2, and beyond. If significant autocorrelation is detected, it's a valuable signal for forecasting. If not, it confirms the randomness of the "Цветные шары" lottery.

Analysis based on 20 draws from 05/27/2026, 05:24 PM to 05/28/2026, 12:24 PM

Max lag:

Draw sums autocorrelation

Correlogram with 95% confidence intervals

Observations

Significant lags

±0.4383

95% confidence interval

No autocorrelation detected

All ACF values are within the 95% confidence interval. The sequence is statistically random.

ACF(1) for All Numbers

Autocorrelation at lag 1 — quick overview of each number's "memory"

Ball	ACF(1)	Status
1	-0.2625	Normal
2	-0.2000	Normal
3	0.2643	Normal
4	-0.2833	Normal
5	-0.0489	Normal
6	-0.0167	Normal
7	0.0976	Normal
8	-0.3500	Normal
9	-0.1853	Normal
10	-0.2000	Normal
11	0.3357	Normal
12	-0.1265	Normal
13	0.0940	Normal
14	0.1833	Normal
15	-0.0167	Normal
16	0.0500	Normal
17	0.1709	Normal
18	-0.1167	Normal
19	-0.3786	Normal
20	-0.2119	Normal
21	-0.1405	Normal
22	-0.2000	Normal
23	-0.1167	Normal
24	0.0262	Normal
25	-0.4083	Normal
26	-0.2833	Normal
27	-0.1621	Normal
28	-0.1853	Normal
29	0.1833	Normal
30	-0.0833	Normal
31	-0.2000	Normal
32	0.0500	Normal
33	0.2643	Normal
34	0.2643	Normal
35	-0.1918	Normal
36	-0.1167	Normal
37	0.0262	Normal
38	0.0500	Normal
39	0.0280	Normal
40	-0.1167	Normal
41	0.1333	Normal
42	-0.4083	Normal
43	-0.2000	Normal
44	0.2500	Normal
45	-0.2119	Normal
46	0.0940	Normal
47	0.4250	Normal
48	0.1125	Normal

About Autocorrelation

Mathematical foundations

The autocorrelation function (ACF) measures the linear dependence between values of a time series separated by k steps (lag). In the context of a lottery: is the result of draw N related to the result of draw N-k?

ACF Formula

ACF(k) = Σ(xₜ - x̄)(xₜ₊ₖ - x̄) / [n · Var(x)]

ACF values range from -1 to +1. If |ACF| exceeds the confidence interval ±1.96/√n, the correlation is statistically significant.