Brazil: Timemania

Timemania Autocorrelation Analysis

Timemania: 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 "Timemania" lottery.

Analysis based on 20 draws from to
Max lag:

Draw sums autocorrelation

Correlogram with 95% confidence intervals
20
Observations
0
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"
BallACF(1)Status
1-0.0026Normal
2-0.0553Normal
3-0.1167Normal
4-0.0833Normal
50.2069Normal
6-0.0553Normal
70.0000Normal
8-0.1167Normal
9-0.0553Normal
10-0.1853Normal
110.0000Normal
12-0.0553Normal
13-0.0553Normal
14-0.0833Normal
15-0.1167Normal
16-0.1167Normal
170.0500Normal
180.0000Normal
190.0000Normal
200.4389Significant
210.4250Normal
22-0.1853Normal
23-0.1853Normal
240.0000Normal
25-0.0553Normal
260.0500Normal
270.1125Normal
28-0.0553Normal
29-0.1167Normal
30-0.0611Normal
31-0.0553Normal
32-0.1167Normal
330.0000Normal
34-0.0553Normal
35-0.1265Normal
360.1833Normal
37-0.0611Normal
380.0000Normal
39-0.0553Normal
40-0.0026Normal
410.0000Normal
42-0.0553Normal
43-0.0553Normal
44-0.0553Normal
450.0000Normal
46-0.1853Normal
47-0.0833Normal
48-0.0553Normal
490.0000Normal
50-0.0553Normal
510.0000Normal
520.4250Normal
530.0000Normal
54-0.2000Normal
550.0000Normal
560.2069Normal
570.0000Normal
58-0.1265Normal
59-0.1167Normal
60-0.1167Normal
61-0.0026Normal
62-0.0026Normal
63-0.0553Normal
64-0.1853Normal
650.2069Normal
66-0.0553Normal
67-0.0611Normal
680.2657Normal
690.0000Normal
70-0.1167Normal
71-0.1167Normal
720.0000Normal
730.4389Significant
74-0.0553Normal
75-0.1167Normal
76-0.0553Normal
770.0000Normal
78-0.1853Normal
790.0500Normal
80-0.0553Normal

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.

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