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IrishStat
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I took your 29 days (oldest to newest) and found that there were 3 unusual days thus the following equation enter image description here with Actual/Fit and Forecast here enter image description here

All models are wrong ... but some are useful .... . It is fundamentally an autoregressive process of order 1 after one has adjusted for the three "unusual data points " see enter image description here for a clear support for the anomaly identification.

Plot of the residuals enter image description herefrom the above model suggesting reduced variability is clearly obvious . It is reasonable to suggest that there has been a break-point in the model error variance suggesting GLS or a weighted model . This was not not investigated here due to sample size ! ).

Here is the plot of the original data enter image description here

While the variability of the series is higher at higher values suggesting to some that there is a need for logarithms When (and why) should you take the log of a distribution (of numbers)? ..it is truer yet that the error variance distribution is better characterized as having a deterministic change point at or about day 11.

enter image description here

I took your 29 days (oldest to newest) and found that there were 3 unusual days thus the following equation enter image description here with Actual/Fit and Forecast here enter image description here

All models are wrong ... but some are useful .... . It is fundamentally an autoregressive process of order 1 after one has adjusted for the three "unusual data points " see enter image description here for a clear support for the anomaly identification.

Plot of the residuals enter image description herefrom the above model suggesting reduced variability is clearly obvious . It is reasonable to suggest that there has been a break-point in the model error variance suggesting GLS or a weighted model . This was not not investigated here due to sample size ! ).

Here is the plot of the original data enter image description here

enter image description here

I took your 29 days (oldest to newest) and found that there were 3 unusual days thus the following equation enter image description here with Actual/Fit and Forecast here enter image description here

All models are wrong ... but some are useful .... . It is fundamentally an autoregressive process of order 1 after one has adjusted for the three "unusual data points " see enter image description here for a clear support for the anomaly identification.

Plot of the residuals enter image description herefrom the above model suggesting reduced variability is clearly obvious . It is reasonable to suggest that there has been a break-point in the model error variance suggesting GLS or a weighted model . This was not not investigated here due to sample size ! ).

Here is the plot of the original data enter image description here

While the variability of the series is higher at higher values suggesting to some that there is a need for logarithms When (and why) should you take the log of a distribution (of numbers)? ..it is truer yet that the error variance distribution is better characterized as having a deterministic change point at or about day 11.

enter image description here

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IrishStat
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oops you presented the data in a backwards fashion .... quite unorthodox

I will have to scrap this and resort from oldest to newest..

I took your 3029 days (oldest to newest) and found that there were 3 unusual days thus the following equation enter image description hereenter image description here with Actual/Fit and Forecast here enter image description hereenter image description here

All models are wrong ... but some are useful .... . It is fundamentally a random walk with no driftan autoregressive process of order 1 after one has adjusted for the three "unusual data points " ... two of which are the most recent see ....enter image description here for a clear support for the anomaly identification.

Plot of the residuals from enter image description herefrom the above model suggesting increasingreduced variability might be presentis clearly obvious (. It is reasonable to suggest that there has been a break-point in the model error variance suggesting GLS or a weighted model . This was not not investigated here due to sample size ! ).

Here is the plot of the original data enter image description here ... doesn't seem to resemble yours ....enter image description here

enter image description here

oops you presented the data in a backwards fashion .... quite unorthodox

I will have to scrap this and resort from oldest to newest..

I took your 30 days and found that there were 3 unusual days thus the following equation enter image description here with Actual/Fit and Forecast here enter image description here

All models are wrong ... but some are useful .... . It is fundamentally a random walk with no drift after one has adjusted for the three "unusual data points " ... two of which are the most recent .....

Plot of the residuals from the above model suggesting increasing variability might be present ( not investigated here due to sample size ! ).

Here is the plot of the original data enter image description here ... doesn't seem to resemble yours ....

enter image description here

I took your 29 days (oldest to newest) and found that there were 3 unusual days thus the following equation enter image description here with Actual/Fit and Forecast here enter image description here

All models are wrong ... but some are useful .... . It is fundamentally an autoregressive process of order 1 after one has adjusted for the three "unusual data points " see enter image description here for a clear support for the anomaly identification.

Plot of the residuals enter image description herefrom the above model suggesting reduced variability is clearly obvious . It is reasonable to suggest that there has been a break-point in the model error variance suggesting GLS or a weighted model . This was not not investigated here due to sample size ! ).

Here is the plot of the original data enter image description here

enter image description here

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Source Link
IrishStat
  • 30k
  • 5
  • 36
  • 60

oops you presented the data in a backwards fashion .... quite unorthodox

I will have to scrap this and resort from oldest to newest..

I took your 30 days and found that there were 3 unusual days thus the following equation enter image description here with Actual/Fit and Forecast here enter image description here

All models are wrong ... but some are useful .... . It is fundamentally a random walk with no drift after one has adjusted for the three "unusual data points " ... two of which are the most recent .....

Plot of the residuals from the above model suggesting increasing variability might be present ( not investigated here due to sample size ! ).

Here is the plot of the original data enter image description here ... doesn't seem to resemble yours ....

enter image description here

I took your 30 days and found that there were 3 unusual days thus the following equation enter image description here with Actual/Fit and Forecast here enter image description here

All models are wrong ... but some are useful .... . It is fundamentally a random walk with no drift after one has adjusted for the three "unusual data points " ... two of which are the most recent .....

Plot of the residuals from the above model suggesting increasing variability might be present ( not investigated here due to sample size ! ).

Here is the plot of the original data enter image description here ... doesn't seem to resemble yours ....

enter image description here

oops you presented the data in a backwards fashion .... quite unorthodox

I will have to scrap this and resort from oldest to newest..

I took your 30 days and found that there were 3 unusual days thus the following equation enter image description here with Actual/Fit and Forecast here enter image description here

All models are wrong ... but some are useful .... . It is fundamentally a random walk with no drift after one has adjusted for the three "unusual data points " ... two of which are the most recent .....

Plot of the residuals from the above model suggesting increasing variability might be present ( not investigated here due to sample size ! ).

Here is the plot of the original data enter image description here ... doesn't seem to resemble yours ....

enter image description here

added 234 characters in body
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IrishStat
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added 234 characters in body
Source Link
IrishStat
  • 30k
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  • 36
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Source Link
IrishStat
  • 30k
  • 5
  • 36
  • 60
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