(1)
. Therefore, only q errors will affect the existing level, but higher order errors do not affect
. This indicates that it is a short memory model.
Auto-Regression (AR)
p, an AR (
(2)
The model is described in terms of past values and therefore we would like to estimate the coefficients
, and use the model for forecasting. All previous values will have cumulative effects on the existing level, which is a long-run memory model.
Autoregressive Integrated Moving Average (ARIMA) Process
ARIMA modeling methods were used in this study based on a common method available for modeling and forecasting the time series data. ARIMA is the most common class of time series models which can be made “stationary” by differencing (if necessary), possibly in combination with non-linear transformations such as logging or deflating (if necessary)
Updated: 5:00 PM EDT Apr 18, 2021 The Massachusetts Department of Public Health reported an additional 1,265 confirmed COVID-19 cases Sunday, bringing the statewide total to 631,471 since the start of the pandemic. State health officials also added seven confirmed COVID-19-related deaths to the state s total, which is now 17,117.So far, about 5.91 million doses of COVID-19 vaccine have been shipped to Massachusetts, of which 86.0% have been administered. So far, about 2.04 million people in the state are fully vaccinated.An estimated 34,553 cases are active across Massachusetts, according to the report.Click here to see a graphical look at COVID-19 dataLatest town-by-town breakdown released by stateThe report said 701 patients with confirmed coronavirus cases were hospitalized in Massachusetts, of which 162 were reported to be in an intensive care unit.In the DPH s weekly report released on Thursday, 59 communities were in the Red, or at high risk of COVID-19, down from
Updated: 5:01 PM EDT Apr 17, 2021 The Massachusetts Department of Public Health reported an additional 1,694 confirmed COVID-19 cases Saturday, bringing the statewide total to 630,206 since the start of the pandemic. State health officials also added 10 confirmed COVID-19-related deaths to the state s total, which is now 17,110.So far, about 5.82 million doses of COVID-19 vaccine have been shipped to Massachusetts, of which 86.1% have been administered.On Saturday, the DPH announced that more than 2 million people in the state are fully vaccinated. The grand total of doses administered in the state, meanwhile, has now surpassed 5 million.An estimated 34,682 cases are active across Massachusetts, according to the report.Click here to see a graphical look at COVID-19 dataLatest town-by-town breakdown released by stateThe report said 693 patients with confirmed coronavirus cases were hospitalized in Massachusetts, of which 169 were reported to be in an intensive care unit.In
Updated: 5:04 PM EDT Apr 5, 2021 The Massachusetts Department of Public Health reported an additional 2,912 confirmed COVID-19 cases Monday, bringing the statewide total to 607,967 since the start of the pandemic.State health officials also added 43 confirmed COVID-19-related deaths to the state s total, which is now 16,981. Monday s data report includes previously delayed data after the DPH did not publish a COVID-19 data report on Sunday due to the Broad Institute experiencing reporting issues. So far, a total of 4.62 million doses of COVID-19 vaccine have been shipped to Massachusetts, of which 85.3% have been administered. So far, 1.49 million people in the state are fully vaccinated.An estimated 35,167 cases are active across Massachusetts, according to the report.Click here to see a graphical look at COVID-19 dataLatest town-by-town breakdown released by stateThe report said 707 patients with confirmed coronavirus cases were hospitalized in Massachusetts, of which 16