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Tags

#m249 #mathematics #open-university #statistics #time-series

Question

Suppose that the time series X_{t} can be described by an additive non-seasonal model with a linear trend component, that is,

X_{t} = m + bt + W_{t} , where b is the slope of the trend component m_{t} = [...].

Note that

X_{t+1} = m + b(t +1) + W_{t+1}

=(m + bt) + b + W_{t+1}

= m_{t} + b + W_{t+1}

X

Note that

X

=(m + bt) + b + W

= m

Answer

m + bt

Tags

#m249 #mathematics #open-university #statistics #time-series

Question

Suppose that the time series X_{t} can be described by an additive non-seasonal model with a linear trend component, that is,

X_{t} = m + bt + W_{t} , where b is the slope of the trend component m_{t} = [...].

Note that

X_{t+1} = m + b(t +1) + W_{t+1}

=(m + bt) + b + W_{t+1}

= m_{t} + b + W_{t+1}

X

Note that

X

=(m + bt) + b + W

= m

Answer

?

Tags

#m249 #mathematics #open-university #statistics #time-series

Question

Suppose that the time series X_{t} can be described by an additive non-seasonal model with a linear trend component, that is,

X_{t} = m + bt + W_{t} , where b is the slope of the trend component m_{t} = [...].

Note that

X_{t+1} = m + b(t +1) + W_{t+1}

=(m + bt) + b + W_{t+1}

= m_{t} + b + W_{t+1}

X

Note that

X

=(m + bt) + b + W

= m

Answer

m + bt

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Suppose that the time series X t can be described by an additive non-seasonal model with a linear trend component, that is, X t = m + bt + W t , where b is the slope of the trend component m t = m + bt. Note that X t+1 = m + b(t +1) + W t+1 =(m + bt) + b + W t+1 = m t + b + W t+1

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Suppose that the time series X t can be described by an additive non-seasonal model with a linear trend component, that is, X t = m + bt + W t , where b is the slope of the trend component m t = m + bt. Note that X t+1 = m + b(t +1) + W t+1 =(m + bt) + b + W t+1 = m t + b + W t+1

status | not learned | measured difficulty | 37% [default] | last interval [days] | |||
---|---|---|---|---|---|---|---|

repetition number in this series | 0 | memorised on | scheduled repetition | ||||

scheduled repetition interval | last repetition or drill |

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