Suppose that the time series Xt can be described by an additive non-seasonal model with a linear trend component, that is,
Xt = m + bt + Wt , where b is the slope of the trend component mt = [...].
Note that
Xt+1 = m + b(t +1) + Wt+1
=(m + bt) + b + Wt+1
= mt + b + Wt+1
Suppose that the time series Xt can be described by an additive non-seasonal model with a linear trend component, that is,
Xt = m + bt + Wt , where b is the slope of the trend component mt = [...].
Note that
Xt+1 = m + b(t +1) + Wt+1
=(m + bt) + b + Wt+1
= mt + b + Wt+1
Suppose that the time series Xt can be described by an additive non-seasonal model with a linear trend component, that is,
Xt = m + bt + Wt , where b is the slope of the trend component mt = [...].
Note that
Xt+1 = m + b(t +1) + Wt+1
=(m + bt) + b + Wt+1
= mt + b + Wt+1
Answer
m + bt
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Open it 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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