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#exponential-smoothing

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Question 1: Short answer

mediumAI-checkedTime Series

Simple exponential smoothing with α=0.3\alpha = 0.3 forecasts y^t+1=αyt+(1−α)y^t\hat y_{t+1} = \alpha y_t + (1-\alpha)\hat y_t. Starting from y^1=10\hat y_1 = 10, the observations are y1=10y_1 = 10, y2=14y_2 = 14, y3=8y_3 = 8. What is the forecast y^4\hat y_4? Give 2 decimals.

a number, 2 decimals