The table below represents the litres of juice that John had hoped to sell ( left(hat{y}_{i} ight) ) and the litres that he had sold ( left(y_{i} ight): ) egin{tabular}{|l|c|c|c|c|c|c|c|} hline Days & 1 & 2 & 3 & 4 & 5 & 6 & 7 \ hline Actual observations ( left(y_{i} ight) ) & 39 & 22 & 23 & 26 & 11 & 28 & 13 \ hline Estimated observations ( left(hat{y}_{i} ight) ) & 45 & 18 & 23 & 27 & 15 & 24 & 11 \ hline end{tabular} 2.1) In your own words, define what is the difference between overestimation and underestimation. (6) 2.2) On which days was there overestimation? (3) 2.3) On which days was there underestimation? (3) 2.4) Calculate the forecast errors for these estimates. (4) 2.5) Identify the day on which the juice sales were most disappointing. (4) 2.6) On which day did John make the best prediction (3)
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- Overestimation occurs when the estimated value (\(\hat{y}_{i}\)) is greater than the actual value (\(y_{i}\)). This means that the prediction was higher than what actually occurred. - Underestimation occurs when the estimated value (\(\hat{y}_{i}\)) is less than Show more…
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