Question $10$

$6\mathrm{.}25pts$

If you made a forecast for Week $4,$ based on a $4$ week weighted moving average, with oldest data to most recent data weighted $0\mathrm{.}10,0\mathrm{.}20,0\mathrm{.}30,$ and $0\mathrm{.}40,$ respectively, how much would your forecast be different from the actual jobless claims?

$\backslash$table$[[$Week$,$lobless claims$],[,($in thousands$)],[1,400],[2,393],[3,392],[4,396],[5,404],[6,385],[7,368],[8,366],[9,387],[10,375],[11,402],[12,355],[13,379],[14,373],[15,361],[16,351],[17,353],[18,351],[19,]]$