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(Situation G) the Number of Industrial and Construction Failures in the United

question 19

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(Situation G) The number of industrial and construction failures in the United States by the type of firm for the years 1985-1996 is given in the table.  Year  Commercial  Manufacturing  Retail  Trade  Wholesale  Trade 1985163722621645479910891986133117701360413910281987104114631122340688719887731204101328897401989930137811653183908199015942355159949101284199123663614222368821709199238404872368397302783199386275247443311,4293598199412,7876936575913,7874882199516,6477004566213,5014835199620,9117035564113,5094808\begin{array} { r r r r r r } \hline \text { Year } & \text { Commercial } & \text { Manufacturing } & \begin{array} { r } \text { Retail } \\\text { Trade }\end{array} & \begin{array} { l } \text { Wholesale } \\\text { Trade }\end{array} \\\hline 1985 & 1637 & 2262 & 1645 & 4799 & 1089 \\1986 & 1331 & 1770 & 1360 & 4139 & 1028 \\1987 & 1041 & 1463 & 1122 & 3406 & 887 \\1988 & 773 & 1204 & 1013 & 2889 & 740 \\1989 & 930 & 1378 & 1165 & 3183 & 908 \\1990 & 1594 & 2355 & 1599 & 4910 & 1284 \\1991 & 2366 & 3614 & 2223 & 6882 & 1709 \\1992 & 3840 & 4872 & 3683 & 9730 & 2783 \\1993 & 8627 & 5247 & 4433 & 11,429 & 3598 \\1994 & 12,787 & 6936 & 5759 & 13,787 & 4882 \\1995 & 16,647 & 7004 & 5662 & 13,501 & 4835 \\1996 & 20,911 & 7035 & 5641 & 13,509 & 4808 \\\hline\end{array}
-Using just the wholesale trade failures and a smoothing constant w=0.7\mathrm { w } = 0.7 , calculate the exponentially smoothed value for 1988.


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