The index of leading economic indicators, compiled and published by the U.S. National Bureau of Economic Research, is composed of 12 time series, such as the average work hours of production in manufacturing, manufacturers' new orders, and money supply. This index and similar indexes are designed to move up or down before the economy begins to move the same way. Thus, an economist has statistical evidence to forecast future trends.
You want to construct a leading indicator for Erie County in upstate New York. The index is to be based on 2000 data. Because of the time and work involved, you decide to use only four time series. As an experiment, you select these four series: unemployment in the county, a composite index of county stock prices, the County Price Index, and retail sales. Here are the figures for 2000 and 2005.
2000 2005
Unemployment rate (percent) 5.3 6.8
Composite county stocks 265.88 362.26
County Price Index (1982 _ 100) 109.6 125.0
Retail sales ($ millions) 529,917.0 622,864.0
The weights you assign are: unemployment rate 20 percent, stock prices 40 percent, County Price Index 25 percent, and retail sales 15 percent.
a. Using 2000 as the base period, construct a leading economic indicator for 2005.
b. Interpret your leading index.