The conference board publishes data on business cycle indicators (bci). the composite index of leading economic indicators is one of the three components of the bci. changes in leading economic indicators usually precede changes in gdp. some of the variables tracked by the index are listed below. i. the average weekly hours worked by manufacturing workersii. the average number of initial applications for unemployment insuranceiii. the amount of new orders for capital goods unrelated to defenseiv. the amount of new building permits for residential buildingsv. the s& p 500 stock indexvi. consumer sentimentexamine each variable and explain whether it is likely to be positively correlated, negatively correlated, or uncorrelated with real gdp. a.the average weekly hours worked by manufacturing workers is likely to be with real gdp. b.the average number of initial applications for unemployment insurance is likely to be with real gdp. c.the amount of new orders for capital goods unrelated to defense is likely to be with real gdp. d.the amount of new building permits for residential buildings is likely to be with real gdp. e.the s& p 500 stock index is likely to be with real gdp. f.consumer sentiment is likely to be with real gdp.