Question

In: Statistics and Probability

The U.S. Department of Commerce publishes data on industrial machinery and equipment. Shown here are the...

The U.S. Department of Commerce publishes data on industrial machinery and equipment. Shown here are the shipments (in $ billions) of industrial machinery and equipment from the first quarter of year 1 through the fourth quarter of year 6. Use these data and the seasonal indexes below to deseasonalize the data.

Time Period Industrial Machinery and
Equipment Shipments
1st quarter (year 1) 54.019
2nd quarter 56.495
3rd quarter 50.169
4th quarter 52.891
1st quarter (year 2) 51.915
2nd quarter 55.101
3rd quarter 53.419
4th quarter 57.236
1st quarter (year 3) 57.063
2nd quarter 62.488
3rd quarter 60.373
4th quarter 63.334
1st quarter (year 4) 62.723
2nd quarter 68.380
3rd quarter 63.256
4th quarter 66.446
1st quarter (year 5) 65.445
2nd quarter 68.011
3rd quarter 63.245
4th quarter 66.872
1st quarter (year 6) 59.714
2nd quarter 63.590
3rd quarter 58.088
4th quarter 61.443
Quarter Index
1 98.07
2 103.84
3 97.04
4 101.05

Give the answer for quarter 1 year 5. (Rounded to three decimal places.)

1st Quarter (year 5)=

Solutions

Expert Solution

The Seasonal Index given are wrong.

See below the correct Seasonal Index (S.I).

Actual = actual shipment values

avg.S.I. = average of Seasonal indices for i th quarter ( i = 1,2,3,4)

1st Quarter (year 5) = 67.205


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