Write an equation that predicts the total cost

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You work for a company that builds environmentally controlled inventory storage facilities for electronic parts.

All the facilities you have built in the past are listed in the table below.

Assuming no inflation, write an equation that predicts the total cost of one of your storage facilities.

The objective is to produce a reasonable model that fits the existing data with an R 2 > 0.95.

("Reasonable" in this case excludes anything greater than a 3rd order polynomial.)

Floors

Gross Floor Area (ft2)

Perimeter (ft)

Total Cost

2

600

200

$2,084,440

3

500

103

$1,703,1715

1

1000

800

$3,659,600

4

1435

450

$6,158,784

1

2000

179

$5,341,878.5

2

600

98

$1,800,574

3

780

74

$2,295,105

4

1400

500

$6,347,960

1

600

196

$1,800,574

2

3000

219

$8,248,677

3

600

600

$4,032,540

4

4000

800

$14,638,400

1

600

100

$1,666,990

2

400

234

$1,669,782

3

2540

700

$9,390,006

4

600

500

$4,310,840

Reference no: EM131989267

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