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Alpha Company believes the number of machine hours used directly affects their total electricity costs. Machine hours and electricity costs for 2004 were as follows.

Alpha Company believes the number of machine hours used directly affects their total electricity costs. Machine hours and electricity costs for 2004 were as follows.

Month

Machine Hours

Electricity Costs

January

150

$2,400

February

120

1,700

March

290

3,100

April

430

3,900

May

520

4,500

June

470

4,400

July

570

5,600

August

450

4,900

September

620

5,700

October

370

3,100

November

240

2,800

December

190

2,600

  1. Using the high?low method based on machine hours, develop an estimate of variable electricity costs per machine hour. (Do not throw out any outliers, if present.)
  2. Using the high?low method based on machine hours, develop an estimate of fixed electricity costs per month. (Do not throw out any outliers, if present.)
  3. Using the your answers to 1. and 2. (above), write the cost formula for estimating monthly electricity costs for Alpha Company (in the format Y=a+bX).
  4. Using your answer to 3. (above), estimate the electricity costs for a month in which 400 machine hours are used.

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