Question
High-Low, Scattergraph, and Regression Analysis; Manufacturing Company.Kitchen Inc., produces kitchen counter tops. Manufacturing overhead costs tend to fluctuate from one month to the next, and
High-Low, Scattergraph, and Regression Analysis; Manufacturing Company.Kitchen Inc., produces kitchen counter tops. Manufacturing overhead costs tend to fluctuate from one month to the next, and management would like to accurately estimate these costs for planning and decision-making purposes.The accounting staff at Kitchen Products recommends that costs be broken down into fixed and variable components. Because the production process is highly automated, most of the manufacturing overhead costs are related to machinery and equipment. The accounting staff believes the best starting point is to review historical data for costs and machine hours:
Reporting Period (Month) | Total Costs | Machine Hours |
January | $278,000 | 1,550 |
February | 280,000 | 1,570 |
March | 266,000 | 1,115 |
April | 290,000 | 1,700 |
May | 262,000 | 1,110 |
June | 269,000 | 1,225 |
July | 275,000 | 1,335 |
August | 286,000 | 1,660 |
September | 250,000 | 1,000 |
October | 253,000 | 1,020 |
November | 260,000 | 1,025 |
December | 281,000 | 1,600 |
These data were entered into a computer regression program, which produced the following output:
Coefficients | |
y-intercept | 210,766 |
xvariable | 45.31 |
Required:
- A. Usethefourstepsofthehigh-lowmethodtoestimatetotalfixedcostspermonthandthevariablecostpermachinehour.StateyourresultsinthecostequationformY=f+vXbyfillinginthedollaramountsforfandv.
- B.Usethefivestepsofthescattergraphmethodtoestimatetotalfixedcostspermonth,andthevariablecostpermachinehour.StateyourresultsinthecostequationformY=f+vXbyfillinginthedollaramountsforfandv.
- C.UsetheregressionoutputgiventodevelopthecostequationY=f+vXbyfillinginthedollaramountsforfandv.
- D.Usetheresultsofthehigh-lowmethod(a),scattergraphmethod(b),andregressionanalysis(c),toestimatecostsfor1,300machinehours.(Youwillhavethreedifferentanswersoneforeachmethod.)Whichapproachdoyouthinkismostaccurateandwhy?
- E.Managementlikestheregressionanalysisapproachandasksyoutoestimatecostsfor5,000machinehoursusingthisapproach(thecompanyplanstoexpandbyopeninganotherfacilityandhiringadditionalemployees).Calculateyourestimate,andexplainwhyyourestimatemightbemisleading.
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