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The Business School at Eastern College is collecting data as afirst step in the preparation of next year's budget. One cost thatis being looked at closely is administrative staff as a function ofstudent credit hours. Data on administrative costs and credit hoursfor the most recent 13 months follow.MonthAdministrative CostsCredit HoursJuly$129,301250August82,613115September228,5801,392October216,3941,000November258,2631,309December184,4491,112January219,1371,339February245,0001,373March209,6421,064April191,9251,123May249,9781,360June170,418420July128,167315Total$2,513,86712,172Average$193,374936The controller's office has analyzed the data and given you theresults from the regression analysis, as follows.SUMMARY OUTPUTRegression StatisticsMultiple R0.93339145R Square0.871219590Adjusted R Square0.859512280Standard Error19954.56760Observations13ANOVAdfSSMSFSignificance FRegression129631603873.0029631603873.0074.42000000.0000032Residual114380032428398184766Total1234011636301.00CoefficientsStandard ErrorT StatP-valueLower 95%Upper 95%Intercept96414.55712528.429047.695662110.000009468839.6563123989.4569Credit Hours103.555517912.00433178.626512570.000003277.1341487129.9768871Required:a. In the standard regression equationy = a + bx, the letter b isbest described as the:Constant coefficientCorrelation coefficientDependent variableIndependent variableVariable cost coefficientb. In the standard regression equationy = a + bx, the letter y isbest described as the:Constant coefficientCorrelation coefficientDependent variableIndependent variableVariable cost coefficientc. In the standard regression equationy = a + bx, the letter x isbest described as the:Constant coefficientCorrelation coefficientDependent variableIndependent variableVariable cost coefficientd. If the controller uses the high-low methodto estimate costs, the cost equation for administrative costs is:(Do not round your intermediate calculations.)Cost = $69,468 + ($114 Ă— Credit hours)Cost = $67,313 + ($133 Ă— Credit hours)Cost = $193,374.00 Ă— Credit hoursCost = $207Some other equatione. Based on the results of the controller'sregression analysis, the estimate of administrative costs in amonth with 1,000 credit hours would be: (Round yourintermediate calculations to 2 decimals.)198,808201,00096,409199,975Some other amountf. The correlation coefficient (rounded) forthe regression equation for administrative costs is:0.8710.9330.8590.966Some other amountg. The percent of the total variance (rounded)that can be explained by the regression is:93.387.185.996.6Some other amount