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The manager of the main laboratory facility at CenterHealth Center is interested in being able to predict the overhead costs each month for the lab.
The manager of the main laboratory facility at CenterHealth Center is interested in being able to predict the overhead costs each month for the lab. The manager believes that total overhead varies with the number of lab tests performed but that some costs remain the same each month regardless of the number of lab tests performed. The lab manager collected the following data for the first seven months of the year (Click the icon to view the data.) The laboratory manager performed a regression analysis to predict total laboratory overhead costs. The output generated by Excel is as follows: (Click the icon to view the completed regression analysis.) Read the requirements. Data table Number of Lab Month Tests Performed Total Laboratory Overhead Costs January.. 3,300 $29,000 February .... 3,100 $28,500 March 3,900 $30,000 April........ 3,850 $31,000 May 4,100 $26,500 June 2,100 $19,100 July 2,300 $15,900 Print Done - Data table 1 A B SUMMARY OUTPUT Regression Statistics 2 3 Multiple R 0.838886 4 R Square 0.70373 5 Adjusted R Square 0.644476 6 Standard Error 3489.925912 7 Observations 8 ANOVA 7 D E F G 9 df SS 10 Regression 1 144650657.06 144650657.06 11.876487 MS F Significance F 0.018312 11 Residual 5 60897914.37 12179582.873 12 Total 6 205548571.43 13 Coefficients Standard Error t Stat P-value Lower 95% 14 Intercept 5627.61 5975.992 0.942 0.390 -9734.165 Upper 95% 20989.389 15 X Variable 1 6.21 1.801 3.446 0.018 1.577 10.838 Print Done - X Requirement 1. Determine the lab's cost equation (use the output from the Excel regression). (Round the amounts to two decimal places.) y= x + Requirement 2. Determine the R-squared (use the output from the Excel regression). The R-squared is What does CenterHealth's R-squared indicate? The R-squared indicates that the cost equation explains of the variability in the data. In other words, it equation to predict total costs at other volumes within the same relevant range. Requirement 3. Predict the total laboratory overhead for the month if 3,200 tests are performed. (Round your answer to the nearest cent.) The total laboratory overhead at a volume of 3,200 lab tests is CenterHealth feel confident using this cost
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