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The manager of the main laboratory facility at Urban Health Center is interested in being able to predict the overhead costs each month for the
The manager of the main laboratory facility at Urban Health 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 .. - X Data table Requirement 1. Determine the lab's cost equation (use the output from the Excel regression). (Round the amounts to two decimal places.) y = X + D E F G Data table Number of Lab Tests Performed A B 1 SUMMARY OUTPUT 2 Regression Statistics 3 Multiple R 4 R Square 5 Adjusted R Square 6 Standard Error 0.923177 Total Laboratory Overhead Costs $27,200 Month 0.852256 3,200 January ..... February .... 0.822708 2,900 $26,500 2247.944406 March 3,700 $30,300 7 Observations 7 4.100 April..... | May $32,600 $30,000 8 ANOVA 4,400 9 df SS MS F Significance F June 1,900 $ 19,000 10 Regression 2,500 1 1457480 15.44 0.0030131 1457480 15.44 28.842408 July ........ $ 19,400 11 Residual 5 25266270.27 5053254.054 12 Total 6 6 171014285.71 Requirements 13 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% 14 Intercept 8478.92 2.459 0.057 -385.899 17343.737 3448.565 1.031 15 X Variable 1 5.54 5.371 0.003 2.886 8.185 1. Determine the lab's cost equation (use the output from the Excel regression). 2. Determine the R-squared (use the output from the Excel regression). 3. Predict the total laboratory overhead for the month if 3,100 tests are performed
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