The manager of the main laboratory facility at Urban Health Center is interested in being able...

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The manager of the main laboratory facility at Urban HealthCenter is interested in being able to predict the overhead costseach month for the lab. The manager believes that total overheadvaries with the number of lab tests performed but that some costsremain the same each month regardless of the number of lab testsperformed.

After running a regression analysis on the first seven months ofthe​ year, the manager of the main laboratory facility at UrbanHealth Center collects seven additional months of data. The numberof tests performed and the total monthly overhead costs for thelab​ follow:

Number of Lab Tests

Total Laboratory

Month

Performed

Overhead

August

3,350

$23,500

September

3,700

$27,550

October

3,650

$24,500

November

3,450

$26,400

December

4,200

$28,500

January

2,500

$22,800

February

3,800

$25,350

Use Excel to do the​ following:

1.

Run a regression analysis using data for August throughFebruary.

2.

Determine the​ lab's cost equation​ (use the output from theregression analysis you performed using​ Excel).

3.

Determine the​ R-square using the Excel output you obtain. Whatdoes the​ lab's R-square​ indicate?

4.

Predict the​ lab's total overhead costs for the month if 3,400tests are preformed.

Requirements 1 and 2. Use Excel to run aregression analysis using data for August through February anddetermine the​ lab's cost equation​ (use the output from theregression analysis you perform using​ Excel). ​(Enter all dollaramounts to two decimal​ places.)

y = $

x + $

Answer & Explanation Solved by verified expert
4.1 Ratings (567 Votes)

using excel>data>data analysis>regression

we have

Ans 1 )

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.79588
R Square 0.633425
Adjusted R Square 0.56011
Standard Error 1389.213
Observations 7
ANOVA
df SS MS F Significance F
Regression 1 16674011 16674011 8.639778 0.032281
Residual 5 9649560 1929912
Total 6 26323571
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept 14368.13 3828.227 3.753208 0.01325 4527.363 24208.9 4527.363 24208.9
number of lab test 3.165236 1.076849 2.93935 0.032281 0.397108 5.933365 0.397108 5.933365

Ans 2 ) the​ lab's cost equation is y = 14368.13+3.17 * number of lab test

Ans 3 ) the​ R-square 0.6334 it indicates that 63.34 % variation in Total Laboratory overhead explained by number of lab test

Ans 4 )the​ lab's total overhead costs for the month if 3,400 tests are preformed is 14368.13+3.17 *3400 = 25146.13



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