The manager of the main laboratory facility at Elmhurst HealthElmhurst 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.

Requirements

1.

Determine the lab's cost equation (use the output from the Excel regression).

2.

Determine the R-square (use the output from the Excelregression).

3.

Predict the total laboratory overhead for the month if 3,100 tests are performed

Data Table

Number of Lab Tests

Total Laboratory

Month

Performed

Overhead Costs

January. . . . . . . . .

3,000

$21,900

February. . . . . . . .

2,850

$20,600

March. . . . . . . . . . .

3,400

$28,900

April. . . . . . . . . . . .

3,700

$31,000

May. . . . . . . . . . . .

3,900

$28,000

June. . . . . . . . . . . .

1,900

$20,200

July. . . . . . . . . . . .

2,050

$14,000

The laboratory manager performed a regression analysis to predict total laboratory overhead costs. The output generated by Excel is as follows:

SUMMARY OUTPUT

Regression Statistics

Multiple R

0.878214

R Square

0.77126

Adjusted R Square

0.725512

Standard Error

3156.338706

Observations

7

ANOVA

df

SS

MS

F

Significance F

Regression

1

167956201.3

167956201.3

16.858885

0.009301

Residual

5

49812370.15

9962474.03

Total

6

217768571.4

Standard

Lower

Upper

Coefficients

Error

t Stat

P-value

95%

95%

Intercept

3187.94

5092.169

0.626

0.559

-9901.898

16277.778

X Variable 1

6.84

1.666

4.106

0.009

2.558

11.123