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Unit2 LinearRegression Operations Management

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MBA576 Unit 2 Individual Assignment
You just finished your MBA degree and your boss wants “to show you off” in an
upcoming staff meeting because she feels you have a lot of potential. Needless to say,
you feel some pressure.
She says the company’s machines have required “high number of repairs” over the past
year and feels the repair service staff needs to be “beefed up”, but she is not sure how
many new staff are needed. The repair department was stood up one year ago, and
she tasks you to come up with staffing estimates to make sure there are enough repair
staff to meet the demand. Below is the data she gives you for the past 16 months, and
then she asks, “How many repair staff positions would you forecast we need in the next
6 months?”
Year 1 - # of repair calls received. The repair staff is open from 7am to 7pm, seven
days a week, and repair staff work the entire 12-hour shift. You can assume a single
repair takes an average of 30 minutes for each repair.
Month
Jan
Feb
Mar
Apr
May
Jun
Jul
Aug
Sep
Oct
Nov
Dec
Jan
Feb
Mar
Apr
Average # of repair calls
received per day for each
month the repair office
was open in year 1
25
19
28
32
42
47
50
49
52
54
53
59
49
40
42
47
a. Using Excel, create a linear regression equation to model the number of repairs
per month.
Scatter Plot Months Versus Calls
70
y = 1,5853x + 29,525
R² = 0,4342
60
Calls
50
40
30
20
10
0
0
2
4
6
8
10
12
14
16
18
Months
SUMMA
RY
OUTPUT
Regression Statistics
Multiple
0.65892
R
617
0.43418
R Square
37
Adjusted 0.39376
R Square
825
Standard 8.91838
Error
579
Observat
ions
16
ANOVA
df
Regressi
on
1
Residual
Total
14
15
Coefficie
nts
Intercept
Months
29.525
1.58529
SS
854.473
529
1113.52
647
1968
Standar
d Error
4.67684
096
0.48366
MS
854.473
529
79.5376
05
t Stat
6.31302
202
3.27765
Significa
F
nce F
10.7430 0.00550
131
154
P-value
1.9131E
-05
0.00550
Lower
95%
19.4941
738
0.54793
Upper
95%
39.5558
262
2.62265
Lower
95.0%
19.4941
738
0.54793
Upper
95.0%
39.5558
262
2.62265
412
738
359
154
076
747
076
747
b. How many repair calls does the regression equation predict for June of year 2?
58.1 calls predicted. Months 17 - 22 are May (17), Jun (18), Jul (19), Aug (20),
Sep (21), and Oct (22).
Forecast
Months Estimated Calls
17
56.5
18
58.1
19
59.6
20
61.2
21
62.8
22
64.4
c. Given your prediction for June of year 2, how many repair staff members do you
forecast will be needed per 12-hour shift to handle the load?
58 calls * 30 minutes = 1,740 mins / 60= 29/12 hr shift = 2.41
Minimum requirement is 3 staff members.
Submit your findings in a Word document and include the Excel spread sheet.
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