Question

In: Statistics and Probability

You are recently appointed as a centralized “Cost Control Analyst” for one of the bank in...

  1. You are recently appointed as a centralized “Cost Control Analyst” for one of the bank in Toronto. Head of Banking operations in Toronto Mr. Horton has asked you to analyse the cost of basic stationary as Stationary in different regions of the bank seems to be one of the highest cost. He wants you to come up with your statistical analysis with two pager report. Use Central tendencies, Standard deviation and Regression analysis techniques along with graphical representation. (30 Marks

OrderDate

Region

Rep

Item

Units

UnitCost

Total

1/6/2019

East

Jones

Papers

95

1.99

189.05

1/23/2019

Central

Kivell

   Files

50

19.99

999.50

2/9/2019

Central

Jardine

Papers

36

4.99

179.64

2/26/2019

Central

Gill

Pen

27

19.99

539.73

3/15/2019

West

Sorvino

Papers

56

2.99

167.44

4/1/2019

East

Jones

   Files

60

4.99

299.40

4/18/2019

Central

Andrews

Papers

75

1.99

149.25

5/5/2019

Central

Jardine

   Files

90

4.99

449.10

5/22/2019

West

Thompson

Papers

32

1.99

63.68

6/8/2019

East

Jones

   Files

60

8.99

539.40

6/25/2019

Central

Morgan

Pen

90

4.99

449.10

7/12/2019

East

Howard

   Files

29

1.99

57.71

7/29/2019

East

Parent

   Files

81

19.99

1,619.19

8/15/2019

East

Jones

Papers

35

4.99

174.65

9/1/2019

Central

Smith

   Files

2

19.99

138

9/18/2019

East

Jones

Pen Set

16

15.99

255.84

10/5/2019

Central

Morgan

   Files

28

8.99

251.72

10/22/2019

East

Jones

Pen

64

8.99

575.36

11/8/2019

East

Parent

Pen

15

19.99

299.85

11/25/2019

Central

Kivell

Pen Set

96

4.99

479.04

12/12/2019

Central

Smith

Papers

67

1.29

86.43

12/29/2019

East

Parent

Pen Set

74

15.99

1,183.26

1/15/2020

Central

Gill

Binder

46

8.99

413.54

Solutions

Expert Solution

The various statistical measures for the report

Sorted Data
Region Rep Item Units Unit Cost Total
Central Andrews Papers 75.00 1.99 149.25
Central Andrews Papers 75.00 1.99 149.25
Central Gill Pen 27.00 19.99 539.73
Central Gill Pen 27.00 19.99 539.73
Central Jardine Files 90.00 4.99 449.10
Central Jardine Files 90.00 4.99 449.10
Central Jardine Papers 36.00 4.99 179.64
Central Jardine Papers 36.00 4.99 179.64
Central Kivell Files 50.00 19.99 999.50
Central Kivelll Files 50.00 19.99 999.50
Central Morgan Pen 90.00 4.99 449.10
Central Morgan Pen 90.00 4.99 449.10
Central Smith Files 2.00 19.99 39.98
East Howard Files 29.00 1.99 57.71
East Jones Fies 60.00 8.99 539.40
East Jones Files 60.00 4.99 299.40
East Jones Files 60.00 8.99 539.40
East Jones Files 60.00 4.99 299.40
East Jones Papers 95.00 1.99 189.05
East Jones Papers 95.00 1.99 189.05
East Jones Papers 35.00 4.99 174.65
East Jones Pen Set 16.00 15.99 255.84
East Parent Files 81.00 19.99 1619.19
West Sorvino Papers 56.00 2.99 167.44
West Sorvino Papers 56.00 2.99 167.44
West Thompson Papers 32.00 1.99 63.68
West Thompson Papers 32.00 1.99 63.68
Region # of Transactions Total Spent Average Spent Standard Deviation
Central 13.00 5572.62 428.66 292.11
East 10.00 4163.09 416.31 426.68
West 4.00 462.24 115.56 51.88
Total 27.00 10197.95 377.70 347.70

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.001869628
R Square 3.49551E-06
Adjusted R Square -0.039996365
Standard Error 361.3411975
Observations 27
Coefficients Standard Error
Intercept 376.5333903 143.036
Sl 0.083461538 8.928131

The regression equation is y(Date number) = 376.533 + 0.083 x (Spent)

RESIDUAL OUTPUT
Observation Predicted Total Residuals
1 376.6168519 -187.567
2 376.7003134 622.7997
3 376.7837749 -197.144
4 376.8672365 162.8628
5 376.950698 -209.511
6 377.0341595 -77.6342
7 377.1176211 -227.868
8 377.2010826 71.89892
9 377.2845442 -313.605
10 377.3680057 162.032
11 377.4514672 71.64853
12 377.5349288 -188.485
13 377.6183903 621.8816
14 377.7018519 -198.062
15 377.7853134 161.9447
16 377.8687749 -210.429
17 377.9522365 -78.5522
18 378.035698 -228.786
19 378.1191595 70.98084
20 378.2026211 -314.523
21 378.2860826 161.1139
22 378.3695442 70.73046
23 378.4530057 -320.743
24 378.5364672 1240.654
25 378.6199288 -203.97
26 378.7033903 -338.723
27 378.7868519 -122.947

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