The mean error of the HR department’s forecast is to be determined along with mean absolute deviation and mean absolute percent error. Concept Introduction: The following formula will be used: M e a n a b s o l u t e d e v i a t i o n = e r r o r t o t a l n u m b e r m e a n = T o t a l o f a c t u a l a t t e n d a n c e T o t a l s e s s i o n M e a n a b s o l u t e e r r o r = e r r o r a c t u a l v a l u e × 100

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Answer 1

Question

Chapter 4, Problem 1.1Q

Summary Introduction

Interpretation: The mean error of the HR department’s forecast is to be determined along with mean absolute deviation and mean absolute percent error.

Concept Introduction: The following formula will be used:

Mean absolute deviation=errortotal number

mean=Total of actual attendance Total session

Mean absolute error=erroractual value×100

Expert Solution & Answer

Answer to Problem 1.1Q

Mean error = 0.81530

Mean absolute deviation = 1.7

Mean absolute percent error = 21.88%

Explanation of Solution

The following formula will be used to calculate the mean for HR department’s forecast −

=Total of actual attendance Total session

Actual attendance = 95

Total session = 10

Therefore,

=95 10=9.5

The difference between actual attendance and mean attendance results the deviation from actual value.

(Actual attendance – mean attendance)2
(13−9.5)2	12.25
(10−9.5)2	0.25
(12−9.5)2	6.25
(12−9.5)2	6.25
(8−9.5)2	2.25
(11−9.5)2	2.25
(9−9.5)2	0.25
(9−9.5)2	0.25
(4−9.5)2	30.25
(7−9.5)2	6.25
Summation	66.5

The standard deviation can be calculated as −

S.D.=66.510=2.578

The following method will be used to calculate the standard error −

S.E.=S.D.10=2.5783.162=0.81530

Mean absolute deviation can be calculated as −

(Actual attendance – forecast attendance)	error
(13−10)	3
(10−10)	0
(12−10)	2
(12−10)	2
(8−10)	-2
(11−10)	1
(9−10)	-1
(9−10)	-1
(4−10)	-6
(7−10)	-3
Summation	17

Mean absolute deviation=errortotal number

=1710=1.7

The following formula will be used to calculate the mean absolute error for each component −

Mean absolute error=erroractual value×100

Therefore,

Actual attendance	error	erroractual value×100
13	3	313×100=23.07%
10	0	010×100=0%
12	2	212×100=16.66%
12	2	212×100=16.66%
8	-2	−28×100=−8.33
11	1	111×100=9.09%
9	-1	−19×100=−11.11%
9	-1	−19×100=−11.11%
4	-6	−64×100=−150%
7	-3	−37×100=−42.85%
	Summation	216.8810=21.88%

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Answer 2

Question

Chapter 4, Problem 1.1Q

Summary Introduction

Interpretation: The mean error of the HR department’s forecast is to be determined along with mean absolute deviation and mean absolute percent error.

Concept Introduction: The following formula will be used:

Mean absolute deviation=errortotal number

mean=Total of actual attendance Total session

Mean absolute error=erroractual value×100

Expert Solution & Answer

Answer to Problem 1.1Q

Mean error = 0.81530

Mean absolute deviation = 1.7

Mean absolute percent error = 21.88%

Explanation of Solution

The following formula will be used to calculate the mean for HR department’s forecast −

=Total of actual attendance Total session

Actual attendance = 95

Total session = 10

Therefore,

=95 10=9.5

The difference between actual attendance and mean attendance results the deviation from actual value.

(Actual attendance – mean attendance)2
(13−9.5)2	12.25
(10−9.5)2	0.25
(12−9.5)2	6.25
(12−9.5)2	6.25
(8−9.5)2	2.25
(11−9.5)2	2.25
(9−9.5)2	0.25
(9−9.5)2	0.25
(4−9.5)2	30.25
(7−9.5)2	6.25
Summation	66.5

The standard deviation can be calculated as −

S.D.=66.510=2.578

The following method will be used to calculate the standard error −

S.E.=S.D.10=2.5783.162=0.81530

Mean absolute deviation can be calculated as −

(Actual attendance – forecast attendance)	error
(13−10)	3
(10−10)	0
(12−10)	2
(12−10)	2
(8−10)	-2
(11−10)	1
(9−10)	-1
(9−10)	-1
(4−10)	-6
(7−10)	-3
Summation	17

Mean absolute deviation=errortotal number

=1710=1.7

The following formula will be used to calculate the mean absolute error for each component −

Mean absolute error=erroractual value×100

Therefore,

Actual attendance	error	erroractual value×100
13	3	313×100=23.07%
10	0	010×100=0%
12	2	212×100=16.66%
12	2	212×100=16.66%
8	-2	−28×100=−8.33
11	1	111×100=9.09%
9	-1	−19×100=−11.11%
9	-1	−19×100=−11.11%
4	-6	−64×100=−150%
7	-3	−37×100=−42.85%
	Summation	216.8810=21.88%

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Answer 3

Question

Chapter 4, Problem 1.1Q

Summary Introduction

Interpretation: The mean error of the HR department’s forecast is to be determined along with mean absolute deviation and mean absolute percent error.

Concept Introduction: The following formula will be used:

Mean absolute deviation=errortotal number

mean=Total of actual attendance Total session

Mean absolute error=erroractual value×100

Expert Solution & Answer

Answer to Problem 1.1Q

Mean error = 0.81530

Mean absolute deviation = 1.7

Mean absolute percent error = 21.88%

Explanation of Solution

The following formula will be used to calculate the mean for HR department’s forecast −

=Total of actual attendance Total session

Actual attendance = 95

Total session = 10

Therefore,

=95 10=9.5

The difference between actual attendance and mean attendance results the deviation from actual value.

(Actual attendance – mean attendance)2
(13−9.5)2	12.25
(10−9.5)2	0.25
(12−9.5)2	6.25
(12−9.5)2	6.25
(8−9.5)2	2.25
(11−9.5)2	2.25
(9−9.5)2	0.25
(9−9.5)2	0.25
(4−9.5)2	30.25
(7−9.5)2	6.25
Summation	66.5

The standard deviation can be calculated as −

S.D.=66.510=2.578

The following method will be used to calculate the standard error −

S.E.=S.D.10=2.5783.162=0.81530

Mean absolute deviation can be calculated as −

(Actual attendance – forecast attendance)	error
(13−10)	3
(10−10)	0
(12−10)	2
(12−10)	2
(8−10)	-2
(11−10)	1
(9−10)	-1
(9−10)	-1
(4−10)	-6
(7−10)	-3
Summation	17

Mean absolute deviation=errortotal number

=1710=1.7

The following formula will be used to calculate the mean absolute error for each component −

Mean absolute error=erroractual value×100

Therefore,

Actual attendance	error	erroractual value×100
13	3	313×100=23.07%
10	0	010×100=0%
12	2	212×100=16.66%
12	2	212×100=16.66%
8	-2	−28×100=−8.33
11	1	111×100=9.09%
9	-1	−19×100=−11.11%
9	-1	−19×100=−11.11%
4	-6	−64×100=−150%
7	-3	−37×100=−42.85%
	Summation	216.8810=21.88%

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Answer 4

Question

Chapter 4, Problem 1.1Q

Summary Introduction

Interpretation: The mean error of the HR department’s forecast is to be determined along with mean absolute deviation and mean absolute percent error.

Concept Introduction: The following formula will be used:

Mean absolute deviation=errortotal number

mean=Total of actual attendance Total session

Mean absolute error=erroractual value×100

Expert Solution & Answer

Answer to Problem 1.1Q

Mean error = 0.81530

Mean absolute deviation = 1.7

Mean absolute percent error = 21.88%

Explanation of Solution

The following formula will be used to calculate the mean for HR department’s forecast −

=Total of actual attendance Total session

Actual attendance = 95

Total session = 10

Therefore,

=95 10=9.5

The difference between actual attendance and mean attendance results the deviation from actual value.

(Actual attendance – mean attendance)2
(13−9.5)2	12.25
(10−9.5)2	0.25
(12−9.5)2	6.25
(12−9.5)2	6.25
(8−9.5)2	2.25
(11−9.5)2	2.25
(9−9.5)2	0.25
(9−9.5)2	0.25
(4−9.5)2	30.25
(7−9.5)2	6.25
Summation	66.5

The standard deviation can be calculated as −

S.D.=66.510=2.578

The following method will be used to calculate the standard error −

S.E.=S.D.10=2.5783.162=0.81530

Mean absolute deviation can be calculated as −

(Actual attendance – forecast attendance)	error
(13−10)	3
(10−10)	0
(12−10)	2
(12−10)	2
(8−10)	-2
(11−10)	1
(9−10)	-1
(9−10)	-1
(4−10)	-6
(7−10)	-3
Summation	17

Mean absolute deviation=errortotal number

=1710=1.7

The following formula will be used to calculate the mean absolute error for each component −

Mean absolute error=erroractual value×100

Therefore,

Actual attendance	error	erroractual value×100
13	3	313×100=23.07%
10	0	010×100=0%
12	2	212×100=16.66%
12	2	212×100=16.66%
8	-2	−28×100=−8.33
11	1	111×100=9.09%
9	-1	−19×100=−11.11%
9	-1	−19×100=−11.11%
4	-6	−64×100=−150%
7	-3	−37×100=−42.85%
	Summation	216.8810=21.88%

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Answer 5

Chapter 4, Problem 1.1Q

Summary Introduction

Interpretation: The mean error of the HR department’s forecast is to be determined along with mean absolute deviation and mean absolute percent error.

Concept Introduction: The following formula will be used:

Mean absolute deviation=errortotal number

mean=Total of actual attendance Total session

Mean absolute error=erroractual value×100

Expert Solution & Answer

Answer to Problem 1.1Q

Mean error = 0.81530

Mean absolute deviation = 1.7

Mean absolute percent error = 21.88%

Explanation of Solution

The following formula will be used to calculate the mean for HR department’s forecast −

=Total of actual attendance Total session

Actual attendance = 95

Total session = 10

Therefore,

=95 10=9.5

The difference between actual attendance and mean attendance results the deviation from actual value.

(Actual attendance – mean attendance)2
(13−9.5)2	12.25
(10−9.5)2	0.25
(12−9.5)2	6.25
(12−9.5)2	6.25
(8−9.5)2	2.25
(11−9.5)2	2.25
(9−9.5)2	0.25
(9−9.5)2	0.25
(4−9.5)2	30.25
(7−9.5)2	6.25
Summation	66.5

The standard deviation can be calculated as −

S.D.=66.510=2.578

The following method will be used to calculate the standard error −

S.E.=S.D.10=2.5783.162=0.81530

Mean absolute deviation can be calculated as −

(Actual attendance – forecast attendance)	error
(13−10)	3
(10−10)	0
(12−10)	2
(12−10)	2
(8−10)	-2
(11−10)	1
(9−10)	-1
(9−10)	-1
(4−10)	-6
(7−10)	-3
Summation	17

Mean absolute deviation=errortotal number

=1710=1.7

The following formula will be used to calculate the mean absolute error for each component −

Mean absolute error=erroractual value×100

Therefore,

Actual attendance	error	erroractual value×100
13	3	313×100=23.07%
10	0	010×100=0%
12	2	212×100=16.66%
12	2	212×100=16.66%
8	-2	−28×100=−8.33
11	1	111×100=9.09%
9	-1	−19×100=−11.11%
9	-1	−19×100=−11.11%
4	-6	−64×100=−150%
7	-3	−37×100=−42.85%
	Summation	216.8810=21.88%

Answer 6

Chapter 4, Problem 1.1Q

Summary Introduction

Interpretation: The mean error of the HR department’s forecast is to be determined along with mean absolute deviation and mean absolute percent error.

Concept Introduction: The following formula will be used:

Mean absolute deviation=errortotal number

mean=Total of actual attendance Total session

Mean absolute error=erroractual value×100

Expert Solution & Answer

Answer to Problem 1.1Q

Mean error = 0.81530

Mean absolute deviation = 1.7

Mean absolute percent error = 21.88%

Explanation of Solution

The following formula will be used to calculate the mean for HR department’s forecast −

=Total of actual attendance Total session

Actual attendance = 95

Total session = 10

Therefore,

=95 10=9.5

The difference between actual attendance and mean attendance results the deviation from actual value.

(Actual attendance – mean attendance)2
(13−9.5)2	12.25
(10−9.5)2	0.25
(12−9.5)2	6.25
(12−9.5)2	6.25
(8−9.5)2	2.25
(11−9.5)2	2.25
(9−9.5)2	0.25
(9−9.5)2	0.25
(4−9.5)2	30.25
(7−9.5)2	6.25
Summation	66.5

The standard deviation can be calculated as −

S.D.=66.510=2.578

The following method will be used to calculate the standard error −

S.E.=S.D.10=2.5783.162=0.81530

Mean absolute deviation can be calculated as −

(Actual attendance – forecast attendance)	error
(13−10)	3
(10−10)	0
(12−10)	2
(12−10)	2
(8−10)	-2
(11−10)	1
(9−10)	-1
(9−10)	-1
(4−10)	-6
(7−10)	-3
Summation	17

Mean absolute deviation=errortotal number

=1710=1.7

The following formula will be used to calculate the mean absolute error for each component −

Mean absolute error=erroractual value×100

Therefore,

Actual attendance	error	erroractual value×100
13	3	313×100=23.07%
10	0	010×100=0%
12	2	212×100=16.66%
12	2	212×100=16.66%
8	-2	−28×100=−8.33
11	1	111×100=9.09%
9	-1	−19×100=−11.11%
9	-1	−19×100=−11.11%
4	-6	−64×100=−150%
7	-3	−37×100=−42.85%
	Summation	216.8810=21.88%

Answer 7

Chapter 4, Problem 1.1Q

Summary Introduction

Interpretation: The mean error of the HR department’s forecast is to be determined along with mean absolute deviation and mean absolute percent error.

Concept Introduction: The following formula will be used:

Mean absolute deviation=errortotal number

mean=Total of actual attendance Total session

Mean absolute error=erroractual value×100

Answer 8

Expert Solution & Answer

Answer to Problem 1.1Q

Mean error = 0.81530

Mean absolute deviation = 1.7

Mean absolute percent error = 21.88%

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

The following formula will be used to calculate the mean for HR department’s forecast −

=Total of actual attendance Total session

Actual attendance = 95

Total session = 10

Therefore,

=95 10=9.5

The difference between actual attendance and mean attendance results the deviation from actual value.

(Actual attendance – mean attendance)2
(13−9.5)2	12.25
(10−9.5)2	0.25
(12−9.5)2	6.25
(12−9.5)2	6.25
(8−9.5)2	2.25
(11−9.5)2	2.25
(9−9.5)2	0.25
(9−9.5)2	0.25
(4−9.5)2	30.25
(7−9.5)2	6.25
Summation	66.5

The standard deviation can be calculated as −

S.D.=66.510=2.578

The following method will be used to calculate the standard error −

S.E.=S.D.10=2.5783.162=0.81530

Mean absolute deviation can be calculated as −

(Actual attendance – forecast attendance)	error
(13−10)	3
(10−10)	0
(12−10)	2
(12−10)	2
(8−10)	-2
(11−10)	1
(9−10)	-1
(9−10)	-1
(4−10)	-6
(7−10)	-3
Summation	17

Mean absolute deviation=errortotal number

=1710=1.7

The following formula will be used to calculate the mean absolute error for each component −

Mean absolute error=erroractual value×100

Therefore,

Actual attendance	error	erroractual value×100
13	3	313×100=23.07%
10	0	010×100=0%
12	2	212×100=16.66%
12	2	212×100=16.66%
8	-2	−28×100=−8.33
11	1	111×100=9.09%
9	-1	−19×100=−11.11%
9	-1	−19×100=−11.11%
4	-6	−64×100=−150%
7	-3	−37×100=−42.85%
	Summation	216.8810=21.88%

Answer 12

Ch. 4 - Prob. 1DQ Ch. 4 - Prob. 2DQ Ch. 4 - Prob. 3DQ Ch. 4 - Prob. 4DQ Ch. 4 - Prob. 1P Ch. 4 - Prob. 2P Ch. 4 - Prob. 3P Ch. 4 - Prob. 4P Ch. 4 - Prob. 5P Ch. 4 - Prob. 6P

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