mriff76:
Managerial Report Use the numerical methods of descriptive statistics presented in this chapter to learn how these variables contribute to the success of a motion picture. Include the following in your report.
1. Descriptive statistics for each of the four variables along with a discussion of what the descriptive statistics tell us about the motion picture industry.
2. What motion picture, if any, should be considered high performance outliers?
3. Descriptive statistics showing the relationship between total gross sales and each of the other variables. Discuss.
Motion Picture/Opening Gross/Total Gross/Number of Theaters/Weeks in Top 60
Coach Carter 29.17
Ladies in Lavender 0.15
Batman Begins 48.75
67.25
6.65
205.28
2,574
119
3,858
16
22
18
Unleashed 10.90
Pretty Persuasion 0.06
Fever Pitch
Harry Potter and the Goblet of Fire 102.69
Monster-in-Law 23.11
White Noise 24.11
Mr. and Mrs. Smith 50.34
Be Cool
Modigliani
Flightplan
12.40
23.45
0.03
24.63
24.47
0.23
42.01
287.18
82.89
55.85
186.22
55.81
0.13
89.69
1,962
24
3,275
3,858
3,424
2,279
3,451
3,216
9
3,424
8
4
14
13
16
7
21
8
4
21
Steamboy
Lost Embrace
House of Wax
Uncle Nino
Separate Lies
Thumbsucker
Sons of Provo
Kung Fu Hustle
Balzac and the Little
0.14
0.02
0.27
Howl's Moving Castle 0.43
War of the Worlds 77.06
Chinese Seamstress 0.02
Lords of Dogtown 5.62
The Baxter 0.04
The Amityville Horror 23.51
12.08
0.17
0.07
0.09
0.03
Kingdom of Heaven 19.64
Mrs. Henderson
Presents
Casanova
The World's Fastest In
0.06
0.23 dian 0.40
0.36
0.05
17.08
4.61
234.21
0.42
11.01
0.04
64.26
32.05
0.17
0.85
1.23
0.03
47.31
4.36
11.24
0.87
46
5
2,503
202
3,910
22
1,865
47
3,323
3,111
189
127
330
7
3,219
260
1,011
121
3
1
16
11
19
6
4
1
6
12
1
6
6
1
12
10
8
2

Alone in the Dark 2.83
Get Rich or Die Tryin' 12.02
Cheaper by the Dozen 2 15.34
Red Eye 16.17
Mughal-e-Azam
Head On
The Thing
About My Folks
0.06
0.02
Lucky
Broken Flowers
Paradise Now
0.24
0.15
0.78
0.05
Dil Jo Bhi Kahe
Look at Me
D.E.B.S.
0.09
0.07
0.06
Ek Khiladi Ek Hasina
Viruddh
Sin City
Bee Season
A Lot Like Love
First Descent
George A. Romero's
0.08
0.11
29.12
0.12
7.58
0.44
Land of the Dead 10.22
Ong Bak: The Thai Warrior 1.34
Me and You and
Everyone We Know 0.03
Caterina in the Big City 0.01
Shaadi No. 1 0.14
The Wild Parrots of
Telegraph Hill
Mindhunters
Sahara
Racing Stripes
Mad Hot Ballroom
0.04
1.91
18.07
18.86
0.05
The Exorcism of
Emily Rose
Nina's Tragedies
Home Delivery
Into the Blue
Ek Ajnabee
The Edukators
Magnificent Desolation
Memoirs of a Geisha
Cronicas
Bride and Prejudice
Happily Ever After
State Property
30.05
0.04
0.05
7.06
0.12
0.03
0.50
0.68
0.04
0.39
0.03
2 0.76
5.13
30.97
80.83
57.86
0.11
0.11
0.78
0.15
13.65
1.26
0.13
1.66
0.06
0.08
0.29
74.00
1.14
21.84
0.74
20.43
4.51
3.69
0.16
0.34
2.81
4.45
68.64
49.19
7.90
75.07
0.20
0.05
18.47
0.21
0.07
7.31
56.07
0.14
6.57
0.12
1.68
4
1
12
16
2
13
1
1
3
16
7
10
3
3
11
8
8
2
3
6
8
13
5
3
9
2
1
5
3
1
19
10
3
13
1
3
27
5
17
17
19
2,124
1,666
3,211
3,134
32
5
145
44
433
65
33
75
45
15
37
3,230
277
2,502
243
2,253
387
160
7
45
66
1,040
3,200
3,185
202
3,045
15
15
2,789
38
32
82
1,654
13
288
8
202

Star Wars: Episode III
Indigo
Imaginary Heroes
Cinderella Man
The Upside of Anger
The Skeleton Key
The Cave
The Family Stone
Jiminy Glick in La La Wood
High Tension
Yours, Mine and Ours
Wedding Crashers
Wallace and Gromit:
Were-Rabbit
Three... Extremes
Nobody Knows
Capote
A History of Violence
16.03
0.04
0.03
0.33
0.52
Palindromes
The Devil's Rejects
0.06
7.07
The Greatest Game Ever Played 3.66
Proof
Walk the Line
Where the Truth Lies
Wolf Creek
0.19
22.35
0.14
4.91
0.09
0.16
My Summer of Love
The Producers
Happy Endings
Last Days
0.24
0.09
108.44
1.19
0.04
18.32
0.21
16.06
6.15
12.52
0.03
1.90
17.46
33.90
3,656
19
23
1,239
1,348
46
1,757
1,810
517
3,160
92
1,761
63
978
74
31
3,663
603
19
2,820
1,166
2,784
2,195
2,469
24
1,323
3,210
3,131
56.07
0.04
0.49
20.13
31.46
0.51
16.90
15.33
7.53
113.63
0.82
16.04
0.97
19.28
1.25
0.42
380.18
1.19
0.09
61.58
18.74
47.81
14.89
59.70
0.03
3.65
53.30
209.22
7
5
9
10
13
4
7
7
9
6
5
13
1
6
20
19
19
1
1
15
15
11
6
9
1
3
12
23

Answers
(1) Descriptive statistics
Opening
Gross
Mean
Standard Error
Median
Mode
Standard Deviation
Sample Variance
Kurtosis
Skewness
9.3755
1.88746905
0.395
0.03
18.8746905
356.253942
13.8117715
3.43033972
Range
Minimum
Maximum
Sum
108.43
0.01
108.44
937.55
Count 100
Confidence Level(95.0%) 3.74514799
Total Gross
33.0393
6.31647603
5.85
0.13
63.1647603
3989.786944
12.31807378
3.275335373
380.15
0.03
380.18
3303.93
100
12.53325849
Number of
Theaters
1277.94
137.8689444
410
202
1378.689444
1900784.582
-1.348356732
0.563350614
3905
5
3910
127794
100
273.5618894
Weeks in Top 60
8.68
0.638951161
7
1
6.389511608
40.82585859
-0.424911646
0.674929402
26
1
27
868
100
1.267817692
The mean value of opening gross is 9.38 with a standard error of 1.89.
The mean value of total gross is 33.04 with a standard error of 6.32.
The mean value of number of theaters is 1277.94 with a standard error of 137.87
The mean value of number of theaters is 8.68 with a standard error of 0.64
With 95% confidence,
(1) The opening sales lies between 5.63 and 13.12
(2) The gross sales lies between 20.51 and 45.57
(3) The number of theaters lies between 1004.38 and 1551.50
(4) The weeks in top 60 lies between 7.41 and 9.95
The opening sales vary from 0.01 to 108.44. The gross sales vary from 0.03 to 380.18. Number of theaters vary from 5 to 3910. The number of days in top 60 vary from 1 to 27.
(2) Outliers

Considering opening gross sales there are 3 high performance ouliers wih opening gross sales exceeding 3 standard deviations from the mean. They are Star wars: Episode III,The Gobblet of fire and the war of the worlds.
Considering total gross sales, we get the same set of outliers.
If we consider the number of theaters, there are no high performance outliers.
When number of days in top 60 is considered, Telegraph Hill is an outlier.
(3) Relation ships
SUMMARY OUTPUT
Regression Statistics
Multiple R 0.96938
R Square
Adjusted R
Square
Standard
Error
0.939698
0.937813
15.75155
Observations 100
ANOVA
Regression
Residual
Total df SS MS
3
371170.
2
96 23818.7
394988.
99 9
123723.
4
248.111
5
F
Significan ce F
498.660
5 2.18E-58
Intercept
Opening
Gross
Number of
Theaters
Weeks in
Top 60
Coefficien ts
-5.14503
3.064823
-0.00016
1.11265
Standard
Error
2.75843
t Stat
9 -1.8652
0.12086
6
0.00173
5
0.29381
6
25.3571
4
-
0.09369
3.78689
9
P-value
Lower
95%
Upper
95%
0.33042
0.06520
8 -10.6205
2.48E-
7
0.00026
-0.00361
9
44 2.824905 3.30474
0.92554
0.00328
1
6 0.529431 1.69587
Lower
95.0%
-
Upper
95.0%
0.33042
10.6205
2.82490
0.00361
0.52943
9
5 3.30474
0.00328
1
1 1.69587
The relationship of total gross sales and the other variables can be expressed by the regression equation

The number of theaters is not a significant variable. For every 1$ increase in opening gross sales the total gross sales increases by $3.065. For every 1 day increase in number of days in top 60, the increase in total gross sales 1.11 units.
𝑇𝑜𝑡𝑎𝑙 𝑔𝑟𝑜𝑠𝑠 𝑠𝑎𝑙𝑒𝑠 = −5.145 + 3.065(𝑜𝑝𝑒𝑛𝑖𝑛𝑔 𝑔𝑟𝑜𝑠𝑠) +
1.11265(𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑑𝑎𝑦𝑠 𝑖𝑛 𝑡𝑜𝑝 60)