Research on Hollywood movies of 2012

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    Genre Title Budget ($)in Millions

    Action Ghost Rider: Spirit of Vengeance 57

    Action The Cold Light of Day 20

    Action Stolen 35

    Action Resident Evil: Retribution 65

    Action Red Dawn 65

    Action The Man with the Iron Fists 20Action Wrath of the Titans 150

    Action Hit and Run 2

    Action Haywire 23

    Action Battleship 209

    Action Lockout 20

    Action This Means War 65

    Action Snow White and the Huntsman 170

    Action Act of Valor 12

    Action Contraband 25

    Action Taken 2 45

    Action Safe 33

    Action Premium Rush 35

    Action The Bourne Legacy 125

    Action John Carter 250

    Action Safe House 85

    Action The Expendables 2 100

    Action Get the Gringo 20

    Action The Amazing Spider-Man 230

    Action Jack Reacher* 60

    Action The Hunger Games 78

    Action Dredd 45Action The Raid: Redemption 1.1

    Action End of Watch 7

    Action Looper 30

    Action Skyfall 200

    Action The Avengers 220

    Action The Dark Knight Rises 250

    Action Django Unchained* 83

    Comedy Madea's Witness Protection 20

    Comedy Fun Size 14

    Comedy The Three Stooges 30

    Comedy One For The Money 40Comedy That's My Boy 70

    Comedy Mirror Mirror 85

    Comedy Parental Guidance 6.5

    Comedy Wanderlust 35

    Comedy A Thousand Words 40

    Comedy For a Good Time, Call... 5.7

    Comedy Damsels in Distress 3

    Comedy Think Like a Man 12

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    Comedy Diary of a Wimpy Kid: Dog Days 22

    Comedy Iron Sky 7

    Comedy Friends with Kids 10

    Comedy Magic Mike 7

    Comedy The Campaign 56

    Comedy The Five-Year Engagement 30

    Comedy Dark Shadows 150Comedy To Rome with Love 24.8

    Comedy This Is 40* 35

    Comedy The Dictator 65

    Comedy Celeste and Jesse Forever 8

    Comedy Jeff, Who Lives at Home 10

    Comedy Project X 12

    Comedy Your Sister's Sister 0.125

    Comedy Seeking a Friend for the End of the World 10

    Comedy American Reunion 50

    Comedy Men in Black 3 215

    Comedy Safety Not Guaranteed 0.75

    Comedy The Best Exotic Marigold Hotel 10

    Comedy 21 Jump Street 42

    Comedy Ted 65

    Comedy Seven Psychopaths 15

    Comedy Moonrise Kingdom 16

    Drama Good Deeds 14

    Drama Darling Companion 12

    Drama Won't Back Down 19

    Drama Cosmopolis 20

    Drama W.E. 29Drama Big Miracle 30

    Drama Deadfall 12

    Drama The Odd Life of Timothy Green 25

    Drama Compliance 10

    Drama Arbitrage 13

    Drama The Words 6

    Drama Salmon Fishing in the Yemen 14.5

    Drama Smashed 5

    Drama People Like Us 16

    Drama Anna Karenina 50

    Drama Hitchcock* 15Drama Beasts of the Southern Wild 1.8

    Drama We Need to Talk About Kevin 7

    Drama Flight 31

    Drama The Impossible 45

    Drama The Master 35

    Drama Silver Linings Playbook 21

    Drama Argo 44.5

    Drama The Perks of Being a Wallflower 13

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    Drama Lincoln 60

    Drama Life of Pi 120

    Sci-Fi Total Recall 125

    Sci-Fi Chronicle 15

    Sci-Fi Prometheus 130

    Sci-Fi Cloud Atlas 102

    Q1(i) Is it a good idea to make a bigger budget movie for profit?

    Ans Not necessarily, the correlation, hypothesis test and regression model i

    (ii) Why does the length of the movie affect the budget?

    Ans The length of the movie affect the budget,because eg Sci-Fi and Actio

    (iii) What is the correlation between viewer rating and gross collection?

    Ans

    Q2)(a) Ans

    (b)

    (c) Means 51.49267677

    Variance 3653.788039

    Mode 20

    Standard Deviation 60.44657177

    Q3) Correlation and Equality of Means

    Budget ($)in Millions

    Budget ($)in Millions 1

    First week collection($) in Mi 0.669285261

    Gross ($) in Millions 0.790045357

    Length in minutes 0.566813015

    Viewer Rating 0.233063936

    *Movies released in recent week.

    According to the data of movies released during the year of 2012 shows tha

    Sources-www.Imdb.com,www.wikipedia.com,www.boxofficemojo.com

    Unit of measurement -Gross collection,Weekend collection and Gross coll

    length is measured in Minutes and Viewer rating are counted out of 10.

    From the above table we can see that the movies released during the yea

    gross collection of the movies.we can see from the correlation matrix abo

    weekend collection while considering it's impact on gross collection i.e .(

    H0: the first week collection has no impact on gross collection for all the

    Mathematically H0 : first weekend collection - gross collection

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    First weekend collection($) i

    Mean 19.86907785

    Variance 1048.60121

    Observations 99

    Hypothesized Mean Difference 0

    df 101

    t Stat -5.000790229

    P(T

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    1 158.9120577

    2 8.951893652

    3 4.610591653

    4 151.432694

    5 103.7640489

    6 58.9790028

    7 238.7063328 44.83099051

    9 62.59793289

    10 182.9694828

    11 47.1655835

    12 125.7796021

    13 398.835226

    14 175.5246909

    15 174.6324849

    16 351.6775466

    17 58.84926332

    18 47.64514327

    19 271.6715777

    20 215.6513855

    21 285.9526642

    22 204.4734442

    23 5.643040981

    24 439.5488966

    25 113.0741949

    26 1076.46947

    27 47.49381924

    28 4.82629646229 95.85638517

    30 149.6690996

    31 625.0017462

    32 1462.732768

    33 1135.225799

    34 219.2240369

    35 181.954629

    36 32.17445809

    37 122.9949628

    38 84.3402178

    39 97.9742532240 130.8883798

    41 107.4458894

    42 49.23971258

    43 46.77472582

    44 4.334875036

    45 3.734433333

    46 239.9664744

    47 106.204841

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    95 161.2772124

    96 183.2715329

    97 158.12947

    98 362.4791936

    99 70.94806584

    CONCLUSION

    -500

    0

    500

    0.00 50.00 100.00 150.00 200.00 250.00Residuals

    First weekend collection($) in Mi

    First weekend collection($) in

    Mi Residual Plot

    As per the analysis of data abovefor movies released during the year 201

    collections. In action movies viewer rating and length were depended on

    accurate of viewer rating and length are correlated . Comedy movies data

    explained by regression test, it slated that variance of 70.1% of populatio

    collection thus regression model is very accurate and hence supporting o

    weekend collection and the variance of 73.4% of population of gross coll

    very accurate and hence supporting our test. in our data the Sci-Fi movies

    genre. In Sci-Fi movies budget and length were co related as budget were

    Budget can be explained by variance of length of the movie thus regressi

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    First weekend collection($) in Mi Gross ($) in Millions Length in minutes Viewer Rating

    22.12 132.5 95 4.4

    0.80 16.8 93 4.8

    0.18 2.5 96 5.3

    21.05 221.6 95 5.3

    14.28 39 114 5.5

    7.9118.4 96 5.8

    33.46 301.9 99 5.8

    5.90 14.4 100 5.9

    8.43 33.3 93 5.9

    25.53 302 131 6

    6.23 28 95 6.1

    17.41 156.3 97 6.3

    56.22 396.3 127 6.3

    24.48 80.4 110 6.4

    24.35 96.2 110 6.4

    49.51 365 91 6.4

    7.89 40.3 95 6.5

    6.30 30.6 91 6.6

    38.14 276 135 6.7

    30.18 282.7 132 6.7

    40.17 207.8 115 6.8

    28.59 312.5 103 7

    0.33 7.5 96 7.1

    62.00 752 136 7.2

    15.60 110 130 7.3

    152.54 686.6 142 7.3

    6.2836.2 95 7.4

    0.21 4.1 101 7.6

    13.15 40 109 7.7

    20.80 166 118 7.8

    88.36 978 143 8

    207.44 1550.1 143 8.4

    160.89 1081 165 8.7

    30.69 150 165 8.8

    25.39 65.6 114 3.9

    4.10 9.2 90 5

    17.01 53 92 5.1

    11.52 36.8 91 5.113.45 57.7 114 5.5

    18.13 162.8 106 5.5

    14.80 29.3 105 5.6

    6.53 21.4 98 5.6

    6.18 20.5 91 5.6

    0.14 1.2 85 5.7

    0.06 1.3 99 6

    33.64 99.19 123 6

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    0.94 122.2 150 8.3

    22.45 240 127 8.3

    25.58 198 118 6.3

    22.00 126 83 7.1

    51.05 402.52 124 7.2

    9.61 65.6 171 8.1

    dicate that the budget of the movie is depended on the weekend, gross and viewer rating.

    movies require's special effect which creates an excitement for viewer.

    19.86907785 143.1087879 109.6161616 6.586868687

    1048.60121 59076.97557 383.1981035 1.045029891

    11.579175 28 95 6.3

    32.3821125 243.0575561 19.57544644 1.022267035

    First weekend collection($) in Mi Gross ($) in Millions Length in minutes Viewer Rating

    1

    0.937311029 1

    0.468210392 0.473707897 1

    0.277329405 0.344214701 0.440210241 1

    t there is no correlation between viewer rating and gross collection.

    ction are measured in $ Millions.

    r 2012, the weekend collection has a big impact on the

    ve that the co-efficeient of correlation is highest for

    0.937311029) the higher the weekend collection the

    ovies released during the year 2012.

    0

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    Gross ($) in Millions

    143.1087879

    59076.97557

    99

    SS MS F Significance F 5086414.911 5086414.911 701.6955077 3.37199E-46

    703128.6946 7248.749429

    5789543.605

    Standard Error t Stat P-value Lower 95% Upper 95%

    10.05320477 0.3304655 0.741760972 -16.63059126 23.27507

    0.265590984 26.48953582 3.37199E-46 6.508257309 7.562506

    Residuals

    ly proportional to the weekend collection.

    0

    we will use two tail test by using t-statistic using t test

    ence as zero.

    0 and conclude that H1 is true which states that Gross

    nal to the weekend collection.

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    -26.41205774

    7.848106348

    -2.110591653

    70.167306

    -64.76404889

    -40.5790028

    63.19366799-30.43099051

    -29.29793289

    119.0305172

    -19.1655835

    30.5203979

    -2.535226016

    -95.12469093

    -78.4324849

    13.32245337

    -18.54926332

    -17.04514327

    4.328422285

    67.04861446

    -78.15266424

    108.0265558

    1.856959019

    312.4511034

    -3.074194882

    -389.8694699

    -11.29381924

    -0.726296462-55.85638517

    16.33090036

    352.9982538

    87.36723239

    -54.22579948

    -69.22403689

    -116.354629

    -22.97445809

    -69.99496277

    -47.5402178

    -40.2742532231.91162016

    -78.14588937

    -27.83971258

    -26.27472582

    -3.134875036

    -2.434433333

    -140.7764744

    -29.70484097

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    4.4667012

    -5.515881111

    -113.5968207

    -87.3822074

    -24.26806136

    26.53052345

    67.13546409-64.08615548

    51.51523209

    21.91945402

    -4.842476948

    -50.42661543

    -83.68615548

    -20.61711635

    80.01799377

    236.5967138

    -0.010030348

    125.4923274

    -57.14497649

    115.5460147

    -17.59435874

    57.99828607

    -77.96109408

    4.296614725

    -16.4379395

    2.68290093

    -2.763420911

    -33.91824309-3.008660434

    -27.86549314

    27.56219244

    5.591767268

    -25.34659097

    29.5885121

    -0.611791638

    -20.86076327

    21.06158604

    -0.846422245

    6.4838442782.504783722

    -83.00722852

    54.1636099

    10.29753358

    25.56106737

    19.38253492

    23.07116988

    112.2341953

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    78.72278758

    14.72846715

    -32.12946999

    40.04080642

    -5.348065843

    To establish the relation mentioned above we use regression analysis by assuming Gross

    collection as dependent variable and first weekend collection as causal variable hence we

    plot Gross collectiona t Y axis and First weekend collection at X axis. As per the table

    resulted by regression we can see that R square is 87.8 % which indicates that variance of

    87.8% of population of gross collection can be explained by variance of first weekend

    collection thus regression model is very accurate and hence supporting our hypothesis test.

    The significance quotient is only 3.3% which clearly indicates that probablity of regression

    obtained above by chance is only 3.3% and hence this model can be considered accurate

    and significant again supporting our hypothesis.

    Another observation from regression model can be inferred from p values of Y interceot as

    the Pvalue is very low only at 0.74 hence again the probablity of such regression obtained

    by chance is very low .

    The fourth and most importnat inference can be interpreted from the residual effects

    graph not following a specific pattern and hence regression can be considered robust and

    hence the hypothesis that Gross collection is a dependent variable of first weekend

    collection holds true.

    2 indicates that gross collections were dependent on first weekend

    he Gross collection but in Regression test we found out that only 45% are

    displayed they were directly coeffecient with gross collection which is

    of gross collection can be explained by variance of first weekend

    r test. Drama movies were dependent on the budget and has relation with

    ction can be explained by variance of Budget, thus regression model is

    released during the year 2012 have small percentage compare to other

    higher for the sci-fi movies and that variance of only 34%of population of

    on model is not very accurate and hence partially supporting our test.

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    Viewer Rating

    Mean 6.652941176

    Variance 1.100142602

    Observations 34

    Hypothesized Mean Diff 0

    df 33

    t Stat -28.77296391

    P(T

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    32 137.7691921

    33 141.9517807

    34 143.3459769

    -40

    -30

    -20

    -10

    0

    10

    20

    30

    0.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00

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    First weekend collection($) in Mi

    Mean 15.06629285

    Variance 228.0955534

    Observations 34

    Hypothesized Mean Differe 0

    df 34

    t Stat -3.498155532

    P(T

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    Upper 95.0%

    20.1877011

    9.464040298

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    Budget ($)in Millions

    Mean 25.72307692

    Variance 591.2858462

    Observations 26

    Hypothesized Mean Diff 0

    df 34

    t Stat -1.225549156

    P(T

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    Coefficients

    Intercept -10.49446037

    Budget ($)in Millions 1.979868376

    RESIDUAL OUTPUT

    Observation Predicted Gross ($) in Millions

    1 17.22369689

    2 13.263960143 27.12303877

    4 29.10290714

    5 46.92172252

    6 48.9015909

    7 13.26396014

    8 39.00224902

    9 9.304223388

    10 15.24382851

    11 1.384749886

    12 18.21363108

    13 -0.59511849

    14 21.18343364

    15 88.49895841

    16 19.20356527

    17 -6.930697291

    18 3.364618261

    19 50.88145927

    20 78.59961653

    21 58.80093278

    22 31.08277552

    23 77.6096823424 15.24382851

    25 108.2976422

    26 227.0897447

    -100

    -50

    0

    50

    100

    0 20 40 60 80 100 120 140Residua

    ls

    Budget ($)in Millions

    Budget ($)in Millions Residual Plot

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    Gross ($) in Millions Length in minutes Viewer Rating

    35 111 4.3

    7.9 103 4.6

    5.2 121 4.9

    6.5 109 5.3

    0.89 119 5.4

    24 107 6.30.45 95 6.4

    51.6 104 6.5

    31 90 6.7

    23 100 6.7

    11.4 96 6.8

    34.5 107 6.8

    2.9 81 7

    12.4 114 7.1

    26.64 130 7.1

    4.5 98 7.3

    11 93 7.5

    6 112 7.5

    95.5 139 7.5

    60.3 113 7.7

    18.8 143 7.8

    32 122 8.2

    159.6 120 8.2

    28 102 8.3

    122.2 150 8.3

    240 127 8.3

    weekend collection($) i Gross ($) in Millions ength in minute Viewer Rating

    1

    0.726299275 1

    0.328596164 0.479212016 1

    0.110079505 0.485727023 0.279065717 1

    budget of the movie as the coefficient of

    ed during the year 2012 is independent of

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    Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0%

    8.518614798 -1.231944467 0.229903996 -28.0760172 7.087096462 -28.0760172

    0.242872002 8.151900416 2.25863E-08 1.4786052 2.481131551 1.4786052

    Residuals

    17.77630311

    -5.363960139-21.92303877

    -22.60290714

    -46.03172252

    -24.9015909

    -12.81396014

    12.59775098

    21.69577661

    7.756171485

    10.01525011

    16.28636892

    3.49511849

    -8.783433641

    -61.85895841

    -14.70356527

    17.93069729

    2.635381739

    44.61854073

    -18.29961653

    -40.00093278

    0.917224481

    81.9903176612.75617149

    13.90235784

    12.9102553

    To establish the relation mentioned above we use regression analysis by assuming Gross

    collection as dependent variable and Budget as causal variable hence we plot Gross

    collectiona t Y axis and Budget at X axis. As per the table resulted by regression we can see

    that R square is 73.4 % which indicates that variance of 73.4% of population of gross

    collection can be explained by variance of Budget, thus regression model is very accurateand hence supporting our hypothesis test.

    The significance quotient is only 2.26% which clearly indicates that probablity of regression

    obtained above by chance is only 2.26% and hence this model can be considered accurate

    and significant again supporting our hypothesis.

    Another observation from regression model can be inferred from p values of Y interceot as

    the Pvalue is very low only at 0.23 hence again the probablity of such regression obtained

    by chance is very low .

    The fourth and most importnat inference can be interpreted from the residual effects

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    Upper 95.0%

    7.087096462

    2.481131551

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    Drama

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    Title Budget ($)in Millions st weekend collection($) in

    Total Recall 125 25.577758

    Chronicle 15 22.004098

    Prometheus 130 51.050101

    Cloud Atlas 102 9.612247

    Correlation and Equality of Means

    Budget ($)in Millions

    Budget ($)in Millions 1

    First week collection($) i 0.386608264

    Gross ($) in Millions 0.510235419

    Length in minutes 0.591570074

    Viewer Rating -0.109305766

    Budget ($)in Millions

    Mean 93

    Variance 2852.666667

    Observations 4

    Hypothesized Mean Differe 0

    df 5

    t Stat -0.961115181

    P(T

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    Regression Model

    SUMMARY OUTPUT

    Regression Statistics

    Multiple R 0.591570074

    R Square 0.349955153

    Adjusted R Square 0.02493273

    Standard Error 52.74032518

    Observations 4

    ANOVA

    df

    Regression 1

    Residual 2

    Total 3

    Coefficients

    Intercept -15.30259806

    Length in minutes 0.873408049

    RESIDUAL OUTPUT

    Observation redicted Budget ($)in Million

    1 87.75955171

    2 57.19026999

    3 93

    4 134.0501783

    -

    proportional of the length of the movie

    -50

    0

    50

    0 20 40 60 80 100 120 140 160Residuals

    Length in minutes

    Length in minutes Residual Plot

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    Gross ($) in Millions Length in minutes Viewer Rating

    198 118 6.3

    126 83 7.1

    402.52 124 7.2

    65.6 171 8.1

    rst weekend collection($) in Gross ($) in Millions ength in minute Viewer Rating

    1

    0.990390527 1

    -0.319880107 -0.205474061 1

    -0.360688156 -0.34543705 0.648028511 1

    Length in minutes

    124

    1308.666667

    4

    orrelated. Public always want Sci-Fi movies length to be longer compare to other

    e sci-fi movies which creates an excitement for the public. Sci-fi movies are madefects leads to high budget.

    year 2012 is independent of the length of the movie.

    year 2012 directly proportional of the length of the movie.

    st , to establish same we will use two tail test by using t-statistic using t test ofesized mean difference as zero.

    l hence we can reject H0 and conclude that H1

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    SS MS F Significance F

    2994.9162 2994.9162 1.076710798 0.408429926

    5563.0838 2781.5419

    8558

    Standard Error t Stat P-value Lower 95% Upper 95%

    107.6529958 -0.142147443 0.899990505 -478.4960544 447.8908582

    0.841720018 1.03764676 0.408429926 -2.748220882 4.49503698

    Residuals

    37.24044829

    -42.19026999

    37

    -32.0501783

    180

    To establish the relation mentioned above we use regression analysis by assuming

    as dependent variable and length of the movie as causal variable hence we plot Bu

    Y axis and length of the movie at X axis. As per the table resulted by regression we

    that R square is only 34% which indicates that variance of only 34%of population

    Budget can be explained by variance of length of the movie thus regression model

    very accurate and hence partially supporting our hypothesis test.The significance quotient is only 0.4% which clearly indicates that probablity of reg

    obtained above by chance is only 0.4% and hence this model can be considered p

    significant again supporting our hypothesis.

    Another observation from regression model can be inferred from p values of Y inte

    as the P value is very low only at 0.89hence again the probablity of such regression

    obtained by chance is very low .

    The fourth and most importnat inference can be interpreted from the residual eff

    graph not following a specific pattern and hence regression can be considered robu

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    ence e ypo es s a v ewer co ec on s a epen en var a e o eng o

    partially holds true.

    ***less number of dataset population has resulted in differen results and hence a

    interpretation drawn form such a small pool of data is absurd****

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    Lower 95.0% Upper 95.0%

    -478.4960544 447.8908582

    -2.748220882 4.49503698

    Budget

    dget at

    an see

    f

    is not

    ression

    rtially

    rceot

    ects

    st and

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    mov e

    ny

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    Sci-Fi