Derek_Rampal_movieregression

Derek_Rampal_movieregression - Discussion Scatterplot of...

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Discussion 100 90 80 70 60 50 40 30 20 50 40 30 20 10 rating percent Action Comedy Drama Horror Kids genre Scatterplot of percent vs rating Figure 1 Percent (Opening/Gross) vs Rating 100 90 80 70 60 50 40 30 20 160 140 120 100 80 60 40 20 0 rating opening Action Comedy Drama Horror Kids genre Scatterplot of opening vs rating Figure 2 Opening vs Rating 100 90 80 70 60 50 40 30 20 600 500 400 300 200 100 rating gross Action Comedy Drama Horror Kids genre Scatterplot of gross vs rating Figure 3 Gross vs Rating 100 90 80 70 60 50 40 30 20 40000 30000 20000 10000 0 rating Open$/ theater Action Comedy Drama Horror Kids genre Scatterplot of Open$/ theater vs rating Figure 4 Opening$/#theaters (same legend as others Illustrated above (all having the same legend) are scatterplots showing the data sets before any regressions are applied. Some positive trends seem to exist for gross, opening, and opening per theater. Table 1. Summary Statistics of Variables and Factors opening percent theaters Open..theate r rating genre gross Min.:9.30 Min.:11.30 Min.:2648 Min.:2929 Min.:26.00 Action:56 Min.:74.84 1stQu.:27.5 0 1stQu.:24.5 0 1stQu.:312 1 1stQu.:8657 1stQu.:46.0 0 Comedy:4 3 1stQu.:89.45 Median:38.0 0 Median:28.8 0 Median:345 8 Median:1090 6 Median:56.0 0 Drama:8 Median:125.7 0 Mean:44.87 Mean:29.72 Mean:3468 Mean:12559 Mean:56.68 Horror:5 Mean:153.56 3rdQu.:52.5 3rdQu.:35.3 3rdQu.:377 3rdQu.:1467 3rdQu.:68.0 Kids:49 3rdQu.:190.1
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0 0 6 5 0 6 Max.:158.40 Max.:50.00 Max.:4366 Max.:36280 Max.:96.00 Max.:533.33 The previous table portrays some basic summary statistics for data familiarity purposes. Variable opening represents opening weekend dollars in millions, percent is opening dollars/gross dollars, theaters is assumed total number of theaters (opening weekend), rating is the Metacritic movie score for each movie, genre is the movie genre including disjoint action, comedy, drama, horror, and kids, and lastly gross is a series of datapoints representing gross dollars in millions for each movie respectively. As depicted by the summary statistics some of the genres, drama and horror, are insufficient in that they do not have enough datapoints in their respective sample spaces to draw any conclusive analysis and for this reason will not be analyzed. It is worth noting that the particular response variables of interest contain joint distributions of fundamental quantities such as Opening$/theater. It might be of more interest to analyze these two variables separately. The same situation exists with response variable percent. Furthermore, as shown through the correlation matrix below in Fig 5, it is clear that Opening Dollars/Theater and Opening Weekend are virtually indistinguishable (correlation = . 982033 => (R^2->1)>>.9). Table 2. Correlation Matrix opening percent theaters Open..theat er rating gross opening 1 0.30817 4 0.65722 1 0.982033 0.30326 4 0.88368 2 percent 0.30817 4 1 0.16890 7 0.330256 - 0.17571 -0.1186 theaters 0.65722 1 0.16890 7 1 0.530566 0.22070 5 0.61512 8 Open..theat er 0.98203 3 0.33025 6 0.53056 6 1 0.29242 0.86096 1 rating 0.30326 4 - 0.17571 0.22070 5 0.29242 1 0.39321 gross 0.88368 2 -0.1186 0.61512 8 0.860961 0.39321 1 There is also a very high correlation between gross and opening as seen in the matrix indicating the likelihood that these variables are closely related which would of course validate the reason why opening weekend cash inflows are always analyzed, recorded, and newsworthy. Due to
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the high correlations, one of these variables will be removed from the analysis.
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