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Owner: isysjalynn
Created: Feb 10, 2016
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Movie Theater Survey
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Movie Theater Survey


Ever wonder how many people still go to the movie theaters after rising ticket prices or convenience of Netflix at home? This movie survey was created to see how many people still go to the Movie Theater, how much they spend, preferences regarding movie categories and whether they prefer 2-D or 3-D movies. This survey was created by a group of 6 people who used the social media (primarily Facebook) to obtain a sample from a population above the age of 17, both male and female who all lived in the United States. A total of 139 people responded to this survey. All responses were voluntary (voluntary response sample) and since there was no systemic way we reached out to our population this would be considered a convenience sample not a random. The people in this convenience sample were easy to reach.


The following questions were included in the survey:


1.    How many times a year, on average, do you go to a movie theater to watch a movie?
2.    How much, per person, do you spend in total each time you go to the movie theater?
3.    Do you prefer to see the movie in 2-D or 3-D?
4.    Which movie category is your favorite?
a.    Drama
b.    Action/Thriller
c.    Comedy/Rom Com
d.    Animated/Children/Family
e.    SciFi/Horror
f.    Other


Looking at a Categorical Variable


The pie chart below shows the results for the question, which movie category is your favorite?

 
<results 1>
This pie chart shows that the favorite movie category was Comedy/RomCom with 27.34%. Action/Thriller were the second favorite at 25.18% Both Drama and SciFi/Horror came in as third favorite with 20.86%.


The bar plot will display the difference between all the categories and who prefers 2-D or 3-D.


<results 2>
The bar plot shows that people clearly prefer 2-D movies over 3-D movies. The people that chose “other” only preferred 2-D. The favorite category Comedy/RomCom favored 2-D over three times as much than people that favored Comedy/RomCom in 3-D. Although Comedy/RomCom had the highest frequency in 2-D, Action/Thriller was had the highest frequency in the 3-D. The Drama also had a large difference with a preference in 2-D rather than 3-D.


Looking at a Numerical Value


A Histogram and Boxplot was created in response to the question below along with summary statistics:
How much per person do you spend in total each time you go to the movie theater?


<results 3>


<results 4>

 

 

Summary statistics: 

Column

n

Mean

Variance

Std. dev.

Std. err.

Median

Range

Min

Max

Q1

Q3

N2

139

19.467626

68.873944

8.2990327

0.70391477

20

60

0

60

15

25


<results 5>
The Histogram is skewed to the right. The tallest bar represented $20 that is spent per person at the movies. The majority of people spent $15-$25 at the movies. There is a gap in the histogram between 50 and 60. The mean is 19.467626, median is 20, range is 60 and standard deviation is 8.2990327. The IQR (Q3-Q1) is 10 which compares the upper and lower quartiles or range of the middle half of the data. The median and mean are about the same at 20, on the histogram this represents the peak bar which is 20, the median and mean affect the skew because the bars start a down slope after 20 which causes a skew to the right. The range/4= (60/4=15), 15 is not a good approximation of the standard deviation because there is a large difference between 15 and 8.2990327. The outlier causes the range rule of thumb to be inaccurate overestimating the standard deviation. The midrange (60+0)/2=30 is not a good representation of center for this histogram because the tallest bar is 20 so it overestimates. 45 and 60 are outliers in the data set. I don’t think that these outliers are in error because some people may spend more on drinks and snacks at the theater.


Looking for a Relationship between Two Numerical Variables


<result 6>

The direction of the scatter plot first seems to go in a positive direction but then at about 20 it starts going in negative direction. I would describe this scatter plot to have more of a linear pathway going straight up. In regards to scatter the points stay close to a defined path.


Simple linear regression results: 
Dependent Variable: N2
Independent Variable: N1 
N2 = 18.648697 + 0.17539466 N1
Sample size: 139
R (correlation coefficient) = 0.14671873
R-sq = 0.021526385
Estimate of error standard deviation: 8.2391289

Parameter estimates: 

Parameter

Estimate

Std. Err.

Alternative

DF

T-Stat

P-value

Intercept

18.648697

0.84313635

≠ 0

137

22.118246

<0.0001

Slope

0.17539466

0.10102878

≠ 0

137

1.7360861

0.0848


Analysis of variance table for regression model: 

Source

DF

SS

MS

F-stat

P-value

Model

1

204.59977

204.59977

3.0139951

0.0848

Error

137

9300.0045

67.883245

   

Total

138

9504.6043

 



 

<results 7>

 

Statistically the above information shows that there is no significant correlation between the two variables N1 (# of times per year a person goes to a movie theater) and N2 (how much $ is spent per person). The absolute value of r had to be greater than 0.167. The correlation coefficient was 0.14671873. 

Result 1: Pie Chart With Data   [Info]
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Result 2: Bar Plot showing movie categories and preference between 2d or 3d   [Info]
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Result 3: Histogram of how much money per person is spent at movies   [Info]
Right click to copy

Result 4: Boxplot of how much money spent per person in theaters   [Info]
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Result 5: Summary Stats for N2 (how much money spent per person at theaters)   [Info]
Summary statistics:
ColumnnMeanVarianceStd. dev.Std. err.MedianRangeMinMaxQ1Q3
N213919.46762668.8739448.29903270.7039147720600601525

Result 6: Scatter Plot of N1 vs N2   [Info]
Right click to copy

Result 7: Correlation coefficient for N1 & N2   [Info]
Simple linear regression results:
Dependent Variable: N2
Independent Variable: N1
N2 = 18.648697 + 0.17539466 N1
Sample size: 139
R (correlation coefficient) = 0.14671873
R-sq = 0.021526385
Estimate of error standard deviation: 8.2391289

Parameter estimates:
ParameterEstimateStd. Err.AlternativeDFT-StatP-value
Intercept18.6486970.84313635 ≠ 013722.118246<0.0001
Slope0.175394660.10102878 ≠ 01371.73608610.0848

Analysis of variance table for regression model:
SourceDFSSMSF-statP-value
Model1204.59977204.599773.01399510.0848
Error1379300.004567.883245
Total1389504.6043

HTML link:
<A href="https://www.statcrunch.com/5.0/viewreport.php?reportid=56480">Movie Theater Survey </A>

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