Graphical Data
Summaries B
Stat 201
Prof. Yanni Papadakis
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Statistical Analysis of Theme Park Ride Usage: Scatter Diagrams and Crosstabulation, Papers of Business Statistics
Statistical analysis of theme park ride usage data using scatter diagrams and crosstabulation. The data includes ride usage per day for various rides, manager assignments, and weather conditions. The scatter diagrams help identify the relationship between numerical variables, while crosstabulation reveals the relationship between numerical and qualitative variables. The document also includes a crosstabulation of hospital survival rates.
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Graphical Data
Summaries B
Stat 201
Prof. Yanni Papadakis
MORE THAN ONE NUMERICAL
VARIABLE - RELATIONSHIPS
Theme Park
Dataset
Ride Use
Per Day
First Few
Data Rows
Scream Ride
Hellsbells Ride
Simuride
Manager A=0/Manager B=1No Rain = 1 3800 658 1483 0 0 3351 660 1178 0 0 (^3577 648 1394 0 ) 3638 725 1138 0 0 (^3666 592 1178 0 ) 3799 640 1089 0 0 (^3497 552 1357 0 ) (^3755 736 1158 0 ) 3601 604 1452 0 0 3775 688 1485 0 0 (^3642 546 1091 0 ) (^3641 722 1259 0 )
Scatter Diagram Shows
ß Sign of Relationship (positive, negative)
ß Strength of Relationship
ß Functional Shape (line, curve)
ß Dispersion of points around pattern (e.g.,
are points close to trend in some regions and far in others?)
ß Outliers – Out of Pattern Observations
Scatter Diagram with Trend Line
400
500
600
700
800
900
1000
1100
1200
3000 4000 5000 6000
Scream Ride
Hellsbells Ride
Multiple Scatter Diagram
3000.0 4000.0 5000.0 6000.0 7000. Scream Ride
Simuride
SimRain SimNoRain
Multiple Scatter Diagram
3000.0 4000.0 5000.0 6000.0 7000. Scream Ride
Simuride
(^) SimRain
SimNoRain Linear (SimNoRain) Linear (SimRain)
Relationship Between
Numerical and Qualitative Variable
Crosstabulation
A Healthy Poor Condition
A Healthy Good Condition
B Healthy Poor Condition
A Healthy Good Condition
A Healthy Good Condition
B Healthy Good Condition
A Healthy Poor Condition
A Healthy Poor Condition
B Deceased Good Condition
B Healthy Good Condition
A Healthy Poor Condition
Hospital Outcome Prior State
RAW DATA
Hospital Survival Rate
Crosstabulation of Percentages
72% 28% 100%
Healthy 70% 27% 97%
2% 1% 3% Deceased
Hospital A Hospital B
Joint and Marginal Distributions
Which hospital is best?
Conditional Distribution
100% 100%
Healthy 97% 98%
3% 2% Deceased
Hospital A Hospital B