Introduction

The motivation for collecting this database was the explosion of the USA Space Shuttle Challenger on 28 January, 1986. An investigation ensued into the reliability of the shuttle’s propulsion system. The explosion was eventually traced to the failure of one of the three field joints on one of the two solid booster rockets. Each of these six field joints includes two O-rings, designated as primary and secondary, which fail when phenomena called erosion and blowby both occur.

The task is to predict the number of O-rings that will experience thermal distress for a given flight when the launch temperature is below freezing.

In this data we only use blowby results.

data <- read.csv("ORing.csv")
data
##    ï..Number.of.O.rings.at.risk.on.a.given.flight
## 1                                               6
## 2                                               6
## 3                                               6
## 4                                               6
## 5                                               6
## 6                                               6
## 7                                               6
## 8                                               6
## 9                                               6
## 10                                              6
## 11                                              6
## 12                                              6
## 13                                              6
## 14                                              6
## 15                                              6
## 16                                              6
## 17                                              6
## 18                                              6
## 19                                              6
## 20                                              6
## 21                                              6
## 22                                              6
## 23                                              6
##    Number.experiencing.thermal.distress Launch.temperature..degrees.F.
## 1                                     0                             66
## 2                                     1                             70
## 3                                     0                             69
## 4                                     0                             68
## 5                                     0                             67
## 6                                     0                             72
## 7                                     0                             73
## 8                                     0                             70
## 9                                     1                             57
## 10                                    1                             63
## 11                                    1                             70
## 12                                    0                             78
## 13                                    0                             67
## 14                                    2                             53
## 15                                    0                             67
## 16                                    0                             75
## 17                                    0                             70
## 18                                    0                             81
## 19                                    0                             76
## 20                                    0                             79
## 21                                    2                             75
## 22                                    0                             76
## 23                                    1                             58
##    Leak.check.pressure..psi. Temporal.order.of.flight
## 1                         50                        1
## 2                         50                        2
## 3                         50                        3
## 4                         50                        4
## 5                         50                        5
## 6                         50                        6
## 7                        100                        7
## 8                        100                        8
## 9                        200                        9
## 10                       200                       10
## 11                       200                       11
## 12                       200                       12
## 13                       200                       13
## 14                       200                       14
## 15                       200                       15
## 16                       200                       16
## 17                       200                       17
## 18                       200                       18
## 19                       200                       19
## 20                       200                       20
## 21                       200                       21
## 22                       200                       22
## 23                       200                       23

Packages info

There are no packages use in this except the basic ones. These packages are namely base, datasets,stats, methods, utils.

Data preparation

We source this data from UCI archive called ‘Challenger USA Space Shuttle O-Ring Data Set’. From there we cleaned the dataset in excel and saved as csv format.

Data Analysis

str(data) #Structure of the data
## 'data.frame':    23 obs. of  5 variables:
##  $ ï..Number.of.O.rings.at.risk.on.a.given.flight: int  6 6 6 6 6 6 6 6 6 6 ...
##  $ Number.experiencing.thermal.distress          : int  0 1 0 0 0 0 0 0 1 1 ...
##  $ Launch.temperature..degrees.F.                : int  66 70 69 68 67 72 73 70 57 63 ...
##  $ Leak.check.pressure..psi.                     : int  50 50 50 50 50 50 100 100 200 200 ...
##  $ Temporal.order.of.flight                      : int  1 2 3 4 5 6 7 8 9 10 ...
summary(data) #Summary of the data
##  ï..Number.of.O.rings.at.risk.on.a.given.flight
##  Min.   :6                                     
##  1st Qu.:6                                     
##  Median :6                                     
##  Mean   :6                                     
##  3rd Qu.:6                                     
##  Max.   :6                                     
##  Number.experiencing.thermal.distress Launch.temperature..degrees.F.
##  Min.   :0.0000                       Min.   :53.00                 
##  1st Qu.:0.0000                       1st Qu.:67.00                 
##  Median :0.0000                       Median :70.00                 
##  Mean   :0.3913                       Mean   :69.57                 
##  3rd Qu.:1.0000                       3rd Qu.:75.00                 
##  Max.   :2.0000                       Max.   :81.00                 
##  Leak.check.pressure..psi. Temporal.order.of.flight
##  Min.   : 50.0             Min.   : 1.0            
##  1st Qu.: 75.0             1st Qu.: 6.5            
##  Median :200.0             Median :12.0            
##  Mean   :152.2             Mean   :12.0            
##  3rd Qu.:200.0             3rd Qu.:17.5            
##  Max.   :200.0             Max.   :23.0
ls(data) #List of the data
## [1] "ï..Number.of.O.rings.at.risk.on.a.given.flight"
## [2] "Launch.temperature..degrees.F."                
## [3] "Leak.check.pressure..psi."                     
## [4] "Number.experiencing.thermal.distress"          
## [5] "Temporal.order.of.flight"
nrow(data) #Number of row
## [1] 23
ncol(data) #Number of column
## [1] 5
head(data) #First 6 rows
##   ï..Number.of.O.rings.at.risk.on.a.given.flight
## 1                                              6
## 2                                              6
## 3                                              6
## 4                                              6
## 5                                              6
## 6                                              6
##   Number.experiencing.thermal.distress Launch.temperature..degrees.F.
## 1                                    0                             66
## 2                                    1                             70
## 3                                    0                             69
## 4                                    0                             68
## 5                                    0                             67
## 6                                    0                             72
##   Leak.check.pressure..psi. Temporal.order.of.flight
## 1                        50                        1
## 2                        50                        2
## 3                        50                        3
## 4                        50                        4
## 5                        50                        5
## 6                        50                        6
tail(data) #Last 6 rows
##    ï..Number.of.O.rings.at.risk.on.a.given.flight
## 18                                              6
## 19                                              6
## 20                                              6
## 21                                              6
## 22                                              6
## 23                                              6
##    Number.experiencing.thermal.distress Launch.temperature..degrees.F.
## 18                                    0                             81
## 19                                    0                             76
## 20                                    0                             79
## 21                                    2                             75
## 22                                    0                             76
## 23                                    1                             58
##    Leak.check.pressure..psi. Temporal.order.of.flight
## 18                       200                       18
## 19                       200                       19
## 20                       200                       20
## 21                       200                       21
## 22                       200                       22
## 23                       200                       23
N_A <- is.na(data) #Checking for missing values
N_A
##       ï..Number.of.O.rings.at.risk.on.a.given.flight
##  [1,]                                          FALSE
##  [2,]                                          FALSE
##  [3,]                                          FALSE
##  [4,]                                          FALSE
##  [5,]                                          FALSE
##  [6,]                                          FALSE
##  [7,]                                          FALSE
##  [8,]                                          FALSE
##  [9,]                                          FALSE
## [10,]                                          FALSE
## [11,]                                          FALSE
## [12,]                                          FALSE
## [13,]                                          FALSE
## [14,]                                          FALSE
## [15,]                                          FALSE
## [16,]                                          FALSE
## [17,]                                          FALSE
## [18,]                                          FALSE
## [19,]                                          FALSE
## [20,]                                          FALSE
## [21,]                                          FALSE
## [22,]                                          FALSE
## [23,]                                          FALSE
##       Number.experiencing.thermal.distress Launch.temperature..degrees.F.
##  [1,]                                FALSE                          FALSE
##  [2,]                                FALSE                          FALSE
##  [3,]                                FALSE                          FALSE
##  [4,]                                FALSE                          FALSE
##  [5,]                                FALSE                          FALSE
##  [6,]                                FALSE                          FALSE
##  [7,]                                FALSE                          FALSE
##  [8,]                                FALSE                          FALSE
##  [9,]                                FALSE                          FALSE
## [10,]                                FALSE                          FALSE
## [11,]                                FALSE                          FALSE
## [12,]                                FALSE                          FALSE
## [13,]                                FALSE                          FALSE
## [14,]                                FALSE                          FALSE
## [15,]                                FALSE                          FALSE
## [16,]                                FALSE                          FALSE
## [17,]                                FALSE                          FALSE
## [18,]                                FALSE                          FALSE
## [19,]                                FALSE                          FALSE
## [20,]                                FALSE                          FALSE
## [21,]                                FALSE                          FALSE
## [22,]                                FALSE                          FALSE
## [23,]                                FALSE                          FALSE
##       Leak.check.pressure..psi. Temporal.order.of.flight
##  [1,]                     FALSE                    FALSE
##  [2,]                     FALSE                    FALSE
##  [3,]                     FALSE                    FALSE
##  [4,]                     FALSE                    FALSE
##  [5,]                     FALSE                    FALSE
##  [6,]                     FALSE                    FALSE
##  [7,]                     FALSE                    FALSE
##  [8,]                     FALSE                    FALSE
##  [9,]                     FALSE                    FALSE
## [10,]                     FALSE                    FALSE
## [11,]                     FALSE                    FALSE
## [12,]                     FALSE                    FALSE
## [13,]                     FALSE                    FALSE
## [14,]                     FALSE                    FALSE
## [15,]                     FALSE                    FALSE
## [16,]                     FALSE                    FALSE
## [17,]                     FALSE                    FALSE
## [18,]                     FALSE                    FALSE
## [19,]                     FALSE                    FALSE
## [20,]                     FALSE                    FALSE
## [21,]                     FALSE                    FALSE
## [22,]                     FALSE                    FALSE
## [23,]                     FALSE                    FALSE
sum(N_A) #Number of missing values
## [1] 0
plot(data) #Plot for all variables

plot(y=data$Launch.temperature..degrees.F., x=data$Leak.check.pressure..psi., ylab="Launch Temperature in degrees Fahrenheit", xlab="Leak Check Pressure in Psi", main= "Graph of Launch Temperature against Leak Check Pressure")