Model the effect of temperature

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Reference no: EM131082713

Use logistic regression for the data given below on launch temperature and O-ring failure for the 24 space shuttle launches prior to the Challenger disaster of January 1986. There are six O-rings used on the rocket motor assembly to seal field joints. The table below presents the launch temperatures. A '1' in the "O-Ring Failure" column indicates that at least one O-ring failure had occurred on that launch.

Temperature (0F)

O-Ring Failure

Temperature (0F)

O-Ring Failure

Temperature (0F)

O-Ring Failure

53

1

68

0

75

0

56

1

69

0

75

1

57

1

70

0

76

0

63

0

70

1

76

0

66

0

70

1

78

0

67

0

70

1

79

0

67

0

72

0

80

0

67

0

73

0

81

0

  • Use logistic regression to model the effect of temperature on the probability of O-Ring Failure. How do you the results be interpreted? In particular how the effect of temperature on the odds of thermal distress should be interpreted?
  • Examine the model fit.
  • Calculate the predicted probability of O-Ring Failure at 51°F, the temperature at the time of the Challenger flight.
  • Test the hypothesis that temperature had no effect using the Wald statistic

Reference no: EM131082713

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