Simple Linear Regression and Correlation
The space shuttle Challenger accident in January 1986 was the result of the failure of O-rings used to seal field joints in the solid rocket motor because of the extremely low ambient temperatures at the time of launch. Prior to the launch, there were data on the occurrence of O-ring failure and the corresponding temperature on 24 prior launches or static firings of the motor. In this chapter, we will see how to build a statistical model relating the probability of O-ring failure to temperature. This model provides a measure of the risk associated with launching the shuttle at the low temperature when Challenger was launched.