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 due to the extremely low ambient temperatures at the time of launch. Prior to the launch there were data on the occur-rence 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 occurring when Challenger was launched.
CHAPTER OUTLINE
11-3 PROPERTIES OF THE LEAST SQUARES ESTIMATORS
11-4 HYPOTHESIS TESTS IN SIMPLE LINEAR REGRESSION
11-4.2 Analysis of Variance Approach to Test Significance of Regression
11-5.1 Confidence Intervals on the Slope and Intercept
11-5.2 Confidence Interval on the Mean Response
11-6 PREDICTION OF NEW OBSERVATIONS
11-7 ADEQUACY OF THE REGRESSION MODEL
11-7.2 Coefficient of Determination (R2)
LEARNING OBJECTIVES
After careful study of this chapter, you should be able to do the ...
Get Applied Statistics and Probability for Engineers, 5th Edition now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.
