4 Reliability Data Plotting
Chapter Overview and Learning Objectives
- To understand the properties of the straight line.
- To learn the characteristics of the least squares fit and calculate the parameters of the straight line.
- To learn how to conduct linear rectification.
- To construct probability plots of various life distributions, including exponential, Weibull, normal, and lognormal distribution.
- To utilize Excel, Minitab, and Python to construct probability plots.
4.1 Straight Line Properties
In a previous chapter, we learn different parameters of various lifetime distributions, including exponential, Weibull, normal, and lognormal distributions. Graphical procedures could be useful to validate the assumptions of particular distributions to the data. Reliability data plotting also helps to estimate parameters of the distributions quickly.
Figure 4.1 illustrates the properties of a straight line. A straight line can be drawn based on two points. The slope parameter can be calculated as follows:
(4.1)
Figure 4.1 Properties of the straight line.
The linear relationship can be shown through the equation
(4.2)
The equation explains that the change in y is proportional to the ...
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