Analysis
The data provided
not only opens discussion points about the structure of a Run Chart, it
provides opportunities to introduce and peruse the least squares analysis of
the summarized data chart data provided in the graph's plots. Since simple linear least squares analysis is
available in many data analysis software packages, having students explore this
technique is easy. In many cases, as is
in this example, an "eye-ball" linear least squares analysis will
do. The driving criteria for such least
squares efforts is to try to construct a line that places the sum of all individual
data point distances from the line equal to zero. This exact task is hard for the eye to
accomplish but most people can draw a line that meets this general
requirement. For this example, it should
be clear that the least squares line for System 638 is increasing in a steady
fashion and indicates that ( if it has
not already done so) the system will produce shear pins that exceed the radius
tolerance limit for that part. Thus, the
equipment will need maintenance attention as soon as possible.
Solution
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