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Statistical classification is the problem of identifying the sub-population to which new observations belong, where the identity of the sub-population is unknown, on the basis of a training set of data containing observations whose sub-population is known. Therefore these classifications will show a variable behavior which can be studied by statistics.
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Anomaly detection
Your idea looks good to me. (I was not able to add a comment - hence attempting an 'Answer')
If I understand correctly: Battery performance degrades over time and hence you have a -ve lm coefficients …