Computing Weights, or Smoothed Values
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The weight is the smoothing parameter. You can have Minitab supply some optimal weight (the default) or you can specify a weight.

Large weights result in more rapid changes in the fitted line; small weights result in less rapid changes in the fitted line. Therefore, the larger the weights, the more the smoothed values follow the data; the smaller the weights, the less jagged the pattern is in the smoothed values. Thus, small weights are usually recommended for a series with a high noise level around the signal or pattern.