Partial Least Squares

Predicted Response Tables - Confidence Interval

  

Minitab displays a confidence interval for each predicted response, providing a range within which you can expect the estimated mean response to fall.

Example Output

Predicted Response for New Observations Using Model for Moisture

Row      Fit    SE Fit        95% CI              95% PI

  1  14.5184  0.388841  (13.7343, 15.3026)  (12.5910, 16.4459)

  2   9.3049  0.372712  ( 8.5532, 10.0565)  ( 7.3904, 11.2193)

  3  14.1790  0.504606  (13.1614, 15.1966)  (12.1454, 16.2127)

  4  16.4477  0.559704  (15.3189, 17.5764)  (14.3562, 18.5391)

  5  15.1872  0.358044  (14.4652, 15.9093)  (13.2842, 17.0903)

  6   9.4639  0.485613  ( 8.4846, 10.4433)  ( 7.4492, 11.4787)

Test R-sq: 0.906451

 

Predicted Response for New Observations Using Model for Fat

Row      Fit    SE Fit        95% CI              95% PI

  1  18.7372  0.378459  (17.9740, 19.5004)  (16.8612, 20.6132)

  2  15.3782  0.362762  (14.6466, 16.1098)  (13.5149, 17.2415)

  3  20.7838  0.491134  (19.7933, 21.7743)  (18.8044, 22.7632)

  4  14.3684  0.544761  (13.2698, 15.4670)  (12.3328, 16.4040)

  5  16.6016  0.348485  (15.8988, 17.3044)  (14.7494, 18.4538)

  6  20.7471  0.472648  (19.7939, 21.7003)  (18.7861, 22.7080)

Test R-sq: 0.762701

Interpretation

In this example, the scientists requested a 95% confidence interval. They can be 95% confident that, for the first sample, for all observations with that set of predictor values, the mean response for moisture will be between 13.7343 and 15.3026.

 


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