Product research

 

A scientific research institute studies a product. There are three factors that affect the control indicators. A total of 85 samples of the data corresponding to the control indicators of the three factors are collected, and their mathematical models are made and plotted by regression analysis.

 

The data are as follows:

 

First dimension   second dimension third dimension   key indicators

20                 34                    -2.9               66.9              

 20                 56                    -2.8               65.7              

 20                 53                    -2.8               65.2              

 10                 52                    -2.8               65.4              

 10                 48                    -2.8               66.7              

 10                 47                    -2.8               67.2              

 10                 45                    -2.8               71.4              

 10                 45                    -2.8               73.4              

 10                 44                    -2.8               72.4              

 50                 42                    -2.8               64                

 50                 41                    -2.8               61.5              

 50                 37                    -2.8               62                

 50                 37                    -2.8               63.5              

 50                 32                    -2.8               64.4              

 40                 26                    -2.8               65.2              

 40                 28                    -2.7               61.5              

 40                 47                    -2.6               60.7              

 40                 44                    -2.6               62.2              

 40                 43                    -2.6               59.7               

 30                 41                    -2.6               58                

 30                 38                    -2.6               59                

 30                 37                    -2.6               61.2              

 30                 37                    -2.6               63.5              

 30                 36                    -2.6               64.7              

 30                 35                    -2.6               65.4              

 20                 34                    -2.6               62.2              

 20                 32                    -2.6               60.5              

 20                 31                    -2.6               60.5              

 20                 28                    -2.6               59                

 20                 22                    -2.6               57.7              

 20                 23                    -2.5               57.7              

 10                 35                    -2.4               57.7               

 10                 33                    -2.4               59.5              

 10                 32                    -2.4               60.7              

 10                 31                    -2.4               63.2              

 10                 30                    -2.4               63.7              

 10                 29                    -2.4               66.7              

 50                 28                    -2.4               82.4              

 50                 27                    -2.4               83.4              

 50                 27                    -2.4               83.1              

 50                 27                    -2.4               83.4              

 50                 25                    -2.4               84.6              

 50                 25                    -2.4               86.3              

 50                 22                    -2.4               87.3              

 50                 17                    -2.4               88.6              

 50                 16                    -2.3               88.8              

 50                 25                    -2.2               89.8              

 40                 24                    -2.2               90.1               

 40                 23                    -2.2               89.3              

 40                 22                    -2.2               86.1              

 40                 21                    -2.2               88.1              

 40                 20                    -2.2               86.3              

 40                 20                    -2.2               84.9              

 40                 20                    -2.2               82.4              

 40                 18                    -2.2               81.6              

 40                 16                    -2.2               81.1              

 30                 16                    -2.2               81.1              

 30                 14                    -2.2               81.1              

 30                 11                    -2.2               82.1              

 30                 19                    -2.1               84.1              

 30                 18                    -2.1               86.8               

 30                 17                    -2.1               88.8              

 30                 16                    -2.1               89.8              

 30                 15                    -2.1               91.6              

 30                 13                    -2.1               89.1              

 30                 11                    -2.1               90.8              

 20                 12                    -2                 90.1              

 20                 12                    -2                 88.6              

 20                 12                    -2                 90.3              

 20                 12                    -2                 87.1              

 20                 11                    -2                 86.3              

 20                 11                    -2                 85.4              

 20                 11                    -2                 84.1              

 20                 10                    -2                 82.4               

 20                 10                    -2                 81.1              

 20                 9                     -2                 80.9              

 10                 9                     -2                 81.4              

 10                 9                     -2                 82.4              

 10                 8                     -2                 85.4              

 10                 9                     -1.9               87.8              

 10                 8                     -1.9               89.6              

 10                 8                     -1.9               88.6              

 10                 7                     -1.9               89.6              

 10                 6                     -1.8               88.8              

 10                 6                     -1.8               88.6