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101




                     Worked Example  5.3 :

                            Here in Table 5.6 is data about the results of environmental studies. The
                     study measured the 4 variables, namely the concentration of ozone (Y),  solar

                     radiation  (X1),  temperature  (X2),  and  the  wind  speed  (X3).  If  the  relationship

                     between the dependent variable ozone and independent variables want to be

                     investigated  by  the  multiple  linear  regression  models,  estimate  the  linear
                     regression equation.


                     Table  5.6    Data about the results of environmental studies


                        N0   Ozone   Radiation   Temperature    Wind

                        1    3.45       190          67                   7.4
                        2    3.30       118          72                   8.0
                        3    2.29       149          74                   12.6
                        4    2.62       313          62                   11.5
                        5    2.84       299          65                   8.6
                        6    2.67        99          59                   13.8
                        7    2.00        19          61                   20.1
                        8    2.52       256          69                   9.7
                        9    2.22       290          66                   9.2
                       10    2.41       274          68                   10.9
                       11    2.62        65          58                   13.2
                       12    2.41       334          64                   11.5
                       13    3.24       307          66                   12.0
                       14    1.82        78          57                   18.4
                       15    3.11       322          68                   11.5
                       16    2.22        44          62                   9.7
                       17    1.00         8          59                   9.7
                       18    2.22       320          73                   16.6
                       19    1.59        25          61                   9.7
                       20    3.17        92          61                   12.0
                       21    2.84        13          67                   12.0
                       22    3.56       252          81                   14.9
                       23    4.86       223          79                   5.7
                       24    3.33       279          76                   7.4
                       25    3.07       127          82                   9.7
                       26    4.14       291          90                   13.8
                       27    3.39       323          87                   11.5
                       28    2.84       148          82                   8.0
                       29    2.76       191          77                   14.9
                       30    3.33       284          72                   20.7


                     Worked Solution:

                            Details of the calculation using the computerized results are presented as

                     follows.





                                   ~~* CHAPTER 5   THE MULTIPLE LINEAR REGRESSION MODEL *~~
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