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Trends in Science and Technology   539
                                                   for Sustainable Living



                      Coefficient    Correlation Strength
                      0,50 – 0,69    Strong correlation
                      0,70 – 0,89    Very strong correlation
                        >0,90        Almost perfect correlation
                Sumber: de Vaus in Zuzana et al., 2019

                     The correlation of each variable can be strengthened by
                looking at the significance of the two independent variables when
                combined. Multiple linear regression determines if each independent
                variable predicts the dependent variable significantly. Multiple linear
                regression analyzes 11-year data of sea salt harvest (dependent
                variable), rainfall, and number of rainy days (independent variable)
                in  Cirebon  with  confidence  level  determined  at  95%  (alpha  0,05).
                Multiple linear regression analysis is calculated using the following
                formula.

                              Y =  α  β +  X +  β  X +  β  X +  e  (2)
                                     11  2 2   nn

                     Here, Y stands for the dependent variable, X , X , ....., X  for the
                                                        1   2   n
                number of independent variables, and e for the “noise” variable, a
                randomly generated variable with a mean of zero and an unknown
                standard deviation. Additionally, we are unaware of what the
                coefficients β , β , ....., β  are worth. The point estimator of independent
                          1   2   n
                variables is the β coefficient.
                     One  of  the  statistical  regression  outputs  is  the  coefficient
                                2
                of determination (R ), which shows the magnitude of the rainfall
                contribution  and  the  number  of  rainy  days  affecting  salt  yields
                simultaneously. It is necessary to carry out an F test by presenting its
                significance value to ensure an effect of rainfall and the number of
                rainy days simultaneously on salt yields. When the analysis results
                on the F test were insignificant, the coefficient of determination is
                not feasible to be used to predict the contribution of rainfall and
                the  number of  rainy  days to  crop  yields.  The study  used  a 95%
                confidence level or an alpha of 0,05, so the significance value must
                be smaller than the alpha value.
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