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These exploratory factor analysis results were used for the following regression analysis.
We use these transformed values as explanatory variables in the following regression analysis.
The wear data analysis was carried out based on an orthogonal experimental design following regression analysis method to examine the simultaneous influence of braking pressure, sliding velocity, concentration of abrasives and their interactions.
The tribo-performance data analysis was carried out based on an orthogonal experimental design (2 loads × 3 temperatures) following regression analysis method to examine the simultaneous influence of applied load, disc-temperature and their interactions.
Hence, these terms were neglected from the full model considering nonsignificance and reduced polynomial equations (Eqs. 6 and 7, for PDE and PS, respectively) were obtained following regression analysis of PDE and PS.
The dependent variable in the following regression analysis is number of times a US patent is cited by a unique patent with an inventor from a given country in a given year.
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Based on the regression analysis, the following regression equation is formulated: {t}_{ia} = 4.61 + 1.51{s}_a (1).
Based on the regression analysis, the following regression equation is formulated: {t}_{ea} = 26.72 + 3.88{s}_a (2).
The multiple regression analysis applied the following regression model to the effective learning rate, eα(t) 15 where βi was the regression coefficient.
The derived metrics enabled us to reduce the amount of input data for a following Random Forest regression analysis, while preserving the information needed to approximate LSP.
The following multivariate regression analysis model that controls for various other determinants of CSR disclosure is applied: DISCLOSURE={beta}_0+{beta}_1 STRATEGY+{beta}_2 APPLISTED+{beta}a}_{10}PLOYEE+{beta}_4 AWARENESTANDALONE+{beta}ZE+{beta}_{11}DUSTRY+{beta}_7 loGRI+varepsilon INCORPORATION+{beta}_9 LISTED+{beta}_{10} STANDALONE+{beta}_{11} GRI+varepsilon (1).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com