Table 7 Fitted model terms estimates mates together with t-values and p-value is presented.

Term	Estimate	Std	t-value	p-value
\({\varvec{C}}_{{{\varvec{fr}}}} {\mathbf{Re}}_{{\varvec{r}}}^{{{\mathbf{1/2}}}}\)
Intercept	0.03942	0.055792	0.7066	0.499894
A (\(\phi\))	0.11086	0.048317	2.2945	0.040909
B (M)	− 0.09031	0.048317	− 1.8692	0.098534
C (\(\omega\))	0.94430	0.048317	19.5439	< 0.001
AB (\(\phi\) M)	− 0.00364	0.068331	− 0.0533	0.958788
AC (\(\phi\)\(\omega\))	− 0.10694	0.068331	− 1.565	0.156208
BC (M \(\omega\))	− 0.04773	0.068331	− 0.6985	0.504659
A² (\(\phi\) ²)	0.09109	0.065422	1.3924	0.201281
B²(M²)	− 0.08656	0.065422	− 1.3231	0.222372
C²(\(\omega\) ²)	0.45103	0.065422	6.8942	< 0.001

Term	Estimate	Std	Error	t
\({\varvec{C}}_{{{\varvec{g}}\theta \user2{*}}} {\mathbf{Re}}_{{\varvec{r}}}^{{{\mathbf{1/2}}}}\)
Intercept	− 4.28430	0.005018	− 853.758	< 0.001
A (\(\phi\))	− 0.28228	0.004346	− 64.9541	< 0.001
B (M)	− 0.24130	0.004346	− 55.5237	< 0.001
C (\(\omega\))	− 3.37140	0.004346	− 775.772	< 0.001
AB (\(\phi\) M)	− 0.00999	0.006146	− 1.6255	0.14272
AC (\(\phi\)\(\omega\))	− 0.21980	0.006146	− 35.7628	< 0.001
BC (M \(\omega\))	− 0.16585	0.006146	− 26.9849	< 0.001
A² (\(\phi\) ²)	− 0.01248	0.005884	− 2.1203	< 0.001
B²(M²)	0.00510	0.005884	0.867	0.41119
C²(\(\omega\) ²)	− 0.13344	0.005884	− 22.6773	< 0.001
\({\varvec{Nu}}_{{\varvec{r}}} {\mathbf{Re}}_{{\varvec{r}}}^{{ - {\mathbf{1/2}}}}\)
Intercept	1.45550	0.000616	2362.915	< 0.001
A (\(\phi\))	0.32216	0.000533	603.9211	< 0.001
B (M)	− 0.00928	0.000533	− 17.3868	< 0.001
C (\(\omega\))	0.05573	0.000533	104.4847	< 0.001
AB (\(\phi\) M)	− 0.00153	0.000754	− 2.0214	0.001
AC (\(\phi\)\(\omega\))	0.00910	0.000754	12.0623	< 0.001
BC (M \(\omega\))	− 0.00513	0.000754	− 6.7934	< 0.001
A² (\(\phi\) ²)	0.00992	0.000722	13.7409	< 0.001
B²(M²)	0.00075	0.000722	1.0384	0.312
C²(\(\omega\) ²)	0.01682	0.000722	23.2938	< 0.001

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