If I have the following 7 set of data:
lengthscale1SB = {{0, 3.7993337011362245`}, {0,
3.6193116859236634`}, {0, 3.3461891247094115`}, {0,
3.0574707834924597`}, {0, 3.307450270535727`}, {0,
3.251024056750981`}};
lengthscale2SB = {{100, 3.3959829513591964`}, {100,
3.0565728205506804`}, {100, 2.9400564470653947`}, {100,
2.8967175652082573`}, {100, 2.9674170847924386`}, {100,
2.8753642406378734`}};
lengthscalemix1SB = {{30, 2.7095704515961243`}, {30,
2.6865199740128887`}, {30, 2.564617432875265`}, {30,
2.462730567366375`}, {30, 2.4219773880245254`}, {30,
2.335272839018933`}};
lengthscalemix2SB = {{79, 3.1997431132267953`}, {79,
3.2626867620996514`}, {79, 3.317284086175602`}, {79,
3.3159620878764295`}, {79, 3.295674443011083`}, {79,
3.2357068371420747`}};
lengthscalemix3SB = {{45, 3.180811253348439`}, {45,
3.1919045631939102`}, {45, 3.188859489948693`}, {45,
3.120255448015712`}, {45, 3.0687721386918634`}, {45,
3.0333445058030537`}};
lengthscalemix4SB = {{88, 2.412063735941416`}, {88,
2.2494272119999836`}, {88, 2.063707039171165`}, {88,
1.9835993472740354`}, {88, 1.9902865174728008`}, {88,
1.8301191148999436`}};
lengthscalemix5SB = {{15, 3.2891166646450087`}, {15,
3.360635129695413`}, {15, 3.3457315005021853`}, {15,
3.342117982645869`}, {15, 3.3322981661048416`}, {15,
3.265515442417647`}};
Questions:
How can find the best fit for all data combined and for each sublist?. In the case of each sublist, I mean for instance the best fit for all 1 positions in each list (e.g. the first position of the first list is {0, 3.7993337011362245
}` ), the best fit of all of the 2 positions in each list and so on.