Similar to figure XXa, figure XXa shows the comparison within invention. The average number of inventions indicated that as group size increased, the cumulative increase in invention started to resemble that of a sigmoidal shape. This indicated that as group size increased, the gentle slope seen in group size-1 was quickly followed by a rapid increase. And as quicker the goals were met, the gentle slopes in bigger group size became longer. Figure XXb also shows when the speed of group size-1 was increased. Similar to goals, the light line is above the solid line indicating that the effects of group size is minimal. We also fitted the data using OLS (ordinal least square) with the power function applied through the curve_fit function from SciPy module in Python. While the data fitted poorly in invention, it suggested that ~.
Improvemnt: a gentle upward convex function
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