Conc	Y_monomer	Y_tetramer
0.25	0.18	0
1	0.46	0.0125
2.5	0.7	0.045
4	0.79	0.1
7	0.86	0.27
10	0.9	0.5
13	0.92	0.68
16	0.935	0.78
19	0.95	0.855
25	0.96	0.9225

Binding Data 1

1) (20 pts) The data file "binding-data-1.csv" compares binding of a ligand to a monomeric protein and a tetrameric one, where the first column is the free ligand concentration [L] and the second and third columns are fractional binding Y of the monomeric and tetrameric protein. Using the software of your choice, a) (5 pts) fit with a hyperbolic function Y=[L]+Kd[L] and, if appropriate, a Hill function Y=[L]n+Kdn[L]n b) (6 pts) plot (i) the data, (ii) the best fit lines and (iii) the residuals c) (4 pts) report the resulting best-fit values, the summed log L assuming Gaussian errors, and the associated AIC d) (5 pts) Based on this analysis, (i) is binding to the tetramer cooperative? (ii) Explain what cooperativity means, and (iii) what about the data leads you to that conclusion