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Exponential data 1 0.2Time Fluorescence 0.21666666666666667 2.2229405970230673 0.23333333333333334 2.1380382172476224 0.25 2.2444369345148543 0.26666666666666666 2.1975859661635115 0.2833333333333333 2.159979996117131 0.3 2.1805185491317993 0.31666666666666665 2.187114154256918 0.3333333333333333 2.2124154654500727 0.35 2.060334926963474 0.36666666666666664 1.864714111419577

Exponential data 1

0.2Time

Fluorescence

0.21666666666666667

2.2229405970230673

0.23333333333333334

2.1380382172476224

0.25

2.2444369345148543

0.26666666666666666

2.1975859661635115

0.2833333333333333

2.159979996117131

0.3

2.1805185491317993

0.31666666666666665

2.187114154256918

0.3333333333333333

2.2124154654500727

0.35

2.060334926963474

0.36666666666666664

1.864714111419577

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(20 pts) The data file "exponential-data-1.csv" contains simulated fluorescence decay data that is exchanging between an unknown number of states. Assuming that each state decays independently, then Y=mi=1neRit+b+N(0,) for n states where describes the instrument noise. Using the software of your choice, a) (5 pts) fit models for n between 1 and 5 (5 total models) b) (6 pts) plot (i) the data and (ii) the best fit lines c) (4 pts) report the resulting best-fit values, the summed logL, and the associated AIC for each n d) (5 pts) based on the analysis, how many states (n) would you infer are present and why

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