Determining a Rate LAW from experimental data: Result is 1st order

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Multiple experiments are run, varying the initial concentrations and measuring the rate. From the multiple experiments, we can solve for the exponents, and then the rate constant, k. this ends up being 1st order. 1st order equations are derived in this video.
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Im a bit confused about the negative "r" squared =0.99 can you please explain to me what just happened there

mafodimichael
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When you integrate t doesn't it becomes (1/2)t^2?

CodyLestrange
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This was going great until you decided to throw in calculus

AssyrianKingever