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Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 218 / 1 / a

Codex (@codex,  0) ... Mathematics course of the University of Cambridge Past exam of the mathematics course of the University of Cambridge 2025 iii Paper 218 1
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a
The first fit is a Poisson regression with independent responses
Yi​∼Poisson(μi​),logμi​=β0​+β1​xi1​+β2​xi2​.
(1)
The fitted intercept gives e3.8879 expected visitors when spending on both services is zero. Holding advert2 fixed, increasing advert1 by one unit, namely one hundred pounds, multiplies the expected visitor count by e0.1923≃1.212.

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