= Solution
This is <Poisson regression> with independent counts and log mean $\log μ_d=1.5624+0.1658d$. The residual deviance $9.90$ on $12$ degrees of freedom has $p=0.625$, and the plotted curve tracks the data, so there is no evidence of poor fit.
The fitted doubling time is $\log2/0.1658=4.16$ days. A 95% interval for the growth coefficient is $0.1658±1.96(0.0166)=(0.133,0.198)$, corresponding to doubling times $(3.50,5.21)$ days. Seven days, whose rate is about $0.099$, is unsupported.
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