The cumulative number of deaths worldwide due to the H1N1 virus, or swine flu, at various days into the epidemic are listed below, where April 21, 2009, was day 1.

Use a calculator with logistic regression capability to complete the following.
(a) Plot the number of deaths y against the number of days t. Discuss the appropriateness of fitting a logistic function to these data.
(b) Use the logistic regression function on your calculator to determine the logistic equation that best fits the data.
(c) Plot the logistic regression function from part (b) on the same graph as the data points. Discuss how well the logistic equation fits the data.
(d) Assuming the logistic equation found in part (b) continues to be accurate, what seems to be the limiting size of the number of deaths due to this outbreak of the H1N1 virus?

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Day 14 28 43 57 71 84 99 117 132 Deaths 27 74 114 164 315 580 1049 2074 2967 Day 148 163 182 206 221 234 266 274 Deaths 3696 4334 4804 6704 8450 9797 14,024 14,378