The following data pertain to the growth of a colony of bacteria in a culture medium:

(a) Plot \(\log y_{i}\) versus \(x_{i}\) to verify that it is reasonable to fit an exponential curve.

(b) Fit an exponential curve to the given data.

(c) Use the result obtained in part

(b) to estimate the bacteria count at the end of 20 days.

Transcribed Image Text:

Days since inoculation x Count y 3 115,000 6 147,000 9 239,000 12 356,000 15 579,000 18 864,000