Chapter 8, Problem 24P

Growth data of a sunflower plant is given tn the following table:

Day	7	21	35	49	63	77	91
Height (in).	8.5	21	50	77	89	98	99

The data can be modeled with a function in the form $y=\frac{H}{1+e^{-(a+bt)}}$ , where y is the height. H is a maximum height, a and b are constants, and t is the number of days. By using the method described in Section 8.2.2, and assuming that H = 102 in., determine the constants a and b such that the function best fits the data. Use the function to estimate the height in day 40. In one figure, plot the function and the data points.