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

The data can be modeled with a function in the form H = C/(1 + Ae-Bt) (logistic equation), where H is the height, C is a maximum value for H, A and B are constants, and t is the number of weeks. By using the method described in Section 8.2.2, and assuming that C = 254 cm, determine the constants A and B such that the function best fit the data. Use the function to estimate the height in week 6. In one figure, plot the function and the data points.

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Week 3579 11 13 Height (cm) 51 127 202 227 248 252