Problem

The following data are from a classic experiment in biology that measured the average heig...

The following data are from a classic experiment in biology that measured the average height of a group of sunflower plants at seven-day intervals.

Growth in (Mean) Height of Sunflower Plants

Day t

Mean height h (cm)

  7

17.93

21

67.76

Source: H. S. Reed and R. H. Holland in Proceedings of the National Academy of Sciences, vol. 5 (1919), p. 140.

(a) Plot the two data points in the following coordinate system.

(b) Use the midpoint formula and the data for t = 7 days and t = 21 days to estimate what the average height of the sunflowers might have been at t = 14 days. (Round the answer to one decimal place.)

(c) Compute the percentage error in the estimation in part (b), given that the actual average height at t = 14 days was 36.36 cm. Round the answer to the nearest whole percent.

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