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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