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(5 points) Spreadsheet problem Background Recent research has shown that a plant cell's volume is proportional to the total volume of all chloroplasts present inside
(5 points) Spreadsheet problem Background Recent research has shown that a plant cell's volume is proportional to the total volume of all chloroplasts present inside of it. Thus the relationship between cell volume and total chloroplast volume is thought to be a linear relationship of the form: y=ax, where y is the total volume of all chloroplasts inside a given cell with volume x. Below, you are given a number of measurements (data points) of cell volume and total volume of all chloroplasts. Chloroplast volume is given as y, and cell volume as xj, where i enumerates the measurements Problem statement Find the value of a which minimizes (s) = 7 -axi )2 where the data points (xi, yi) are given in the table below. 123 4 5 67 89 10 11 12 3 4 15 16 17 X0.3 0.4 0.6 1 1.5 1.6 1.9 2.2 2.7 3 3.644.1 4.7 4.8 5 5.2 y0.180.24 0.350.60.87 0.99 1.12 1.25 1.71.742.07 2.32 2.482.7/2.96 3.143.11 amin
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