The following table gives the yield of fruit from each of five orchards of diffe

Question

The following table gives the yield of fruit from each of five orchards of different sizes and also the number of fruit trees in the orchard. Too many trees reduces the amount of fruit on each tree so the question is: given an orchard of size x (ha), how many trees (N) of this kind should be planted so as to get the maximum possible yield? size of orchard/ha x 0.8 1.5 1.9 2.4 1.3 number of trees N 100 160 175 200 90 total yield kg Y 1513 2976 3775 3588 2350 Decide what are the most relevant variables to plot before trying to fit a model. Explain why plotting Y against N would not be a good idea.

Explanation / Answer

1) most relavent variables would be to plot y against N/x 2) it will not be good to plot y against N as in this case we will be neglecting the size of orchards which is critical variable to compare . so it should rather be N/x

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