One frequently encountered problem in crop production is deciding when to harvest maximize yield. The accompanying data on x=time to harvesting (number of days after flowering) and y=yield of paddy.
x: 16,18,29,22,24,26,28,30,32,34,36,38,40,42,44,46
y:2508,2518,3304,3423,3057,3190,3500,3883,3823,3646,3708,3333,3517,3241,3103,2776
a) Is it possible to transform this data so that there is an approximate linear relationship between the transformed variable?why or why not?
b) Use a statistical computer package to fit a quadratic function to this data, and then predict yield when time to harvesting is 25 days, Assess the fit of quadratic to the data