Given the data
X | 5 | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50 |
y | 17 | 24 | 31 | 33 | 37 | 37 | 40 | 40 | 42 | 41 |
use least-squares regression to fit (a) a straight line, (b) a power equation, (c) a saturation-growth-rate equation, and (d) a parabola. For (b) and (c), employ transformations to linearize the data. Plot the data along with all the curves. Is any one of the curves superior? If so, justify.
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