Fit a polynomial model to the Grimes data, where Y = Calcium (nmoles/mg) and X = time. (The description of the study is given in Example XXXXXXXXXXIs there a reason to force β0 to be zero in this...

Fit a polynomial model to the Grimes data, where Y = Calcium (nmoles/mg) and X = time. (The description of the study is given in Example 15.1.) Is there a reason to force β0 to be zero in this case? Plot your polynomial response curve and the Weibull response curve given in the text, and superimpose the observed data. Compare the two curves. Does one appear to provide a better fit than the other? If so, in what ways?

Example 15.1

The example to illustrate nonlinear regression comes from calcium ion ex- Example 15.1 periments for biochemical analysis of intracellular storage and transport of Ca++ across the plasma membrane. The study was run by Howard Grimes, Botany Department, North Carolina State University, and is used with his permission. The data consist of amount of radioactive calcium in cells (nmole/mg) that had been in “hot” calcium suspension for given periods of time (minutes). Data were obtained on 27 independent cell suspensions with times ranging from .45 to 15.00 minutes (Table 15.1). The kinetics involved led the researchers to postulate that the response would follow Proposed the nonlinear model