A biologist compared the effect of temperature for each of two media on the growth of human
Question:
A biologist compared the effect of temperature for each of two media on the growth of human amniotic cells in a tissue culture. The data shown in the following table were obtained.
a. Assuming that a parabolic model is appropriate for describing the relationship between Y and X for each medium, provide a single regression model that incorporates two separate parabolic models, one corresponding to each medium.
b. Use the SAS output provided here to determine and plot the separate fitted parabolas for each medium. (Z = 0 for medium A, and Z = 1 for medium B.)
c. Test for "parallelism" of the two parabolas.
d. Test for coincidence of the two parabolas.
e. Is it possible to test whether a quadratic term should be included in the model for each medium using only the provided SAS output? Explain.
Where Z = 1 if Medium B, 0 Otherwise
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Step by Step Answer:
Applied Regression Analysis And Other Multivariable Methods
ISBN: 632
5th Edition
Authors: David G. Kleinbaum, Lawrence L. Kupper, Azhar Nizam, Eli S. Rosenberg