A biologist compared the effect of temperature on each of three media on the growth of human amniotic cells in a tissue culture, resulting in the following data: a) Assume a quadratic model is appropriate for describing the relationship between cell count (Y) and temperature (X) for each medium. Complete the SINGLE regression model below that simultaneously incorporates 3 separate quadratic models, one per medium (indicators z1,z2,z3 representing mediums 1,2 and 3 ). Model: μY=β0+β1x+β2x2+ Hint: it goes up to β8. which terms allow different intercepts? which terms allow different slope coefficients for X?… which terms allow different slope coefficients for X2?
