Qusetion: The following data show average growth of the human embryo prior to birth.Embryo age Weight
In weeks In grams
8 3
12 36
20 330
28 1000
36 2400
40 3200
a) Using the STAT feature, select the CALC menu. Then find the quadratic function of "best fit" for this data. (Use 5: QuadReg). Write this quadratic function in standard form: f(x) = ax2+bx+c.
b) Use your calculator to make a scatter plot by using the Stat Plot feature. Also plot the quadratic function found above in the Y= menu. Then make a sketch of your viewscreen with both the scatter plot and the parabola. (You can make this sketch by hand. You do not have to take a picture of your calculator screen). Be sure to label the axes of your graph appropriately.
c) According to your model, what would a 32 week embryo weigh?
d) According to your model, in what week would an embryo weigh 3000 grams?
e) Could this model be used for weight of an embryo for any number of weeks age (such as 100 or 200)? Explain.