The following data show average growth of the human embryo prior to birth.

a) Using the STAT feature, select the CALL menu. Then find the quadratic function of "best fit" for this data (Use 5: QuadReg). Write this quadratic function in standard form: f(x) = ax ² +bx +c

b) Use your calculator to make a scatter plot by using the Stet 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.

Embryo age In weeks 8 12 20 28 36 40 Weight In grams 3 36 330 1000 2400 3200