Chapter 6.3, Problem 70E

(a)

To determine

To calculate: The least square regression parabola, $y=a{x}^2+bx+c$, for the provided data after solving the system of equations consisting of $4c+520b+69600a=228$, $520c+69600b+9568000a=28160$ and $69600c+9568000b+134680000a=3575200$.

(b)

To determine

To graph: The least square regression parabola $y=-0.01125x^2+2.185x-31.3$ and the provided data about the reproductive rate of deer in a wildlife preserve, where x is the number of females and y is the percent of females on the same viewing window

$\begin{array}{ccccc}\text{Number},x& 100& 120& 140& 160\\ \text{Percent},y& 75& 68& 55& 30\end{array}$

And also determine if the model fits the provided data.

(c)

To determine

To calculate: The percent of females with offspring when the number of females was 170.

(d)

To determine

To calculate: The number of females with offspring when the percent of females was $40\%$.