Chapter 1.3, Problem 25E

(A)

To determine

The interpretation of the model depicted by the data given below.

$y=-0.088x+54.884y=-0.087x+49.207$

Along with the scattered plot and linear regression model given below.

(B)

To determine

To calculate:The predict the number of males and females enrolling in the fall in $2025$, using the linear model for males as $y=0.07x+5.0$ and females as $y=0.18x+3.8$.

(C)

To determine

The first year for which the female enrollment will exceed male enrollment by at least 5 million.

$\begin{array}{ccc}\text{Year}& \text{Male}& \text{Female}\\ 1970& 5.04& 3.54\\ 1975& 6.15& 5.04\\ 1980& 5.87& 6.22\\ 1985& 5.82& 6.43\\ 1990& 6.28& 7.53\\ 1995& 6.34& 7.92\\ 2000& 6.72& 8.59\\ 2005& 7.46& 10.03\\ 2010& 9.04& 11.97\end{array}$

The scattered plot and linear regression model are given below: