Question

Since 1990, the number of new books published

each year has been growing at a rate that can be
approximated by a quadratic function. The table
shows the number of books published in the
United States for selected years. Use the
regression feature on your calculator to
determine the quadratic which best fits the
data. Then, estimate the number of books in
2017. (Hint: 2017 represents when x = 27)
Years (1990=0) Books Published (1000's)
46.7
49.2
3
49.8
4
51.7
5
62.0
6
68.2
7
65.8
9
102.0
10
122.1
0
2
Oy=1.0622 - 3.57x + 49.8726150
o y = 1.0522 - 3.682 + 49.9 715990
Oy=1.04.c– 3.51x + 49.41 712800
y = 1.0522 - 3.752 + 49.6 713800

Answer 1

Option (3)

Explanation:

By using quadratic regression calculator,

Regression equation for the given data will be,

y = -1.04x²- 3.51x + 49.41

For x = 27 years (In year 2017),

y = 1.04(27)² - 3.51(27) + 49.41

= 758.16 - 94.77 + 49.41

= 712.8

Since y-values are in thousand (000's)

Therefore, number of books published in 2017 will be 712800.

Option (3) will be the correct option.