College

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

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

Answer :

Answer:

Option (3)

Step-by-step 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.

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