Question

This table shows the population of owls in a park in different years.

The quadratic regression equation that models these data is
y=-1.34x2 + 10.75x - 11.3.
Year
Number of
owls
1
0
2
2
3
7
4
14
on
9
6
4.
Using this model, the predicted number of owls in year 9 is about -
23. Does this prediction make sense? Why or why not?
A. Yes, because the owl population is endangered.
B. No, because the owls went to live somewhere else.
C. No, because you can't have a negative number of owls.
D. Yes, because that is the result of substituting * = 9

Answer 1

c

Explanation:

Answer 2

Option (C).

Explanation:

Table represents the population of the owls in a park in different years and the quadratic regression equation that models the data of the table is,

y = -1.34x² + 10.75x - 11.3

Where y = number of owls

x = year

y = -1.34(9)² + 10.75(9) - 11.3

= -108.54 + 96.75 - 11.3

= -23.09

≈ -23

But Number of owls can't be negative.

Therefore, Option C. will be the answer.