This table show the population of owls in a park in different years. The quadratic regression equation that models these data's is y=-1.34^2+10.75x-11.3.

x values represent year : 1,2,3,4,5,6

y values represent number of owls : 0,2,7,14,9,4

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: Yes, because that is the result of substituting x=9

D: NO, because you can't have a negative number of owls.

Question

Mathematics

Joselyn Haynes

19 November, 16:09

This table show the population of owls in a park in different years. The quadratic regression equation that models these data's is y=-1.34^2+10.75x-11.3.

x values represent year : 1,2,3,4,5,6

y values represent number of owls : 0,2,7,14,9,4

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: Yes, because that is the result of substituting x=9

D: NO, because you can't have a negative number of owls.

+2

Answers (2)

Know the Answer?

Angel Strickland · Answer 1

you can not have a negative number of owls

Kymani Jefferson · Answer 2

Answer: D) No, you cannot have a negative number of owls

This applies to any creature, person or thing in general. A negative number of something doesn't make any sense. So there are limits to how useful the regression is.