Question

question 8 of 10
this table shows the rainfall (in centimeters) for a city in different months.
the quadratic regression equation that models these data is
$y=-0.77x^2 + 6.06x - 5.9$.

x
month
1
2
3
4
5
6
y
rainfall (cm)
0
2
5
8
4
3

using this model, the predicted rainfall for month 12 is about -44.06 centimeters. does this prediction make sense? why or why not?
a. yes, because the rainfall is declining.
b. yes, because it is the result of substituting $x = 12$.
c. no, because you cant measure rainfall in centimeters.
d. no, because you cant have a negative amount of rainfall.

Explanation:

Rainfall is a physical measurement of precipitation, and it cannot have a negative value. A negative predicted rainfall is not a meaningful real-world measurement, even if it comes from substituting into the regression equation.

Answer:

D. No, because you can't have a negative amount of rainfall.