Question

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. using this model, the predicted rainfall for month 10 is about -22.3 centimeters. does this prediction make sense? why or why not?

Answer 1

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

Explanation:

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Answer 2

No, this prediction does not make any sense because rainfall can not be negative.

Explanation:

The given quadratic regression equation that shows the rainfall (in centimeters) for a city in different months is

`y=-0.77x^2+6.06x-5.9`

At x=10

`y=-0.77(10)^2+6.06(10)-5.9=-22.3`

It means the rainfall for month 10 is about -22.3 centimeters. It is a negative value and we know that the rainfall can not be negative.

Therefore this prediction does not make any sense because rainfall can not be negative.