Question

the data set represents a progression of hourly temperature measurements. use the regression equation $y = -0.875x^2 - 3.596x + 20.179$ to predict the temperature during the sixth hour.

x	0	1	2	3	4	5
y	20	16	10	0	-7	-20

a. -24

b. -15

c. -25

d. -32

please select the best answer from the choices provided

a
b
c
d

Explanation:

Step1: Identify x for sixth hour

Sixth hour corresponds to \(x = 6\).

Step2: Substitute x=6 into equation

Calculate \(y = -0.875(6)^2 - 3.596(6) + 20.179\):
First term: \(-0.875×36 = -31.5\)
Second term: \(-3.596×6 = -21.576\)
Sum: \(-31.5 -21.576 +20.179 ≈ -32.897\), closest to -32.

Answer:

d. -32