Question

Use the table to answer the question.

x y
0 9
2 8
3 6
4 5.5
7 3


Harriet uses a calculator to draw the line of best fit based on the points in the table. What is the slope of this line? Round to the nearest hundredth as needed.

(1 point)
Responses

-0.88
-0.88

-0.89
-0.89

0.89
0.89

9.14

Answer 1

Compute the least-squares slope:
n = 5
Σx = 16, Σy = 31.5, Σxy = 77, Σx^2 = 78

m = [nΣxy − (Σx)(Σy)] / [nΣx^2 − (Σx)^2]
= (5·77 − 16·31.5) / (5·78 − 16^2)
= (385 − 504) / (390 − 256)
= −119 / 134 ≈ −0.88806

Rounded to the nearest hundredth: −0.89.