Question

A linear model is given for the data in the table: y=1.25x+2.

X 2,3,4,8,10,16,20,24
Y 3,4,7,12,16,22,28,30

What is the sum of the absolute deviation?
A. 7.75
B. 8.31
C. 11.46
D. 2.75

Answer 1

Option A

Explanation:

Given that A linear model is given for the data in the table: y=1.25x+2.

Let us write observed values for each x and also the predicted values as per equation.

x 2 3 4 8 10 16 20 24 Total

y((O) 3 4 7 12 16 22 28 30

y(P) 4.5 5.75 7 12 14.5 22 27 32

DEv 1.5 1.75 0 0 1.5 0 1 2 7 75

where y(0) represents observed y or y in the table given

y(P) gives values of y predicted as per the equation 1.25x+2

Dev represents the absolute difference

Hence answer is option

A.7.75