Alinear 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

Option A

Step-by-step 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