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25 May, 04:36

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

+2
Answers (1)
  1. 25 May, 06:51
    0
    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
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