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A linear regression was performed using the five following data points: A(2,22),B(10,4),C(6,14),D(14,2),E(18,4) The residual for which of the five points has the largest absolute value?

(a) A (b) B (c) C (d) D (e) E

Short Answer

Expert verified

The correct option is (b).

Step by step solution

01

Given information

The point are givenA(2,22),B(10,4),C(6,14),D(14,2)

02

Concept

A simple random sample (SRS) of size n is made up of n people chosen from the population with an equal chance of being the sample that is actually chosen.

03

Calculation

The linear equation is given by:

y=23.6-1.6x

xyy
Absolute(residual
22220.41.6
1047.63.6
614140
1421.20.8
18-4-5.21.2

The residual for point B has the largest absolute value.

Hence the correct answer is (b).

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