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Chapter 4: Q. 4.42 (page 173)

a) Plot the data points and the first linear equation on one graph and the data points and the second linear equation on another.

(b) Construct tables forx,y,e,e2,y^

(c) Determine which line fits the data points better according to the least-square criterion.

Short Answer

Expert verified

(a)

(b)

(c) According to the least square criterion, it is clear that line A fits the set of data points better as compared to line B.

Step by step solution

01

Part (a) Step 1: Given information

The given points are

02

Part (a) Step 2: Explanation

Line A

y=9-2x

Line B

y=6-x

Data points

The data points and line A are drawn a

The data points and line B is drawn as

03

Part (b) Step 1: Given information

The given points are

04

Part (b) Step 2: Explanation

Data points

Line A

Line B

05

Part (c) Step 1: Given information

The given data is

06

Part (c) Step 2: Explanation

Data points

Because the value of 鈭�e2is less in line Athan in line B, it is evident that line Ay=9-2xfits the collection of data points better than line By=6-x, according to the least square criteria.

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