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The data for this exercise are produced in the following table. xy 1 3 2 11 3 13 416 (a) Determine the sum of squared errors (SSE) for the following line. Line 1: 3+ 3x = (b) Determine the sum of squared errors (SSE) for the following line. Line 2: ŷ1+4x = (c) By the least squares criterion, which of the two lines is better for these data? Why is it better? Line 2 is better because it has a smaller sum of squared errors than Line 1 does. Line 1 is better because it has a smaller sum of squared errors than Line 2 does. Line 2 is better because it has a bigger sum of squared errors than Line 1 does. Line 1 is better because it has a bigger sum of squared errors than Line 2 does. Neither Line 1 nor Line 2 is better because they have the same sum of squared errors. O O

The data for this exercise are produced in the following table. xy 1 3 2 11 3 13 416 (a) Determine the sum of squared errors (SSE) for the following line. Line 1: 3+ 3x = (b) Determine the sum of squared errors (SSE) for the following line. Line 2: ŷ1+4x = (c) By the least squares criterion, which of the two lines is better for these data? Why is it better? Line 2 is better because it has a smaller sum of squared errors than Line 1 does. Line 1 is better because it has a smaller sum of squared errors than Line 2 does. Line 2 is better because it has a bigger sum of squared errors than Line 1 does. Line 1 is better because it has a bigger sum of squared errors than Line 2 does. Neither Line 1 nor Line 2 is better because they have the same sum of squared errors. O O

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 34EQ
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The data for this exercise are produced in the following table. xy 1 3 2 11 3 13 416 (a) Determine the sum of squared errors (SSE) for the following line. Line 1: 3+ 3x = (b) Determine the sum of squared errors (SSE) for the following line. Line 2: ŷ1+4x = (c) By the least squares criterion, which of the two lines is better for these data? Why is it better? Line 2 is better because it has a smaller sum of squared errors than Line 1 does. Line 1 is better because it has a smaller sum of squared errors than Line 2 does. Line 2 is better because it has a bigger sum of squared errors than Line 1 does. Line 1 is better because it has a bigger sum of squared errors than Line 2 does. Neither Line 1 nor Line 2 is better because they have the same sum of squared errors. O O
Transcribed Image Text:The data for this exercise are produced in the following table. xy 1 3 2 11 3 13 416 (a) Determine the sum of squared errors (SSE) for the following line. Line 1: 3+ 3x = (b) Determine the sum of squared errors (SSE) for the following line. Line 2: ŷ1+4x = (c) By the least squares criterion, which of the two lines is better for these data? Why is it better? Line 2 is better because it has a smaller sum of squared errors than Line 1 does. Line 1 is better because it has a smaller sum of squared errors than Line 2 does. Line 2 is better because it has a bigger sum of squared errors than Line 1 does. Line 1 is better because it has a bigger sum of squared errors than Line 2 does. Neither Line 1 nor Line 2 is better because they have the same sum of squared errors. O O
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