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Consider the following data values: {3.26 , 7.92 ), { 3.75 , 7.41 ), (4.29 , 8.12 ), (4.60 , 6.64 ), t 4.69 ,
Consider the following data values: {3.26 , 7.92 ), { 3.75 , 7.41 ), (4.29 , 8.12 ), (4.60 , 6.64 ), t 4.69 , 6.45 ), ( 4.90 , 6.35 ), Find the line of best t in a least squares sense, and use that line to approximate the yvalue of the data when a: = 4.49 When 1c 2 4.49, then y m S . When entering yournal answers you may round your estimate to ve decimal digit accuracy. For example if you calculate the value 1673526755 enter 1.67353 Consider the following linear system written in augmented form: 6 0 6 7 5 0 0 56 4 04 69 5 0144 4 If we use Gaussian elimination (with partial pivoting) to solve the linear system then the next stage in the elimination process would be: 0 A E4 _. E4 - (2!3)E3 B E4 E4 + (1(4}E3 C E4 _. E4 - (1!4)E3 Interchange equations 2 and 4 Back substitution Interchange equations 1 and 2 Interchange equations 2 and 3 IQ'IU Interchange equations 3 and 4 l Interchange equations 1 and 4 J EI . E4 + (2:3)53 OOOOOOOOOO K Interchange equations 1 and 3
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