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Complete the table shown in Figure 2 for the N = 5 data points, and hence solve the following system of equations for m and c, determining the least squares fit of the data, y=mx+c. N mΣx₁ + Nc = Σν i=1 i=1 m ¹Σ x² + cΣ x₁ = [X₁Y₁ i=1 i=1 i=1 ¡ 2 W N 3 4 5 Sum X y 10 2145 20 30 40 50 x² 33 51 67 89 102 Figure 2 xy

Complete the table shown in Figure 2 for the N = 5 data points, and hence solve the following system of equations for m and c, determining the least squares fit of the data, y=mx+c. N mΣx₁ + Nc = Σν i=1 i=1 m ¹Σ x² + cΣ x₁ = [X₁Y₁ i=1 i=1 i=1 ¡ 2 W N 3 4 5 Sum X y 10 2145 20 30 40 50 x² 33 51 67 89 102 Figure 2 xy

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 2 Complete the table shown in Figure 2 for the N = 5 data points, and hence solve the following system of equations for m and c, determining the least squares fit of the data, y=mx+c. N Σx₁ + Nc = Σy₁ i=1 i=1 N N m ¹Σ x ² + c Σ x₁ = Σ x; Y; i=1 i=1 i=1 i 1 2 5 Sum X 10 20 30 40 50 y m x² 33 51 67 89 102 Figure 2 xy
Transcribed Image Text:Question 2 Complete the table shown in Figure 2 for the N = 5 data points, and hence solve the following system of equations for m and c, determining the least squares fit of the data, y=mx+c. N Σx₁ + Nc = Σy₁ i=1 i=1 N N m ¹Σ x ² + c Σ x₁ = Σ x; Y; i=1 i=1 i=1 i 1 2 5 Sum X 10 20 30 40 50 y m x² 33 51 67 89 102 Figure 2 xy
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