Problem 1 (10 Points) You have the following experimental data points to be fitted to this...

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Problem 1 (10 Points) You have the following experimental data points to be fitted to this 3-model parameter equation: In(y) = a – b(x + c)-1 x 21 43 58 73 89 100 109 131 154 175 y 1 5 10 15 40 60 100 200 400 760 a) Use the multiple linear regression technique to construct the matrix to find the constants a, b, and c. b) Calculate the values of a, b, and c. c) Fit the experimental data to the model. Compare the experimental and fitted model and judge the goodness of your fitting qualitatively and quantitatively. Problem 1 (10 Points) You have the following experimental data points to be fitted to this 3-model parameter equation: In(y) = a – b(x + c)-1 x 21 43 58 73 89 100 109 131 154 175 y 1 5 10 15 40 60 100 200 400 760 a) Use the multiple linear regression technique to construct the matrix to find the constants a, b, and c. b) Calculate the values of a, b, and c. c) Fit the experimental data to the model. Compare the experimental and fitted model and judge the goodness of your fitting qualitatively and quantitatively.