Midterm v1 EGR 102: Introduction to 4 of 9 Engineering Modelling Midterm v1 Ques
ID: 3229672 • Letter: M
Question
Midterm v1 EGR 102: Introduction to 4 of 9 Engineering Modelling Midterm v1 Question 3 (30 marks) The data in table l is known to fit the following model: where a and B are parameters. The linearization of eq. (1) is a) Using the concepts of nonlinear regression, complete the table headings of table l (the shaded cells). Then, use the results to set up the equations/matrices in solving for ao and ai. You do not need to solve the system of equations. (20 marks) 0,693 0.48 1.386 1.098 1.207 3.186 35 1.386 35 1922 4.8 1.609 6.438 4.787 12.9 15.862 Table 1: Data for question 3Explanation / Answer
1)
The table headings are
x y ln x y ( ln x)^2 y * ln x
2) y = 0.5 +2.17 ln(x) where x = 2.6
y = 0.5+ 2.17 * ln(2.6) = 2.573