Use Equations (3.5) and (3.6) to estimate the coefficients of the line y = ax + b

Question:

Use Equations (3.5) and (3.6) to estimate the coefficients of the line y = ax + b such that the sum of the squared deviations between the line and the following data points is minimized.

a.X y 1.0 2.3 3.7 4.2 6.1 3.6 3.0 3.2 7.0 5.1 5.3 6.8

b. X 29.1 72.7 0.0493 0.0821 0.123 48.2 92.0 0.154 118 140 0.197 0.234 165 199 0.274 0.328

c. X y 2.5 4.32 3.0 4.83 3.5 4.0 4.5 5.0 5.5 5.27 5.74 6.26 6.79 7.23

For each problem, compute D and dmax to bound cmax. Compare the results to your solutions to Problem 2 in Section 3.2.

equation 3.5

18. m xy -   m x - (.x) the slope

equation 3.6


b= ..-...  m x - (.x) the intercept

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

A First Course In Mathematical Modeling

ISBN: 9781285050904

5th Edition

Authors: Frank R. Giordano, William P. Fox, Steven B. Horton

Question Posted: