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Homework 12
- Section 6.5 Least Squares
- Read Section 6.5. Do Problems 6.79.
- Homework: 6.83, 6.85, 6.86, 6.89, 6.91, 6.92, 6.93
- Hand In: 6.86*, 6.93, LS1 (below)
- 6.86*. Complete Problem 6.86 on Page 378, but with \(B_1=[3,5,1,3,1]^t\ \mbox{and}\ B_2 = [1,4,-2,1,-2]^t.\)
- 6.93. Complete Problem 6.93 on Pages 379-380, as stated in the text.
- LS1. Find the least squares best fit line \(y = a + bt\) to the four points \((t,y) = (0,2),(1,3),(3,4),(4,6)\). Also compute the predicted values vector \(B_0\) of \(y\) for each of the given \(t\) values, and then compute the error vector \(B_1 = B - B_0\).
- Read Section 6.6. Do the True/False questions (pp. 391-392). Do Problems 6.95, 6.96.
- Homework: 6.97(c)(e) (identify the surface types), 6.98(c)(d), 6.100, 6.104, 6.105, 6.112
- Hand In: 6.97(e)* (identify the surface type), 6.100*
- 6.97(e)*. Complete Problem 6.97(e) on Page 392, but with the quadratic variety \(x^2+y^2+2z^2+2xz+2yz=9\) (identify the surface type).
- 6.100*. Complete Problem 6.100 on Page 393, but giving an equation for an ellipse centered at the origin with a length 6 major cord parallel to the vector \([4,3]^t\) and a length 4 minor axis. Pay attention to the definition (given in the problem) of the major cord of an ellipse.
- Read Section 6.7. Do the True/False questions (pp. 403-404). Do Problems 6.116(a), 6.117(a).
- Homework: 6.116(b)(d), 6.117(c)(b)(d), 6.119(a)(b), 6.120, 6.123, 6.124
- Hand In: none