Use the orthogonal sample vectors (5.71) to find the best polynomial least squares fits of degree 1,2

Question:

Use the orthogonal sample vectors (5.71) to find the best polynomial least squares fits of degree 1,2 and 3 for the following sets of data:
(a)

(b)

(c)

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

Step by Step Answer:

Related Book For book-img-for-question

Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

See More Books

Question Posted: Jun 17, 2016 08:51 AM

See More Questions

(a) Verify the orthogonality of the sample polynomial vectors in (5.71). (b) Construct the next orthogonal sample polynomial q4(t) and the norm of its sample vector. (c) Use your result to compute...
Find the orthogonal projection of v onto the subspace W spanned by the vectors u i . (You may assume that the vectors u i are orthogonal.) 1 -1 2 , u1 3
Find the orthogonal projection of v onto the subspace W spanned by the vectors u i . (You may assume that the vectors u i are orthogonal.) -1 -2 > -3 , , %3D >
96. A 66-year-old woman with a long history of heavy smoking presents to her doctor with complaints of shortness of breath and chronic coughing that has been present for about 2 years and has been...
What are the three major business functions, and how are they related to one another? Give specific examples.
What is the purpose of a TextView element?
Explain the difference between multiple and simple inheritance and provide one example of each.
Refer to Problem P22- 47B. Additional data for Beta Batting Company: a. Capital expenditures include $ 40,000 for new manufacturing equipment, to be purchased and paid in the first quarter. b. Cash...
A particle's position is given by x = 2 - 11t + 2t2 (where t is in seconds and x is in meters). (a) What is its velocity at t = 1 s? (Indicate the direction with the sign of your answer.) -7 m/s (b)...
A bus company is responsible for offering public transportation in the suburbs of a large metropolitan area. The company has significant data management requirements: It needs to keep track of its...
Repeat Exercise 5.5.13 using the weighted norm || v || = v21 + 2v22 + v23 + 3v24. Exercise 5.5.13 Find the closest point to b = (1, 2, - 1,3)T in the subspace W = span {(1,0,2, l)T, (1, 1,0, l)T, (2,...
Use the result of Exercise 5.5.16 to find the best approximating polynomial of degree 4 to the data in Exercise 5.5.15. (a) (b) (c) 2 0 2 713 18 21 4-27-22-3 5 1.2 22 3.2 01-3-2-10 1 2 3 y 60 80 90...
What are the formulas of the compounds that correspond to the names given in the following table? Compound Name Carbon tetrabromide Cobalt(II) phosphate Magnesium chloride Nickel(II) acetate Calcium...
Find the linear approximation for the following nonlinear equation at the reference point: x = 2 and y = 3. f(x,y) = exy+10x3 + 15y - 20 What is the relative error in the linear approximation at x =...
In a process used for electroplating copper, a current of 10.23 A was passed through an electrolytic cell for exactly 1 hour. How many moles of electrons passed through the cell? What mass of copper...
A fashion is required to be coated with a thin 5 micrometer layer of silver. The coin is 5 cm in diameter and 2 mm thick. There is a silver nitrate solution at a concentration of 1 M, a source that...
The electrolysis process is carried out for a 5 M sodium chloride solution for the production of sodium hydroxide and chlorine. The process is carried out at room temperature at sea level (T=25C and...
Can a cost be both a direct cost and an indirect cost?
Name the main types of spatial operators and different classes of spatial queries.
Write a while loop that uses an explicit iterator to accomplish the same thing as Exercise 7.3. Exercise 7.3. Write a for-each loop that calls the addInterest method on each BankAccount object in a...
Use the probability mass function in Exercise 3-11 to determine the following probabilities: (a) P (X < 2) (b) P (0.5 < X < 2.7) (c) P (X > 3) (d) P (0 < X < 2) (e) P (X = 0 or X = 2) Verify that the...
f(x) = (3/4) (1/4)x , x = 0,1,2,... (a) P (X = 2) (b) P (X < 2) (c) P (X >2) (d) P (X > 1)
Marketing estimates that a new instrument for the analysis of soil samples will be very successful, moderately successful, or unsuccessful, with probabilities 0.3, 0.6, and 0.1, respectively. The...
Jet Airways borrowed $1,000,000 for one year to improve its liquidity. Jet Airways paid back the principal and interest of $1,060,000 at the end of the year. What is the dollar amount of interest and...
if the cost of attending the university is $40,000 per year due at the beginning instead of the end of each year for four years, how much do you have to deposit in a lump sum to be able to pay for...
Financial Analysis Case This case can be assigned as a group activity. Additional instructions and material for this activity can be found on the Instructor Resource site and in WileyPLUS. Kenmare...

Use the orthogonal sample vectors (5.71) to find the best polynomial least squares fits of degree 1,2

Question:

2 0 2 713 18 21 4-27-22-3 5 1.2 22 3.2 01-3-2-10 1 2 3 y 60 80 90 100 120 120 130

Step by Step Answer:

a p 1 t 14 72 t p 2 t p 3 t 14 72 t 114 t 2 2 ...View the full answer

Applied Linear Algebra

Students also viewed these Linear Algebra questions