# On page 293, we derived the least squares solution, *b = X+y, to the over determined system Xb = y..

On page
293, we derived the least squares solution, *b = X+y, to the over determined system
Xb = y by use of the QR decomposition of X. This equation for the least squares
solution can also be shown to be correct in other ways ) For simplicity in
this part, let us assume that X is of full rank; that is, we will write *b as
the solution to the normal equations, *b = (XTX)_1XTy. (This assumption
is not necessary, but the proof without it is much messier. Show that *b = X+y
by showing that (XTX)_1XT = X+.

b) On
page 291 we showed that orthogonality of the residuals characterized a least
»

On page
293, we derived the least squares solution, *b = X+y, to the over determined system
Xb = y by use of the QR decomposition of X. This equation for the least squares
solution can also be shown to be correct in other ways ) For simplicity in
this part, let us assume that X is of full rank; that is, we will write *b as
the solution to the normal equations, *b = (XTX)_1XTy. (This assumption
is not necessary, but the proof without it is much messier. Show that *b = X+y
by showing that (XTX)_1XT = X+.

b) On
page 291 we showed that orthogonality of the residuals characterized a least squares
solution. Show that *b = X+y is a least squares solution by showing that in
this case XT(y _ X*b) = 0.

»

## Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
\$26
The price is based on these factors:
Academic level
Number of pages
Urgency
Basic features
• Free title page and bibliography
• Unlimited revisions
• Plagiarism-free guarantee
• Money-back guarantee
• 24/7 support
On-demand options
• Writer’s samples
• Part-by-part delivery
• Overnight delivery
• Copies of used sources
• Expert Proofreading
Paper format
• 275 words per page
• 12 pt Arial/Times New Roman
• Double line spacing
• Any citation style (APA, MLA, Chicago/Turabian, Harvard)

# Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

### Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

### Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

### Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

### Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

### Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.