Show that the first principal direction q 1 can be characterized as the direction of the line
Question:
Show that the first principal direction q1 can be characterized as the direction of the line that minimizes the sums of the squares of its distances to the data points.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (6 reviews)
Let x1 x2 xn be the given data points in Rd and let q be an arbitrary unit vector in Rd Then the squ...View the full answer
Answered By
Morris Maina
I am a professional teaching in different Colleges and university to solved the Assignments and Project . I am Working more then 3 year Online Teaching in Zoom Meet etc. I will provide you the best answer of your Assignments and Project.
0.00
0 Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Let x i = (x i , y i ), i = 1, . . . , m, be a set of data points in the plane. Suppose L R 2 is the line that minimizes the sums of the squares of the distances from the data points to it, i.e.,...
-
The agricultural market for corn can be characterized as a purely competitive industry. How might the following events affect the short-run cost curves and output for a firm in the industry? (a) A...
-
Show that, in a network with all unit resistors, the currents y can be characterized as the unique solution to the Kirchhoff equations AT y = f of minimum Euclidean norm.
-
Consider a country that imports steel and exports automobiles. The value per unit of cars exported is measured in units of thousands of dollars per car by the random variable X. The value per unit of...
-
What is the voir dire process?
-
On January 1, 2013, McLean Company makes the two following acquisitions. 1. Purchases land having a fair value of $300,000 by issuing a 5-year, zero-interest-bearing promissory note in the face...
-
What are the advantages and disadvantages to the opt-in versus the opt-out approaches to collecting personal information from the viewpoint of the customer? From the viewpoint of the organization...
-
PowerTap Utilities is planning to issue bonds with a face value of $1,000,000 and a coupon rate of 10 percent. The bonds mature in 10 years and pay interest semiannually every June 30 and December...
-
The benefits arising from the introduction of activity-based costing are likely to be greater where. i. overhead is a large proportion of total cost. ii. implementation costs are not high due to the...
-
The Summers Sporting Goods Shop presents the following data for two types of racquetball gloves, leather and fabric, for 19A and 19B. 19A 198 Units Per unit Amount Units Per unit Amount Sales: 12,000...
-
True or false: If A is complete, every generalized eigenvector is an ordinary eigenvector.
-
True or false: If Q I is a 4 4 orthogonal matrix, then Q has no real invariant subspaces.
-
Identify the ways in which an agency relationship may be terminated.
-
Differentiate between a heat engine and a heat sink.
-
What is a thermal reservoir?
-
Differentiate between a heat source and a heat sink.
-
What are the limitations of Carnot cycle?
-
What is a throttling process? State its characteristics?
-
Imagine that you're the lead negotiator for a company that's trying to buy a factory in Prague, the capital of the Czech Republic. Although you haven't spent much time in the country in the past...
-
Quality Chicken grows and processes chickens. Each chicken is disassembled into five main parts. Information pertaining to production in July 2012 is: Joint cost of production in July 2012 was $50. A...
-
Consider the two-dimensional "house" constructed out of bars, as in the accompanying picture. The bottom nodes are fixed. The width of the house is 3 units, the height of the vertical sides 1 unit,...
-
Answer Exercise 6.3.8 for the illustrated two- and three-dimensional houses. In the two-dimensional case, the width and total height of the vertical bars is 2 units, and the peak is an additional .5...
-
Let a = (a. b, c)T R3 be a fixed vector. Prove that the cross product map La[v] = a v, as defined in (5.2), is linear, and find its matrix representative.
-
Rockway Inc. issued bonds with a maturity amount of $2,000,000 and a maturity date ten years from the date of issue. If the bonds were issued at a premium, this indicates that Question 4 options: the...
-
All results with four decimal places Must use normal table Show all binomial calculations
-
You are also considering another project that has a physical life of 3 years; that is, themachinery will be totally worn out after 3 years. However, if the project were terminatedprior to the end of...
Study smarter with the SolutionInn App