Show that the sum of the squares of the distances from a point P (c, d) to n fixed points (a 1 , b 1 ), ,(a n , b n ) is minimized when c is the average of the x coordinates a i and d is the average of the y coordinates b i ...

First we must form the sum of the squares of the distances from a point Pcd to ...

Show that the sum of the squares of the distances from a point P = (c, d)

Question:

Show that the sum of the squares of the distances from a point P = (c, d) to n fixed points (a₁, b₁), . . . ,(a_n, b_n) is minimized when c is the average of the x-coordinates a_iand d is the average of the y-coordinates b_i.

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

Step by Step Answer:

Related Book For book-img-for-question

Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

See More Books

Question Posted: Jan 16, 2024 10:00 AM

See More Questions

Davida purchased a simple ordinary annuity that earns 2.4% annual interest. She will receive monthly payments of $250 over 10 years. What is the present value of her annuity?
Show that E(X) = np when X is a binomial random variable. [First express E(X) as a sum with lower limit x = 1. Then factor out np, let y = x - 1 so that the sum is from y = 0 to y = n - 1, and show...
The least squares regression line is calculated so that the sum of the squares of the vertical distances from each data point to the line is minimized. Discuss?
Compiler Error says main must return int. Why? I just need tomake this code work. Thats all. COMPILER :: gmichel@ubuntu:~/Desktop/CS302REDO/Project6$ g++ -Wall-std=c++11 pro6.cpp -o project...
Steve Allen invested $10,000 today in a fund that earns 8% compounded annually. To what amount will the investment grow in 3 years? To what amount would the investment grow in 3 years if the fund...
Online retailers want customers to trust their websites and want to alleviate any concerns potential customers may have about privacy and security. In a study investigating the factors that affect...
Journalize entries for employee fringe benefits, including vacation pay and pensions. AppendixLO1
Some people suggest that the most effective organizations have the strongest cultures. What do we mean by the strength of organizational culture, and what possible problems are there with a strong...
Net The totals from the first payroll of the year are shown below. Total FICA FICA FIT Earnings OASDI HI W/H $36,195.10 $2,244.10 $524.83 $6,515.00 State Tax Union Dues Pay $361.95 $500.00 $...
Show that the rectangular box (including the top and bottom) with fixed volume V = 27 m 3 and smallest possible surface area is a cube (Figure 25). X y Z
Find the point on the plane z = x + y + 1 closest to the point P = (1, 0, 0). Minimize the square of the distance.
Use the Table of Integrals on Reference Pages 610 to evaluate the integral. V2y? 3 dy y?
4. Write short notes on Wiener Filtering.
1.Explain Histogram processing
2. Explain Spatial Filtering ?
3. Explain the Geometric Transformations used in image restoration. 4.Describe homomorphic filtering
5.Explain the different Noise Distribution in detail. UNIT I V 1. What is segmentation? 2. Write the applications of segmentation. 3. What are the three types of discontinuity in digital image? 4....
Find c such that f (x) = -0.2x2 - 3x + c has a maximum value of -225.
Find the volume of the described solid S. A frustum of a right circular cone with height h, lower base radius R, and top radius r -r- --R
Find the limit. lim (5x + 6)/2
Find the limit. lim (15 x) 3 3/2 -3
Find the limit. x + x + 2 lim x - 9
DISCUSSION ACTIVITY All jurisdictions have legislation protecting seniority and benefits for qualified employees who are members of the Canadian Forces Reserves and who are deployed for active...
Firm J has net income of $90,160, sales of $980,000, and average total assets of $490,000. Firm J has net income of $90,160, sales of $980,000, and average total assets of $490,000. Required:...
Read Chapter 5 and the Tyco case and identify some of the signals of the misuse of acquisitions or merger reserves. How could these signals have helped the users of Tyco's financial statements...

Show that the sum of the squares of the distances from a point P = (c, d)

Question:

Step by Step Answer:

First we must form the sum of the squares of the distances from a point Pcd to ...View the full answer

Calculus

Students also viewed these Mathematics questions