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Least-Squares Property According to the least-squares

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 34BB Chapter 10.3

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 34BB

Problem 34 BB

Least-Squares Property According to the least-squares property, the regression line minimizes the sum of the squares of the residuals. Refer to the data in Table.

a. Find the sum of squares of the residuals.

b. Show that the regression equation  results in a larger sum of squares of residuals.

Table Shoe Print Lengths and Heights of Males

Step-by-Step Solution:

Answer:

Step 1 of 1</p>

According to the least-squares property, the regression line minimizes the sum of the squares of the residuals. Refer to the data in Table.

a. The sum of squares of the residuals.

Shoe print(x)

Height(y)

xy

x2

29.7

175.3

5206.41

882.09

29.7

177.8

5280.66

882.09

31.4

185.4

5821.56

985.96

31.8

175.3

5574.54

1011.24

27.6

172.7

4766.52

761.76

SUM

150.2

886.5

26649.69

4523.14

AVERAGE

30.04

177.3

,

n = 5 , , ,

= = 1.7274

= 125.4089

Therefore,      

                     

Shoe print(x)

Height(y)

Predicted Y

 

(y-

29.7

175.3

176.7126662

1.995626

29.7

177.8

176.7126662

1.182295

31.4

185.4

179.6493352

33.07015

31.8

175.3

180.3403162

25.40479

27.6

172.7

173.0850162

0.148237

SUM

886.5

61.80109

Step 2 of 2

Chapter 10.3, Problem 34BB is Solved
Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

Since the solution to 34BB from 10.3 chapter was answered, more than 268 students have viewed the full step-by-step answer. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. This full solution covers the following key subjects: squares, sum, residuals, Table, regression. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. The full step-by-step solution to problem: 34BB from chapter: 10.3 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM. The answer to “Least-Squares Property According to the least-squares property, the regression line minimizes the sum of the squares of the residuals. Refer to the data in Table.a. Find the sum of squares of the residuals.________________b. Show that the regression equation results in a larger sum of squares of residuals.Table Shoe Print Lengths and Heights of Males” is broken down into a number of easy to follow steps, and 54 words.

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