Least-Squares Property According to the least-squares

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

Problem 34BB Chapter 10.3

Elementary Statistics | 12th Edition

  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

4 5 0 316 Reviews
23
0
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: 12th
Author: Mario F. Triola
ISBN: 9780321836960

Since the solution to 34BB from 10.3 chapter was answered, more than 256 students have viewed the full step-by-step answer. Elementary Statistics was written by Sieva Kozinsky and is associated to the ISBN: 9780321836960. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12th. 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 Sieva Kozinsky, 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.

×
Log in to StudySoup
Get Full Access to Elementary Statistics - 12th Edition - Chapter 10.3 - Problem 34bb

Forgot password? Reset password here

Join StudySoup for FREE
Get Full Access to Elementary Statistics - 12th Edition - Chapter 10.3 - Problem 34bb
Join with Email
Already have an account? Login here
Reset your password

I don't want to reset my password

Need help? Contact support

Need an Account? Is not associated with an account
Sign up
We're here to help

Having trouble accessing your account? Let us help you, contact support at +1(510) 944-1054 or support@studysoup.com

Got it, thanks!
Password Reset Request Sent An email has been sent to the email address associated to your account. Follow the link in the email to reset your password. If you're having trouble finding our email please check your spam folder
Got it, thanks!
Already have an Account? Is already in use
Log in
Incorrect Password The password used to log in with this account is incorrect
Try Again

Forgot password? Reset it here