15 20 25 30 (c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.) r= 2²= What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.) % (d) If a female baby weighs 17 pounds at 1 year, what do you predict she will weigh at 30 years of age? (Round your answer to two decimal places.) lb

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
130
120
110
10
15
20
25
30
X
130-
120
110
10
15
20
25
30
What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)
%
X
(c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.)
r=
2=
(d) If a female baby weighs 17 pounds at 1 year, what do you predict she will weigh at 30 years of age? (Round your answer to two decimal places.)
lb
Transcribed Image Text:130 120 110 10 15 20 25 30 X 130- 120 110 10 15 20 25 30 What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.) % X (c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.) r= 2= (d) If a female baby weighs 17 pounds at 1 year, what do you predict she will weigh at 30 years of age? (Round your answer to two decimal places.) lb
Modern medical practice tells us not to encourage babies to become too fat. Is there a positive correlation between the weight x of a 1-year old baby and the weight y of the mature adult (30 years
old)? A random sample of medical files produced the following information for 14 females.
19
24
21
23
20
x (lb)
y (lb) 130 121 124 123 130 120
USE SALT
y =
b=
9=
Σχ = 294; Σy = 1,778; Σx2 = 6,308; Σy2 = 226,896; Σxy = 37,517
(a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your answers for least-squares estimates to three decimal places.)
x=
160
(b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram.
y
150
140
130
15 25
145
120
21 17 24 26 22 18 19
130 130 130 130 140 110 115
110
y
160
150
T
140
130
120
110
Transcribed Image Text:Modern medical practice tells us not to encourage babies to become too fat. Is there a positive correlation between the weight x of a 1-year old baby and the weight y of the mature adult (30 years old)? A random sample of medical files produced the following information for 14 females. 19 24 21 23 20 x (lb) y (lb) 130 121 124 123 130 120 USE SALT y = b= 9= Σχ = 294; Σy = 1,778; Σx2 = 6,308; Σy2 = 226,896; Σxy = 37,517 (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your answers for least-squares estimates to three decimal places.) x= 160 (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. y 150 140 130 15 25 145 120 21 17 24 26 22 18 19 130 130 130 130 140 110 115 110 y 160 150 T 140 130 120 110
Expert Solution
steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman