Modern medical practice tells us not to encourage babies to become too fat. Is there a positive correlation between the weight 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. x (lb) 22 22 y (lb) 126 USE SALT y= be 9m x=300: Dy=1.774; ²6.582: 2225,870: Exy - 38.188 (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for and y to bwo decimal places. Round your answers for least-squares estimates to three decimal places.) (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. y 160 150 140 Le 130 120 110 O 10 y 160 130 140 130 120 27 20 122 122 124 130 110 O ¹10 15 20 15 24 26 22 19 15 25 1 17 120 145 130 130 130 130 140 110 115 25 20 25 پہر پہر 160 130 140 La 130 120 30 110 O ¹10 160 150 1:40 130 120 110 15 10 15 20 25 30 O (c) Find the sample correlation coefficient and the coefficient of determination. (Round your answers to three decimal places.) 2 what percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.) IN (d) If a female baby weighs 21 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 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. x (lb) 22 22 y (lb) 126 USE SALT y= be 9m x=300: Dy=1.774; ²6.582: 2225,870: Exy - 38.188 (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for and y to bwo decimal places. Round your answers for least-squares estimates to three decimal places.) (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. y 160 150 140 Le 130 120 110 O 10 y 160 130 140 130 120 27 20 122 122 124 130 110 O ¹10 15 20 15 24 26 22 19 15 25 1 17 120 145 130 130 130 130 140 110 115 25 20 25 پہر پہر 160 130 140 La 130 120 30 110 O ¹10 160 150 1:40 130 120 110 15 10 15 20 25 30 O (c) Find the sample correlation coefficient and the coefficient of determination. (Round your answers to three decimal places.) 2 what percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.) IN (d) If a female baby weighs 21 pounds at 1 year what do you predict she will weigh at 30 years of age? (Round your answer to two decimal places.) lb
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
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.
x (lb) 22
27 22 22
20 15 25
122 122 124 130 120 145
21 17 24 26 22 18 19
130 130 130 130 140 110 115
y (lb)
126
Ex = 300; Ey = 1,774; Ex² = 6,582; y2 = 225,870; Exy = 38,188
(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=
y=
b=
ŷ=
USE SALT
(b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram.
y
y
160
150
150
140
140
La La
130
130
120
120
160
110
Submit Answer
O
160
y
150
140
130
120
110
O
10
10
15
20
15
25
20
30
25
110
30
O
y
160
پیر پیر
150
140
130
10
120
110
15
O 10
20
15
25
20
25
30
What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)
%
(c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.)
r=
,² = |
30
(d) If a female baby weighs 21 pounds at 1 year, what do you predict she will weigh at 30 years of age? (Round your answer to two decimal places.)
lb
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