A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 5 children and measures their height and head circumference. The data are summarized below. Complete parts (a) through () below. Height (inches), x Head Circumference (inches), y 17.5 27.5 27.75 25.5 25 260 16.9 17.3 17.6 17.1 (a) Treating height as the explanatory variable, x, use technology to determine the estimates of y and B1- lo bo = 11.2571 (Round to four decimal places as needed.) P sb, = 0.2286 (Round to four decimal places as needed.) (b) Use technology to compute the standard error of the estimate, s . S, = 0.0756 (Round to four decimal places as needed.) (c) A normal probability plot suggests that the residuals are normally distributed. Use technology to determine Sp = 0.0310 (Round to four decimal places as needed.) (d) A normal probability plot suggests that the residuals are normally distributed. Test whether a linear relation exists between height and head circumference at the a=0.01 level of significance. State the null and allemative hypotheses for this test. Choose the correct answer below. O A. Họ: Po "0 H: la #0 OB. Ho: lo =0 H: lo >0 c. Họ: "0 H: #0 O D. Ho: "0 H: >0 Determine the P.value for this hypolhesis test. P-value = 0.005 (Round to three decimal places as needed.) What is the conclusion that can be drawn? A. Reject H, and conclude that a linear relation exists between a childs height and head circumference at the level of significance a =0.01. O B. Reject Hp and conclude that a linear relation does not exist between a child's height and head circumference at the level of significance a = 0.01. OC. Do not reject Hy and conclude that a linear relation does not exist between a child's height and head circumference at the level of significance a =0.01. O D. Do not reject Hg and conclude that a linear relation exists between a child's height and head circumference at the level of significance a =0.01. (e) Use technology to construct a 95% confidence interval about the slope of the true least-squares regression line. Lower bound: 0.130 Upper bound: 0.327 (Round to three decimal places as needed.) (f) Suppose a child has a height of 26.5 inches. What would be a good guess for the child's head circumference? A good estimate of the child's head circumference would be 17.31 inches. (Round to two decimal places as needed.)
A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 5 children and measures their height and head circumference. The data are summarized below. Complete parts (a) through () below. Height (inches), x Head Circumference (inches), y 17.5 27.5 27.75 25.5 25 260 16.9 17.3 17.6 17.1 (a) Treating height as the explanatory variable, x, use technology to determine the estimates of y and B1- lo bo = 11.2571 (Round to four decimal places as needed.) P sb, = 0.2286 (Round to four decimal places as needed.) (b) Use technology to compute the standard error of the estimate, s . S, = 0.0756 (Round to four decimal places as needed.) (c) A normal probability plot suggests that the residuals are normally distributed. Use technology to determine Sp = 0.0310 (Round to four decimal places as needed.) (d) A normal probability plot suggests that the residuals are normally distributed. Test whether a linear relation exists between height and head circumference at the a=0.01 level of significance. State the null and allemative hypotheses for this test. Choose the correct answer below. O A. Họ: Po "0 H: la #0 OB. Ho: lo =0 H: lo >0 c. Họ: "0 H: #0 O D. Ho: "0 H: >0 Determine the P.value for this hypolhesis test. P-value = 0.005 (Round to three decimal places as needed.) What is the conclusion that can be drawn? A. Reject H, and conclude that a linear relation exists between a childs height and head circumference at the level of significance a =0.01. O B. Reject Hp and conclude that a linear relation does not exist between a child's height and head circumference at the level of significance a = 0.01. OC. Do not reject Hy and conclude that a linear relation does not exist between a child's height and head circumference at the level of significance a =0.01. O D. Do not reject Hg and conclude that a linear relation exists between a child's height and head circumference at the level of significance a =0.01. (e) Use technology to construct a 95% confidence interval about the slope of the true least-squares regression line. Lower bound: 0.130 Upper bound: 0.327 (Round to three decimal places as needed.) (f) Suppose a child has a height of 26.5 inches. What would be a good guess for the child's head circumference? A good estimate of the child's head circumference would be 17.31 inches. (Round to two decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 5 children and measures their
height and head circumference. The data are summarized below. Complete parts (a) through () below.
Height (inches), x
Head Circumference (inches), y 17.5
27.5 27.75
25.5
25
260
16.9 17.3
17.6
17.1
(a) Treating height as the explanatory variable, x, use technology to determine the estimates of y and B1-
lo bo = 11.2571 (Round to four decimal places as needed.)
P sb, = 0.2286 (Round to four decimal places as needed.)
(b) Use technology to compute the standard error of the estimate, s .
S, = 0.0756 (Round to four decimal places as needed.)
(c) A normal probability plot suggests that the residuals are normally distributed. Use technology to determine Sp
= 0.0310
(Round to four decimal places as needed.)
(d) A normal probability plot suggests that the residuals are normally distributed. Test whether a linear relation exists between height and head circumference at the
a=0.01 level of significance. State the null and allemative hypotheses for this test.
Choose the correct answer below.
O A. Họ: Po "0
H: la #0
OB. Ho: lo =0
H: lo >0
c. Họ: "0
H: #0
O D. Ho: "0
H: >0
Determine the P.value for this hypolhesis test.
P-value = 0.005 (Round to three decimal places as needed.)
What is the conclusion that can be drawn?
A. Reject H, and conclude that a linear relation exists between a childs height and head circumference at the level of significance a =0.01.
O B. Reject Hp and conclude that a linear relation does not exist between a child's height and head circumference at the level of significance a = 0.01.
OC. Do not reject Hy and conclude that a linear relation does not exist between a child's height and head circumference at the level of significance a =0.01.
O D. Do not reject Hg and conclude that a linear relation exists between a child's height and head circumference at the level of significance a =0.01.
(e) Use technology to construct a 95% confidence interval about the slope of the true least-squares regression line.
Lower bound: 0.130
Upper bound: 0.327
(Round to three decimal places as needed.)
(f) Suppose a child has a height of 26.5 inches. What would be a good guess for the child's head circumference?
A good estimate of the child's head circumference would be 17.31 inches.
(Round to two decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffd8bdaba-753f-4f8c-80e3-c790b2463ce0%2F201a0442-2b09-4785-9e84-d9d5d3976290%2Fgg5ep9qr_processed.png&w=3840&q=75)
Transcribed Image Text:A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 5 children and measures their
height and head circumference. The data are summarized below. Complete parts (a) through () below.
Height (inches), x
Head Circumference (inches), y 17.5
27.5 27.75
25.5
25
260
16.9 17.3
17.6
17.1
(a) Treating height as the explanatory variable, x, use technology to determine the estimates of y and B1-
lo bo = 11.2571 (Round to four decimal places as needed.)
P sb, = 0.2286 (Round to four decimal places as needed.)
(b) Use technology to compute the standard error of the estimate, s .
S, = 0.0756 (Round to four decimal places as needed.)
(c) A normal probability plot suggests that the residuals are normally distributed. Use technology to determine Sp
= 0.0310
(Round to four decimal places as needed.)
(d) A normal probability plot suggests that the residuals are normally distributed. Test whether a linear relation exists between height and head circumference at the
a=0.01 level of significance. State the null and allemative hypotheses for this test.
Choose the correct answer below.
O A. Họ: Po "0
H: la #0
OB. Ho: lo =0
H: lo >0
c. Họ: "0
H: #0
O D. Ho: "0
H: >0
Determine the P.value for this hypolhesis test.
P-value = 0.005 (Round to three decimal places as needed.)
What is the conclusion that can be drawn?
A. Reject H, and conclude that a linear relation exists between a childs height and head circumference at the level of significance a =0.01.
O B. Reject Hp and conclude that a linear relation does not exist between a child's height and head circumference at the level of significance a = 0.01.
OC. Do not reject Hy and conclude that a linear relation does not exist between a child's height and head circumference at the level of significance a =0.01.
O D. Do not reject Hg and conclude that a linear relation exists between a child's height and head circumference at the level of significance a =0.01.
(e) Use technology to construct a 95% confidence interval about the slope of the true least-squares regression line.
Lower bound: 0.130
Upper bound: 0.327
(Round to three decimal places as needed.)
(f) Suppose a child has a height of 26.5 inches. What would be a good guess for the child's head circumference?
A good estimate of the child's head circumference would be 17.31 inches.
(Round to two decimal places as needed.)
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