(C) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.) What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.) (d) Test the claim that the population corelation coefficient p is positive at the 1% level of significance. (Round your test statistic to three decimal places.) Find or estimate the P-value of the test statistic. O P-value > 0.250 O 0.125 < P-value < 0.250 O 0.100 < P-value < 0.125 O 0.075 < P-value < 0.100 O 0.050 < P-value < 0.075 O 0.025 < P-value < 0.050 O 0.010 < P-value < 0.025 O 0.005 < P-value < 0.010 O 0.0005 < P-value < 0.005 O P-value < 0.0005 Conclusion O Reject the null hypothesis. There is sufficient evidence that p > 0. O Reject the null hypothesis. There is insufficient evidence that p > 0. O Fail to reject the null hypothesis. There is sufficient evidence that p > 0. O Fall to reject the null hypothesis. There is insufficient evidence that p > 0. (e) If a female baby weighs 19 pounds at 1 year, what do you predict she will weigh at 30 years of age? (Round your answer to two decimal places.) Ib

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section: Chapter Questions
Problem 8P: Noise and Intelligibility Audiologists study the intelligibility of spoken sentences under different...
icon
Concept explainers
Topic Video
Question

HI could you fill this out for me?

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 (Ib)
y (Ib)
In this setting we have Ex = 297, Ey = 1767, Ex
22
24
21
23
20
130
15
25
21
17
24
26
22
18
19
123
128
116
120
120
145
130
130
130
130
140
110
115
6431, Ey? = 224,219, and Exy = 37,684.
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 (Ib) y (Ib) In this setting we have Ex = 297, Ey = 1767, Ex 22 24 21 23 20 130 15 25 21 17 24 26 22 18 19 123 128 116 120 120 145 130 130 130 130 140 110 115 6431, Ey? = 224,219, and Exy = 37,684.
(C) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.)
What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)
%
(d) Test the claim that the population correlation coefficient p is positive at the 1% level of significance. (Round your test statistic to three decimal places.)
t =
Find or estimate the P-value of the test statistic.
O P-value > 0.250
O 0.125 < P-value < 0.250
O 0.100 < P-value < 0.125
O 0.075 < P-value < 0.100
O 0.050 < P-value < 0.075
O 0.025 < P-value < 0.050
O 0.010 < P-value < 0.025
O 0.005 < P-value < 0.010
O 0.0005 < P-value < 0.005
O P-value < 0.0005
Conclusion
O Reject the null hypothesis. There is sufficient evidence that p> 0.
O Reject the null hypothesis. There is insufficient evidence that p> 0.
O Fail to reject the null hypothesis. There is sufficient evidence that p> 0.
O Fail to reject the null hypothesis. There is insufficient evidence that p> 0.
(e) If a female baby weighs 19 pounds at 1 year, what do you predict she will weigh at 30 years of age? (Round your answer to two decimal places.)
Ib
(f) Find S.. (Round your answer to two decimal places.)
Se =
(9) Find a 95% confidence interval for weight at age 30 of a female who weighed 19 pounds at 1 year of age. (Round your answers to two decimal places.)
lower limit
Ib
upper limit
Ib
(h) Test the claim that the slope ß of the population least-squares line is positive at the 1% level of significance. (Round your test statistic to three decimal places.)
t=
Transcribed Image Text:(C) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.) What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.) % (d) Test the claim that the population correlation coefficient p is positive at the 1% level of significance. (Round your test statistic to three decimal places.) t = Find or estimate the P-value of the test statistic. O P-value > 0.250 O 0.125 < P-value < 0.250 O 0.100 < P-value < 0.125 O 0.075 < P-value < 0.100 O 0.050 < P-value < 0.075 O 0.025 < P-value < 0.050 O 0.010 < P-value < 0.025 O 0.005 < P-value < 0.010 O 0.0005 < P-value < 0.005 O P-value < 0.0005 Conclusion O Reject the null hypothesis. There is sufficient evidence that p> 0. O Reject the null hypothesis. There is insufficient evidence that p> 0. O Fail to reject the null hypothesis. There is sufficient evidence that p> 0. O Fail to reject the null hypothesis. There is insufficient evidence that p> 0. (e) If a female baby weighs 19 pounds at 1 year, what do you predict she will weigh at 30 years of age? (Round your answer to two decimal places.) Ib (f) Find S.. (Round your answer to two decimal places.) Se = (9) Find a 95% confidence interval for weight at age 30 of a female who weighed 19 pounds at 1 year of age. (Round your answers to two decimal places.) lower limit Ib upper limit Ib (h) Test the claim that the slope ß of the population least-squares line is positive at the 1% level of significance. (Round your test statistic to three decimal places.) t=
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 8 steps

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL