MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
Bartleby Related Questions Icon

Related questions

bartleby

Concept explainers

Topic Video
Question

Can you please help with sub-parts C and D

Suppose an animal scientist, Dr. Dew believes that birth weight (in kg) explains the variation
in the length of gestation (in days until birth) for various mammals. To support this fact, he
collected data and found out that when the birth weight was x =
length of gestation was y = {122, 241, 61, 365, 617}. The fitted model was ŷ = 241.61+0.162x.
Hint: E,(x; – a)² = 540, 916.8, E; (yi – 9)² = 195, 233, and E;(yi – ŷ)² = 181, 018.
{60, 110, 44, 900, 107} the
a) Ignore the birth weight (x). If the length of gestation are independently and identically
distributed (i.i.d.) with mean u and variance o?, what is the estimate for u and o²,
respectively?
b) If you now use the birth weight (x) and assume that the length of gestation are (i.i.d.)
with variance o? and mean µ = Bo + B1X. (i) Compute the estimate for o?. (ii) By
comparison to your estimate in part (a), what does this tell you about this model?
c) Construct a 95% confidence interval for the slope parameter.
d) Interpret your confidence interval from part (c). What is your conclusion about the
relationship between birth weight and length of gestation?
expand button
Transcribed Image Text:Suppose an animal scientist, Dr. Dew believes that birth weight (in kg) explains the variation in the length of gestation (in days until birth) for various mammals. To support this fact, he collected data and found out that when the birth weight was x = length of gestation was y = {122, 241, 61, 365, 617}. The fitted model was ŷ = 241.61+0.162x. Hint: E,(x; – a)² = 540, 916.8, E; (yi – 9)² = 195, 233, and E;(yi – ŷ)² = 181, 018. {60, 110, 44, 900, 107} the a) Ignore the birth weight (x). If the length of gestation are independently and identically distributed (i.i.d.) with mean u and variance o?, what is the estimate for u and o², respectively? b) If you now use the birth weight (x) and assume that the length of gestation are (i.i.d.) with variance o? and mean µ = Bo + B1X. (i) Compute the estimate for o?. (ii) By comparison to your estimate in part (a), what does this tell you about this model? c) Construct a 95% confidence interval for the slope parameter. d) Interpret your confidence interval from part (c). What is your conclusion about the relationship between birth weight and length of gestation?
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Statistics
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.
Similar questions
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman