Suppose an animal scientist, Dr. Dew believes that birth weight (in kg) explains the variationin the length of gestation (in days until birth) for various mammals. To support this fact, hecollected data and found out that when the birth weight was x =length of gestation was y =Hint: E;(xi – 2)² = 540, 916.8, E;(yi – 9)² = 195, 233, and E;(yi – ŷ)² = 181, 018.{60, 110, 44, 900, 107} the{122, 241, 61, 365, 617}. The fitted model was ĝ = 241.61+0.162x.a) Ignore the birth weight (x). If the length of gestation are independently and identicallydistributed (i.i.d.) with mean u and variance o?, what is the estimate for u and o?2,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) Bycomparison to your estimate in part (a), what does this tell you about this model?

We have birth weight as X variable and length of gestation as Y variable. On this context, y =…

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 = 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 {122, 241, 61, 365, 617}. The fitted model was ŷ = 241.61+0.162x. 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 o?, respectively?

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 = 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 {122, 241, 61, 365, 617}. The fitted model was ŷ = 241.61+0.162x. 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 o?, respectively?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

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 =
Hint: E;(xi – 2)² = 540, 916.8, E;(yi – 9)² = 195, 233, and E;(yi – ŷ)² = 181, 018.
{60, 110, 44, 900, 107} the
{122, 241, 61, 365, 617}. The fitted model was ĝ = 241.61+0.162x.
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 o?2,
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?

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