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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?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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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?
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 = 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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