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?

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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?
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?
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