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Question 3: a. Write R code to simulate n observations (X, Y) from the model: X~ N(0,5), Y|X~ N(2X +3,3). (Hint: use rnorm to generate random variables from the normal distri- bution. b. Simulate 50 datasets for n = 30, and, for each dataset, fit a regression model (Y|X = Bo+BX+e). Make a histogram of the 50 estimates of 3₁. What are the sample mean and sample variance of these 50 estimates?

Question 3: a. Write R code to simulate n observations (X, Y) from the model: X~ N(0,5), Y|X~ N(2X +3,3). (Hint: use rnorm to generate random variables from the normal distri- bution. b. Simulate 50 datasets for n = 30, and, for each dataset, fit a regression model (Y|X = Bo+BX+e). Make a histogram of the 50 estimates of 3₁. What are the sample mean and sample variance of these 50 estimates?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 5EA
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Question 3: a. Write R code to simulate n observations (X,Y) from the model: X~ N(0,5), Y|X- N (2X +3,3). (Hint: use rnorm to generate random variables from the normal distri- bution. b. Simulate 50 datasets for n = 30, and, for each dataset, fit a regression model (Y|X = Bo+ BiX+c). Make a histogram of the 50 estimates of 3₁. What are the sample mean and sample variance of these 50 estimates?
Transcribed Image Text:Question 3: a. Write R code to simulate n observations (X,Y) from the model: X~ N(0,5), Y|X- N (2X +3,3). (Hint: use rnorm to generate random variables from the normal distri- bution. b. Simulate 50 datasets for n = 30, and, for each dataset, fit a regression model (Y|X = Bo+ BiX+c). Make a histogram of the 50 estimates of 3₁. What are the sample mean and sample variance of these 50 estimates?
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