How do I set the problems below in R? Use the rnorm function in R to...

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How do I set the problems below in R? Use the rnorm function in R to generate 100 samples of X ~N(-1.0,2.5) (for help use ?rnorm ) and for each draw, simulate Yǐ from the simple linear regression model = 2.5+2.0x,+티, where e, N N(0,3 ).

(iii) What is the marginal sample mean for Y? What is the true marginal mean?

math Statistics-And-Probability

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Answer 1

Answer #1

Sample marginal mean of y is 0.5523

True marginal mean

We use additive property of normal distribution

Hence

Mean=2.5+2*(-1)+0 =0.50

For sample mean R code given below

07:25 AM https://rextester.com Language: R X rnorm 100-1.0,2.5) e rnorm(100,0,3) y-2.5+2*x+e mean(y) Run it (Shift+Enter) Sav

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Answer 2

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How do I set the problems below in R?

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