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Calculating probability from linear regression parameters


New member
May 24, 2021
Screenshot 2021-05-25 at 02.28.24.png

I'm a bit stuck on how to calculate the probability in part b from the linear regression parameters.
I tried plugging the parameter values into the linear regression model: Y =β0+β1X+ε, ε∼N(0,σ)
So P(Y=y| X=40) = 2.85 + 0.07 * 40 + 1^2
P(Y=y|X=40) = 5.65
But I don't think this is the value I want. Any ideas where I'm going wrong?