Question: Based on the fitted regression model Y^=3+2xand a few other quantities (such as the sample size), we can compute a 95% confidence interval of E(Y|X=0)

Based on the fitted regression model Y^=3+2xand a few other quantities (such as the sample size), we can compute a 95% confidence interval of E(Y|X=0) and a 95% confidence interval at E(Y|X=1). We also know that Y=3.8. Which interval is wider? Please select the best answer.

Hint: The point (x,Y) is always on the fitted model obtained by the least square estimation method. To answer this question, first compute the value of x using the fitted model and Y=3.8

A. The interval of E(Y|X=0) is wider

B. The interval of E(Y|X=1) is wider

C. The two intervals have the same width

D. Cannot determine; not enough information

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