We are told that a 95% prediction interval for a response variable, \( y \), is \([23.2, 35.6]\) from a simple regression on a sample of \( n = 100 \) observations at \( x^* = 10 \). Which of the following is a reasonable estimate for the confidence interval for \( \mu_y \) at \( x^* = 10 \)? A. \([13.2, 45.6]\) B. \([24.2, 27.8]\) C. \([28.6, 30.2]\) D. \([33.2, 45.6]\)

MATLAB: An Introduction with Applications
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We are told that a 95% prediction interval for a response variable, \( y \), is \([23.2, 35.6]\) from a simple regression on a sample of \( n = 100 \) observations at \( x^* = 10 \). Which of the following is a reasonable estimate for the confidence interval for \( \mu_y \) at \( x^* = 10 \)?

A. \([13.2, 45.6]\)

B. \([24.2, 27.8]\)

C. \([28.6, 30.2]\)

D. \([33.2, 45.6]\)
Transcribed Image Text:We are told that a 95% prediction interval for a response variable, \( y \), is \([23.2, 35.6]\) from a simple regression on a sample of \( n = 100 \) observations at \( x^* = 10 \). Which of the following is a reasonable estimate for the confidence interval for \( \mu_y \) at \( x^* = 10 \)? A. \([13.2, 45.6]\) B. \([24.2, 27.8]\) C. \([28.6, 30.2]\) D. \([33.2, 45.6]\)
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