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. \([33.2, 45.6]\)
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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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. \([33.2, 45.6]\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0df43032-4a38-4e14-ba56-039065cf4a5e%2F29836f1b-b890-4c25-942d-e4e065c14788%2Fl3naky6_processed.jpeg&w=3840&q=75)
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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