Based on a sample of n=25, the least-squares method was used to develop the prediction line Yi=8+3Xi. In addition, SYX=2.5, X=7, and ∑i=1nXi−X2=25. a. Construct a 90% confidence interval estimate of the population mean response for X=5.

Based on a sample of n=25, the least-squares method was used to develop the prediction line Yi=8+3Xi. In addition, SYX=2.5, X=7, and ∑i=1nXi−X2=25. a. Construct a 90% confidence interval estimate of the population mean response for X=5.

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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Question

Based on a sample of

n=25,

the least-squares method was used to develop the prediction line

Yi=8+3Xi.

In addition,

SYX=2.5,

X=7,

and

∑i=1nXi−X2=25.

a. Construct a

90%

confidence interval estimate of the population mean response for X=5.

enter your response here≤μY|X=5≤enter your response here

(Round to two decimal places as needed.)

Definition Definition Method in statistics by which an observation’s uncertainty can be quantified. The main use of interval estimating is for describing a range that is made by transforming a point estimate by determining the range of values, or interval within which the population parameter is likely to fall. This range helps in measuring its precision.

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