For a given probability content and the population standard deviation, the larger the sample size n, the narrower the Confidence interval for the population mean. Ceteris paribus, the estimated value of the intercept term ₁ does not influence the width of the confidence interval for 31. For a given probability content and the population standard deviation, the larger the sample size n, the wider the Confidence interval for the population mean. For a given estimate of a regression coefficient ; and its standard error (SE (₁) ,a 95% confidence interval is wider than a 90% confidence interval. Ceteris paribus, the larger the slope coefficient, the wider the confidence interval for B₂. n a model WITH intercept, for a given level of significance and sample size, the smaller the standard deviation of u¡ (σµ), the wider the confidence interval for the intercept term. For a given estimate of a regression coefficient ; and its standard error (SE (₁) , a 99% confidence interval is marrower than a 90% confidence interval. n a model without intercept, for a given level of significance and sample size, the larger the standard deviation of u¡ (σµ), the wider the confidence interval for the slope coefficient.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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For a given probability content and the population standard deviation, the larger the sample size n, the narrower the
confidence interval for the population mean.
Ceteris paribus, the estimated value of the intercept term ₁ does not influence the width of the confidence interval for
B1.
For a given probability content and the population standard deviation, the larger the sample size n, the wider the
confidence interval for the population mean.
For a given estimate of a regression coefficient ; and its standard error (SE (ß;)), a 95% confidence interval is
wider than a 90% confidence interval.
Ceteris paribus, the larger the slope coefficient, the wider the confidence interval for B₂.
In a model WITH intercept, for a given level of significance and sample size, the smaller the standard deviation of u; (ou),
the wider the confidence interval for the intercept term.
For a given estimate of a regression coefficient ; and its standard error (SE (ß;)), a 99% confidence interval is
narrower than a 90% confidence interval.
In a model without intercept, for a given level of significance and sample size, the larger the standard deviation of u¡ (ou),
the wider the confidence interval for the slope coefficient.
Transcribed Image Text:For a given probability content and the population standard deviation, the larger the sample size n, the narrower the confidence interval for the population mean. Ceteris paribus, the estimated value of the intercept term ₁ does not influence the width of the confidence interval for B1. For a given probability content and the population standard deviation, the larger the sample size n, the wider the confidence interval for the population mean. For a given estimate of a regression coefficient ; and its standard error (SE (ß;)), a 95% confidence interval is wider than a 90% confidence interval. Ceteris paribus, the larger the slope coefficient, the wider the confidence interval for B₂. In a model WITH intercept, for a given level of significance and sample size, the smaller the standard deviation of u; (ou), the wider the confidence interval for the intercept term. For a given estimate of a regression coefficient ; and its standard error (SE (ß;)), a 99% confidence interval is narrower than a 90% confidence interval. In a model without intercept, for a given level of significance and sample size, the larger the standard deviation of u¡ (ou), the wider the confidence interval for the slope coefficient.
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