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.

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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.6: Regression And Median-fit Lines

Problem 4GP

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