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16. Practice constructing confidence intervals Suppose a data set of 30 observations (N=30) was analyzed using OLS to examine the factors influencing the participation rate of employees in a 401(k) retirement plan sponsored by their employer. The regression results are as follows, with standard errors in parentheses: prate = 80.1 + 5.6 mrate + 0.23 age + 0.0001 totemp (0.046) (3.0E-5) (0.85) (0.04) where prate = percentage of eligible workers with a 401(k) plan mrate = match rate for firm age = age of the 401(k) plan totemp = total number of employees at the firm R = 0.521 Based on the number of observations and parameters in the model, there are degrees of freedom. Suppose you would like to construct a 95% confidence interval around B1. To do this, you would need c, the value of the th percentile of the t- distribution (given the degrees of freedom). This confidence interval would be (Hint: The relevant value c is equal to 2.04.)

16. Practice constructing confidence intervals Suppose a data set of 30 observations (N=30) was analyzed using OLS to examine the factors influencing the participation rate of employees in a 401(k) retirement plan sponsored by their employer. The regression results are as follows, with standard errors in parentheses: prate = 80.1 + 5.6 mrate + 0.23 age + 0.0001 totemp (0.046) (3.0E-5) (0.85) (0.04) where prate = percentage of eligible workers with a 401(k) plan mrate = match rate for firm age = age of the 401(k) plan totemp = total number of employees at the firm R = 0.521 Based on the number of observations and parameters in the model, there are degrees of freedom. Suppose you would like to construct a 95% confidence interval around B1. To do this, you would need c, the value of the th percentile of the t- distribution (given the degrees of freedom). This confidence interval would be (Hint: The relevant value c is equal to 2.04.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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16. Practice constructing confidence intervals Suppose a data set of 30 observations (N=30) was analyzed using OLS to examine the factors influencing the participation rate of employees in a 401(k) retirement plan sponsored by their employer. The regression results are as follows, with standard errors in parentheses: prate = 80.1 + 5.6 mrate + 0.23 age + 0.0001 totemp (0.046) (0.85) (0.04) (3.0E-5) where prate = percentage of eligible workers with a 401(k) plan mrate = match rate for firm age = age of the 401(k) plan totemp = total number of employees at the firm R2 = 0.521 Based on the number of observations and parameters in the model, there are degrees of freedom. Suppose you would like to construct a 95% confidence interval around B1. To do this, you would need c, the value of the v th percentile of the t- distribution (given the degrees of freedom). This confidence interval would be . (Hint: The relevant value c is equal to 2.04.)
Transcribed Image Text:16. Practice constructing confidence intervals Suppose a data set of 30 observations (N=30) was analyzed using OLS to examine the factors influencing the participation rate of employees in a 401(k) retirement plan sponsored by their employer. The regression results are as follows, with standard errors in parentheses: prate = 80.1 + 5.6 mrate + 0.23 age + 0.0001 totemp (0.046) (0.85) (0.04) (3.0E-5) where prate = percentage of eligible workers with a 401(k) plan mrate = match rate for firm age = age of the 401(k) plan totemp = total number of employees at the firm R2 = 0.521 Based on the number of observations and parameters in the model, there are degrees of freedom. Suppose you would like to construct a 95% confidence interval around B1. To do this, you would need c, the value of the v th percentile of the t- distribution (given the degrees of freedom). This confidence interval would be . (Hint: The relevant value c is equal to 2.04.)
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