Suppose a data set of 40 observations (n=40) 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 = 7992+ 1.6mrate+ 0.044, age +0.0001 totemp (2.0e-5) prate-percentage of eligible workers with a 401(k) plan * mate-match rate for firm age age of the 401(k) plan .totemp-total number of employees at the firm ·r"-0,498 degrees of freedom. based on the number of observations and parameters in the model, there are hint: the relevant value c is equal to 2.70. suppose you would like to construct a 99% confidence interval around β1. to do this, you would need c, the value of the th percentile of the t-disribution (given the degrees of freedom). this confidence interval would be