A simple regression analysis linking dependent variable y to independent variable x is conducted with 25 observations.The value of F_stat used to test the $\beta$= 0 null hypothesis turns out to be 12.7.The value of t_stat for the x coefficient is A)15 B)3.56 C)12.7 D)161.29 E)cannot be determined from the information given

Question

Quizplus · Accepted Answer

The t-statistic for the x coefficient can be derived from the F-statistic in a simple linear regression with one independent variable using the relationship $ t^2 = F $. Therefore, $ t = \sqrt{12.7} \approx 3.56 $.

A Simple Regression Analysis Linking Dependent Variable Y to Independent β\betaβ

A Simple Regression Analysis Linking Dependent Variable Y to Independent $\beta$