The potential significance of a regression coefficient is evaluated by conducting a t-test. As discussed in the
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Question:
The potential significance of a regression coefficient is evaluated by conducting a t-test. As discussed in the lecture material, the formula is "t = b / SEb," where "b" is the regression coefficient and "SEb" is the standard error of the regression coefficient. The degrees of freedom (df) for this t-test are "N-2", where N equals the sample size. Now, imagine that N = 72, b = 3.7, and SEb = 1.24. Use the table below to find your critical t-value (conduct a two-tailed test at alpha = 0.02).
(a) What is the value of your obtained t (using the formula provided above)?
(b) What is the value of your critical t?
(c) Is the regression coefficient statistically significant? Why or why not?
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