How do you get the standard error mean for the number in the parenthesis for eac

Question

How do you get the standard error mean for the number in the parenthesis for each number that is posted in this question? Such as 7311.17 has the number in parenthsis (2058.63). I would like to have a step by step example please thank you.

l) The cost of attending your college has once again gone up. Although you have been told that education is investment in human capital, which carries a return of roughly 10% a year, you (and your parents) are not pleased. One of the administrators at your university/college does not make the situation better by telling you that you pay more because the reputation of your institution is better than that of others. To investigate this hypothesis, you collect data randomly for 100 national universities and liberal arts colleges from the 2000-2001 US. News and World Report anmual rankings. Next you perform the following regression Cost 7,311.17 3,985.20x Reputation -0.20XSize (2,058.63) (664.58) (0.13) 8,406.79XDpriv 416.38 XDlibart religion 2,154.85 (1,121.92) (1,007.86) R 0.72, SER 3,773.35 where Cost is Tuition. Fees Room and Board in dollars, Reputation is the index used in U.S. News and World Report (based on a survey of university presidents and chief academic officers), which ranges from l marginal" to 5 distinguished''), Size is the number of undergraduate students and Dpriv, Dlibart, and Dreligion are binary variables indicating whether the institution is private, a liberal arts college, and has a religious affiliation. The numbers in parentheses are heteroskedasticity-robust standard errors

Explanation / Answer

The numbers in the parenthesis are the standard error for the mean.

For example the standard error for intercept is 2058.63.

The standard error for coefficient of variable Reputation is 664.58.

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