reg logwage educ Source SS df MS Number of obs = 526 F(1, 524) = 119.58 Model 27.5606288 1 27.5606288 Prob > F = 0.0000 Residual 120.769123 524 .230475425 R-squared = 0.1858 Adj R-squared = 0.1843 Total 148.329751 525 .28253286 Root MSE = .48008 logwage Coefficient Std. err. t P>|t| [95% conf. interval] educ _cons .0827444 .5837727 .0075667 .0973358 10.94 0.000 .0678796 .0976091 6.00 0.000 .3925563 .7749891 Download the dataset "wage.dta" from the Canvas page. Generate a variable for log wage using the command: gen logwage = log(wage). regress logwage on educ using the command: reg logwage educ. The coefficient on educ should be .0827444. What is the standard error? Report to 7 decimal places. 0.0075667 The following equality relies on which key assumption? (xi) n_ - x) var(u|x) = o -1 (xi ) SLR1: population regression function is linear in parameters SLR2: data are a random sample from the population SLR4: zero conditional mean SLR5: homoskedasticity