Regressor

$(1)$

$(2)$

$(3)$

long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$

College

$($Upper X $1$X$1)$

$5\mathrm{.}415\mathrm{.}41$

$$

$(0\mathrm{.}210\mathrm{.}21)$

$5\mathrm{.}435\mathrm{.}43$

$$

$(0\mathrm{.}210\mathrm{.}21)$

$5\mathrm{.}395\mathrm{.}39$

$$

$(0\mathrm{.}210\mathrm{.}21)$

Female

$($Upper X $2$X$2)$

negative $2\mathrm{.}612\mathrm{.}61$

$$

$(0\mathrm{.}200\mathrm{.}20)$

negative $2\mathrm{.}592\mathrm{.}59$

$$

$(0\mathrm{.}200\mathrm{.}20)$

negative $2\mathrm{.}592\mathrm{.}59$

$$

$(0\mathrm{.}200\mathrm{.}20)$

Age

$($Upper X $3$X$3)$

$0\mathrm{.}290\mathrm{.}29$

$$

$(0\mathrm{.}040\mathrm{.}04)$

$0\mathrm{.}290\mathrm{.}29$

$$

$(0\mathrm{.}040\mathrm{.}04)$

Northeast

$($Upper X $4$X$4)$

$0\mathrm{.}680\mathrm{.}68$

$$

$(0\mathrm{.}300\mathrm{.}30)$

Midwest

$($Upper X $5$X$5)$

$0\mathrm{.}590\mathrm{.}59$

$$

$(0\mathrm{.}280\mathrm{.}28)$

South

$($Upper X $6$X$6)$

negative $0\mathrm{.}270\mathrm{.}27$

$$

$(0\mathrm{.}260\mathrm{.}26)$

Intercept

$12\mathrm{.}5612\mathrm{.}56$

$(0\mathrm{.}140\mathrm{.}14)$

$4\mathrm{.}364\mathrm{.}36$

$(1\mathrm{.}041\mathrm{.}04)$

$3\mathrm{.}713\mathrm{.}71$

$$

$(1\mathrm{.}051\mathrm{.}05)$

long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$

Summary Statistics

long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$

$$F$-$statistic

for regional effects$=0$

$6\mathrm{.}466\mathrm{.}46$

SER

$6\mathrm{.}216\mathrm{.}21$

$6\mathrm{.}166\mathrm{.}16$

$6\mathrm{.}156\mathrm{.}15$

Upper R squaredR$2$

$0\mathrm{.}1740\mathrm{.}174$

$0\mathrm{.}1880\mathrm{.}188$

$0\mathrm{.}1920\mathrm{.}192$

n

$37003700$

$37003700$

$37003700$

long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$long dash$$

Part $2$

Using the regression results in column$(1)$:

The

t$-$statistic

for the

collegedash$$high

school earnings difference estimated from this regression is