A professor of mathematics teaches at a catholic school and at a public school. He wants to know whether attending a catholic school leads to higher grades. He collected data from 7,430 students from both school's types. Considering this information, please answer the following questions: a) How can you interpret the OLS outcome on whether the child attended a catholic school (cathhs) is important to explain students' grade? Source Model Residual Total SS cathhs lfaminc motheduc fatheduc 143098.058 521610.985 664709.043 df math12 Coefficient Std. err. -5.226717 black hispan -1.221689 asian 3.28341 female _cons -1.066021 16.72931 8 17887.2573 7,421 70.2885036 1.623158 .4106669 1.447696 .1431147 .7345401 .0613988 .832485 MS 7,429 89.4749015 t Number of obs = F(8, 7421) Prob > F R-squared Adj R-squared Root MSE P>|t| 3.95 0.000 10.12 0.000 11.96 0.000 15.00 0.000 .055494 .3915981 -13.35 0.000 .3328612 -3.67 0.000 .4438741 7.40 0.000 .1950649 -5.46 0.000 1.355485 12.34 0.000 = .8181343 1.167151 .6141811 .7237009 -5.99436 -1.874191 2.413291 -1.448403 14.07218 = 7,430 254.48 0.0000 0.2153 0.2144 8.3838 [95% conf. interval] 2.428182 1.728241 .8548992 .941269 -4.459073 -.5691865 4.153529 -.683638 19.38645

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A professor of mathematics teaches at a catholic school and at a public school. He wants to know
whether attending a catholic school leads to higher grades. He collected data from 7,430 students
from both school's types. Considering this information, please answer the following questions:
a) How can you interpret the OLS outcome on whether the child attended a catholic school
(cathhs) is important to explain students' grade?
Source
Model
Residual
Total
cathhs
lfaminc
SS
143098.058
521610.985
motheduc
fatheduc
664709.043
df
math12 Coefficient Std. err.
17887.2573
8
7,421 70.2885036
7,429 89.4749015
1.623158 .4106669
1.447696 .1431147
.0613988
.7345401
.832485
. 055494
black
-5.226717
hispan -1.221689
asian
3.28341
female
_cons
MS
.3915981
.3328612
.4438741
-1.066021 .1950649
16.72931 1.355485
Number of obs
F(8, 7421)
Prob > F
R-squared
Adj R-squared
Root MSE
t P>|t|
3.95 0.000
0.000
10.12
11.96 0.000
15.00 0.000
-13.35
0.000
-3.67 0.000
7.40
0.000
-5.46 0.000
12.34 0.000
=
.8181343
1.167151
.6141811
.7237009
-5.99436
-1.874191
2.413291
-1.448403
14.07218
=
=
=
7,430
254.48
0.0000
0.2153
0.2144
8.3838
[95% conf. interval]
2.428182
1.728241
.8548992
.941269
-4.459073
-.5691865
4.153529
-.683638
19.38645
Transcribed Image Text:A professor of mathematics teaches at a catholic school and at a public school. He wants to know whether attending a catholic school leads to higher grades. He collected data from 7,430 students from both school's types. Considering this information, please answer the following questions: a) How can you interpret the OLS outcome on whether the child attended a catholic school (cathhs) is important to explain students' grade? Source Model Residual Total cathhs lfaminc SS 143098.058 521610.985 motheduc fatheduc 664709.043 df math12 Coefficient Std. err. 17887.2573 8 7,421 70.2885036 7,429 89.4749015 1.623158 .4106669 1.447696 .1431147 .0613988 .7345401 .832485 . 055494 black -5.226717 hispan -1.221689 asian 3.28341 female _cons MS .3915981 .3328612 .4438741 -1.066021 .1950649 16.72931 1.355485 Number of obs F(8, 7421) Prob > F R-squared Adj R-squared Root MSE t P>|t| 3.95 0.000 0.000 10.12 11.96 0.000 15.00 0.000 -13.35 0.000 -3.67 0.000 7.40 0.000 -5.46 0.000 12.34 0.000 = .8181343 1.167151 .6141811 .7237009 -5.99436 -1.874191 2.413291 -1.448403 14.07218 = = = 7,430 254.48 0.0000 0.2153 0.2144 8.3838 [95% conf. interval] 2.428182 1.728241 .8548992 .941269 -4.459073 -.5691865 4.153529 -.683638 19.38645
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