Consider the following regression estimates: . reg wage educ female nonwhite Source SS df MS 526 60.79 Model 1853.93665 617.978884 0.0000 3 522 10.165666 Residual 5306.47764 0.2589 0.2547 Total 7160.41429 525 13.6388844 3.1884 wage Coef. Std. Err. t P>|t| [95% Conf. Interval] 9.98 0.000 .4058751 .6047738 -8.14 0.000 -2.823452 -1.725915 educ .5053245 .0506227 female -2.274684 .2793401 nonwhite -.1192245 .4597555 _cons .6498561 .6811618 -0.26 0.795 -1.022423 .783974 . 0.95 0.341 -.6882992 1.988011 where wage is monthly wage in US$, educ is years of education, female is a dummy variable which is equal to 1 if the person is female and 0 otherwise, and nonwhite is a dummy variable which is equal to 1 if the person is not White and 0 otherwise. 1. The standard error of the constant is 2. The t-statistic for the female coefficient is 3. The sum of squared residuals (SSR) is 4. The explained sum of squares (SSE) is 5. The predicted wage in US$ for a White man with 5 years of education is 6. The predicted wage in US$ for a Hispanic woman with 6 years of education is Number of obs F(3, 522) Prob > F R-squared Adj R-squared Root MSE

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Can you please answer 5 & 6

Consider the following regression estimates:
reg wage educ female nonwhite
Source
SS
df MS
526
60.79
1853.93665
617.978884
0.0000
Model
Residual 5306.47764
3
522 10.165666
0.2589
0.2547
Total
7160.41429
525 13.6388844
3.1884
wage
t P>|t|
[95% Conf. Interval]
.4058751
.6047738
-2.823452
-1.725915
educ
.5053245
female -2.274684
nonwhite -.1192245
_cons .6498561
. 0506227
9.98 0.000
.2793401 -8.14 0.000
.4597555 -0.26 0.795
.6811618
0.95 0.341
-1.022423
.783974
I
-.6882992
1.988011
where wage is monthly wage in US$, educ is years of education, female is a dummy variable
which is equal to 1 if the person is female and 0 otherwise, and nonwhite is a dummy variable
which is equal to 1 if the person is not White and 0 otherwise.
1. The standard error of the constant is
2. The t-statistic for the female coefficient is
3. The sum of squared residuals (SSR) is
4. The explained sum of squares (SSE) is
5. The predicted wage in US$ for a White man with 5 years of education is
6. The predicted wage in US$ for a Hispanic woman with 6 years of education is
Coef. Std. Err.
Number of obs
F(3, 522)
Prob > F
R-squared
Adj R-squared
Root MSE
=
|| || ||
=
11
Transcribed Image Text:Consider the following regression estimates: reg wage educ female nonwhite Source SS df MS 526 60.79 1853.93665 617.978884 0.0000 Model Residual 5306.47764 3 522 10.165666 0.2589 0.2547 Total 7160.41429 525 13.6388844 3.1884 wage t P>|t| [95% Conf. Interval] .4058751 .6047738 -2.823452 -1.725915 educ .5053245 female -2.274684 nonwhite -.1192245 _cons .6498561 . 0506227 9.98 0.000 .2793401 -8.14 0.000 .4597555 -0.26 0.795 .6811618 0.95 0.341 -1.022423 .783974 I -.6882992 1.988011 where wage is monthly wage in US$, educ is years of education, female is a dummy variable which is equal to 1 if the person is female and 0 otherwise, and nonwhite is a dummy variable which is equal to 1 if the person is not White and 0 otherwise. 1. The standard error of the constant is 2. The t-statistic for the female coefficient is 3. The sum of squared residuals (SSR) is 4. The explained sum of squares (SSE) is 5. The predicted wage in US$ for a White man with 5 years of education is 6. The predicted wage in US$ for a Hispanic woman with 6 years of education is Coef. Std. Err. Number of obs F(3, 522) Prob > F R-squared Adj R-squared Root MSE = || || || = 11
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