A researcher has estimated the relationship between salaries of 100 selected employees of an organization (shown as "EARN" in $/hour) and their years of education (shown as "YRSEDUC", in years) as per the following regression outcome with 5% level of significance (numbers are made up): Model 1: OLS, using observations 1-100 Dependent variable: EARN coefficient std. error t-ratio p-value const 3.32418 1.00223 3.317 0.0009 *** YRSEDUC 0.451931 0.0335255 13.48 5.73e-041 *** Mean dependent var 16.77115 Sum squared resid 598935.5 R-squared F(1, 7984) S.D. dependent var 8.758696 S.E. of regression 8.661234 Adjusted R-squared 0.022131 P-value(F) 0.022254 181.7164 5.73e-41 Log-likelihood -28571.28 Akaike criterion 57146.55 Schwarz criterion 57160.52 Hannan-Quinn 57151.33 Use the above findings to answer the following questions: A-Construct the 95% confidence interval of the estimated intercept above. B-Given your findings in part A above, is it safe to claim that the above estimated intercept is significant? Show all the required steps.

MATLAB: An Introduction with Applications
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A researcher has estimated the relationship between salaries of 100 selected employees of an organization (shown as "EARN" in $/hour) and their years of
education (shown as "YRSEDUC", in years) as per the following regression outcome with 5% level of significance (numbers are made up):
Model 1: OLS, using observations 1-100
Dependent variable: EARN
coefficient
std. error
t-ratio
p-value
const
3.32418
1.00223
3.317
0.0009
***
YRSEDUC
0.451931
0.0335255
13.48
5.73e-041 ***
Mean dependent var 16.77115
Sum squared resid 598935.5
R-squared
S.D. dependent var 8.758696
S.E. of regression 8.661234
Adjusted R-squared 0.022131
0.022254
F(1, 7984)
181.7164
P-value(F)
5.73e-41
Log-likelihood
-28571.28
Akaike criterion
57146.55
Schwarz criterion 57160.52
Hannan-Quinn
57151.33
Use the above findings to answer the following questions:
A-Construct the 95% confidence interval of the estimated intercept above.
B-Given your findings in part A above, is it safe to claim that the above estimated intercept is significant? Show all the required steps.
Transcribed Image Text:A researcher has estimated the relationship between salaries of 100 selected employees of an organization (shown as "EARN" in $/hour) and their years of education (shown as "YRSEDUC", in years) as per the following regression outcome with 5% level of significance (numbers are made up): Model 1: OLS, using observations 1-100 Dependent variable: EARN coefficient std. error t-ratio p-value const 3.32418 1.00223 3.317 0.0009 *** YRSEDUC 0.451931 0.0335255 13.48 5.73e-041 *** Mean dependent var 16.77115 Sum squared resid 598935.5 R-squared S.D. dependent var 8.758696 S.E. of regression 8.661234 Adjusted R-squared 0.022131 0.022254 F(1, 7984) 181.7164 P-value(F) 5.73e-41 Log-likelihood -28571.28 Akaike criterion 57146.55 Schwarz criterion 57160.52 Hannan-Quinn 57151.33 Use the above findings to answer the following questions: A-Construct the 95% confidence interval of the estimated intercept above. B-Given your findings in part A above, is it safe to claim that the above estimated intercept is significant? Show all the required steps.
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