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 3.32418 1.00223 3.317 0.0009 const *** 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 Schwarz criterion 57160.52 -28571.28 Akaike criterion 57146.55 Hannan-Quinn 57151.33 Jse the above findings to answer the following questions: 4-Given the above estimated outcome, test to verify if the regression intercept is significant. Use a two-sided p-value statistical approach, and show all the required steps. 3-What happens to your finding in part A above, if the level of significant is decreased to 1%?

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter4A: Problems In Applying The Linear Regression Model
Section: Chapter Questions
Problem 1E
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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
F(1, 7984)
Log-likelihood
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
-28571.28
Akaike criterion
57146.55
Schwarz criterion 57160.52
Hannan-Quinn
57151.33
Use the above findings to answer the following questions:
A-Given the above estimated outcome, test to verify if the regression intercept is significant. Use a two-sided p-value statistical approach, and show all the
required steps.
B-What happens to your finding in part A above, if the level of significant is decreased to 1%?
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 F(1, 7984) Log-likelihood 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 -28571.28 Akaike criterion 57146.55 Schwarz criterion 57160.52 Hannan-Quinn 57151.33 Use the above findings to answer the following questions: A-Given the above estimated outcome, test to verify if the regression intercept is significant. Use a two-sided p-value statistical approach, and show all the required steps. B-What happens to your finding in part A above, if the level of significant is decreased to 1%?
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