Question
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
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
coefficientstd. errort-ratiop-value
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const3.324181.002233.3170.0009***
YRSEDUC0.4519310.033525513.485.73e-041***
Mean dependent var16.77115S.D. dependent var8.758696
Sum squared resid598935.5S.E. of regression8.661234
R-squared0.022254Adjusted R-squared0.022131
F(1, 7984)181.7164P-value(F)5.73e-41
Log-likelihood28571.28Akaike criterion57146.55
Schwarz criterion57160.52Hannan-Quinn57151.33
Use the above findings to answer the following questions:
A-Construct the 95% confidence interval of the slope coefficient.
(Hint: There is no need to write the formula, you just need to show your calculations).
B-Based on your results in part A above, is the slope coefficient significant or not? Briefly explain.
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