Is the regression coefficient of education (Educ) statistically significant? (Use ? = 0.05.) Given this output, the regression coefficient for education (is/is not)    statistically significant. (b) Does the variable education belong in the model? Given this output, the variable education (may/may not)   belong in the model. (c) Given this output, which of the following is the correct interpretation for Education in this model?

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The following multiple regression printout can be used to predict a person's average annual salary given his or her years of employment and number of years of education beyond high school.

Regression Analysis: Salary Versus YrsEm, Educ

Coefficients
Term Coef SE Coef T-Value P-Value
Constant 23,175 1,771 13.09 0.000
YrsEm 671 141 4.76 0.000
Educ 1,911 378 5.06 0.000
(a)
Is the regression coefficient of education (Educ) statistically significant? (Use ? = 0.05.)
Given this output, the regression coefficient for education (is/is not)    statistically significant.
(b)
Does the variable education belong in the model?
Given this output, the variable education (may/may not)   belong in the model.
(c)
Given this output, which of the following is the correct interpretation for Education in this model?
-For each additional year of education beyond high school, the estimated change in the average annual salary is $23,175, controlling for years of employment.
-For each additional year of education beyond high school, the estimated change in the average annual salary is $1,911, controlling for years of employment.   
- The estimated change in the average value of annual salary of getting an additional year of education beyond high school is $1,911.
-An individual with 4 years of education beyond high school can expect an annual salary of $7,644.
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