A multiple regression was ran on the salary of the faculty f

A multiple regression was ran on the salary of the faculty for multiple colleges. The dependent variable is the salary of the faculty in thousands. The independent variables are State (a dummy variable where State=1 for state sponsored colleges and universities, State=0 for all private colleges and universities), Ivy (is similar to state, where Ivy=1 for ivy league schools and ivy=0 for everyone else), finally CIC (again CIC=1 for the big 10 Universities and the University of Chicago, and CIC=0 for all non CIC members). The results for the multiple regression is as follows, fill in the blanks.

What is the value for the \"R Square\"

What should be in the \"Adjusted R Square\"

What goes in the blank \"Standard Error\" spot?

What would go in the \"df \" column next to regression?

What should be in the \"df\" column next to \"Residual\"?

What should be in the \"df \" column next to Total?

What should be in the MS column in the Regression row?

What is the F distribution?

What is the t stat for the state variable?

What is the t Stat for the IVY variable?

Which variable(s) is statistically significant (you can prove that they are not equal to zero at the .05 significance level). Mark all that apply.

Solution

R square = 0.22249

Ad R square = 0.17179

df regression 3

df residual 46

df total 49

Ms reg= 77.487

F=5.2856

t static for state = -3.1233

t static for cic = 1.2934

State are statistically significant as p value is small