Hello, I have computed a regression model where the dependent variable is "earn" as in how much money the student will earn after college. My independent variables include "public" as in was this college public(1) or private(0), "academic ability" (a score calculated as the average score from SAT/ACT data of admitted students), "Average Cost" of tuition and "population" (of the city the college is in). What is the impact on earnings of higher population of the college area/city?
SUMMARY OUTPUT 

Regression Statistics 

Multiple R 
0.649 

R Square 
0.421 

Adjusted R Square 
0.418 

Standard Error 
5188.8229 

Observations 
612 

ANOVA 

df 
SS 
MS 
F 
Significance F 

Regression 
4 
11900671012 
2975167753 
110.502922 
0 

Residual 
607 
16342797033 
26923883.09 

Total 
611 
28243468045 

Coefficients 
Standard Error 
t Stat 
Pvalue 
Lower 95% 
Upper 95% 
Lower 95% 

Intercept 
13079.29751 
1793.002809 
7.294633031 
9.40E13 
9558.055594 
16600.53943 
9558.055594 
Public 
5803.055751 
692.3876623 
8.381223506 
3.65E16 
4443.289637 
7162.821864 
4443.289637 
Academic Ability 
30963.20394 
3177.133618 
9.745641091 
6.01E21 
24723.69554 
37202.71233 
24723.69554 
Average Cost of Tuition 
0.234348603 
0.037041991 
6.32656614 
4.87E10 
0.161602588 
0.307094618 
0.161602588 
Population 
0.000232352 
7.84E05 
2.962605212 
0.003169884 
7.83E05 
0.000386376 
7.83E05 
Sol:
From output
For popualtion coeffcient
=0.000232352
since coeffcient is positive
For unit increase in popualtion,earning increaases by 0.000232352 units,holding Public,Academic Ability ,
Average Cost of Tuition 
and
Population
As popualtion increases,earning increaes and vice versa
Hypothesis tets for slope of popualtion
tstat= coeffcient/std error
=0.000232352/7.84E05
=2.963673
p value=0.003169884
As nothing mentioned take alpha=0.05
p<alpha
Reject Ho
Accept Ha
Popualtion is a significant variable for predicting earn
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