Consider the following computer output of a multiple regression
analysis relating annual salary to years of education and years of
work experience.
Regression Statistics |
|
Multiple R |
0.7338 |
R Square |
0.5384 |
Adjusted R Square |
0.5183 |
Standard Error |
2139.0907 |
Observations |
49 |
ANOVA |
|||||
df |
SS |
MS |
F |
Significance F |
|
Regression |
2 |
245,472,093.5833 |
122,736,046.7917 |
26.8234 |
1.9E-08 |
Residual |
46 |
210,482,624.6208 |
4,575,709.2309 |
||
Total |
48 |
455,954,718.2041 |
Coefficients |
Standard Error |
t Stat |
P-value |
Lower 95% |
Upper 95% |
|
Intercept |
14275.75637 |
2,530.4400 |
5.6416 |
0.000000994 |
9182.2448 |
19,369.2679 |
Education (Years) |
2350.2675 |
338.3625 |
6.9460 |
0.000000011 |
1669.1791 |
3031.3559 |
Experience (Years) |
833.2984 |
392.8512 |
2.1212 |
0.039325236 |
42.5299 |
1624.0669 |
Step 1 of 2:
What would be your expected salary with no education and no experience?
Step 2 of 2:
How much would you expect your salary to increase if you had one more year of education?
Step 1 of 2:
What would be your expected salary with no education and no experience?
The expected salary with no education and no experience would be $14275.76.
From the given output of regression model, the value for the y-intercept is given as 14275.76, which means when a person have no any education and without any experience, then expected salary would be $14275.76.
Step 2 of 2:
How much would you expect your salary to increase if you had one more year of education?
We expected salary to increase by $2350.27 if we have one more year of education.
From given regression output, the slope for the variable year of education is given as 2350.27 which means, there is an increment of $2350.27 in the dependent variable salary when there is an increment of 1 year in education.
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