Question

Consider the following computer output of a multiple regression analysis relating annual salary to years of...

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?

Homework Answers

Answer #1

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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