Question

A regression analysis has been conducted between the annual income (in 1000 euros) and the work...

  1. A regression analysis has been conducted between the annual income (in 1000 euros) and the work experience (in years) of people with 0.05 significance level. The results are summarized below.
  1. Define the independent and dependent variables. What can you say about the correlation between them.
  2. Interpret R Square.
  3. Write the regression model and interpret the coefficients.
  4. Estimate the average annual income of a person who has 15 years of work experience.

Summary

Table 1.

Regression Statistics

Multiple R

0,93

R Square

0,86

Adjusted R Square

0,82

Standard Error

2,11

Observations

6

Table 2.

df

SS

MS

F

Significance F

Regression

1

107,603

107,603

24,276

0,008

Residual

4

17,730

4,432

Total

5

125,333

Table 3.

Coefficients

Standard Error

t stat

p value

Lower 95%

Upper 95%

Intercept

17,351

3,160

5,491

0,005

8,577

26,124

Variable X 1

1,362

0,276

4,927

0,008

0,595

2,130

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