Kamini, a student of the 1-Year post graduate program at the International School of Business and...

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Basic Math

Kamini, a student of the 1-Year post graduate program at theInternational School of Business and Design is trying to establishthe relationship between compensation (in Rs. Lakh) and years ofwork experience. She collected data from 9 students who have beenplaced and fitted a regression equation with Compensation (in Rs.Lakh) as the dependent variable and Years of experience as theindependent variable. The Excel output is given below (with somemissing values):

SUMMARY OUTPUT

Regression Statistics

Multiple R

R Square

Adjusted R Square

0.67224

Standard Error

1.262251

Observations

9

ANOVA

df

SS

MS

F

Significance F

Regression

1

17.40811

0.004177

Residual

7

11.15294

1.593277

Total

8

38.88889

Coefficients

Standard Error

t Stat

P-value

Lower 95%

Upper 95%

Intercept

11.91765

1.542901

0.000114

8.269266

15.56603

years of experience

0.290431

0.004177

0.525005

1.898524

Answer the following questions based on the above.

1. What is the value of Regression Sum of Squares?

2. What is the 95% confidence interval for the slope?

3. What is the estimated compensation for a person with 8 yearsof experience?

4. What is the coefficient of correlation between Compensationand Years of experience?

5. What is the R2 for the above regression equation?

6. What is the t-value corresponding to the intercept?

7. Interpret the value 0.004177 under the column “P-Value”

8. What is the expected compensation for a person with no workexperience?

9. The above output provides 95% confidence interval for theintercept. What is the lower limit for the 90% confidence intervalfor the intercept?

10. The above output provides 95% confidence interval for theintercept. What is the upper limit for the 90% confidence intervalfor the intercept?

Answer & Explanation Solved by verified expert
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Solution1 What is the value of Regression Sum of SquaresAnswer 2 What is the 95 confidence interval for the slopeAnswer 3 What is the estimated compensation for a person with 8 yearsof experienceAnswer    See Answer
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