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?