Examine the effect of gender on annual salary, controlling for age and experience factors using the attached data below:
1. Report the regression equation and assess the significance and fit of the estimated model: report and interpret the p-value of F-test, the coefficient of determination (R-squared), and the standard error of estimate.
2. Which explanatory variables are statistically significant at 5% level?
3. Interpret the slope coefficient for variables “age” and “experience”.
4. Interpret the slope coefficient of a dummy variable you choose for gender. Explain how this supports or rejects the findings you have established in the previous problem sets regarding the possible gender discrimination
Extracted text: Employee Annual Number Age Experience Training Training Cears) Cears) Level Gender Gender Salary 1 32,368 F 2 53,174|M 3 52,722|M 4 53,423|M 5 50,602|M 6 49,033İM 개 24,395|M 8 24,395|F 9| 43,124 M 10 23,975F 11 53,174|M 12 58,515|M 13 56,294|M 14 49,033|F 15 44,884|M 16 53,429|F 1개 46,574|M 18 58,968|F 19 53,174|M 20 53,627|M 21 49,033 M 22 54,981|M 23 62,530|M 24 27,525 F 25 24,395|M 26 56,884|M 2기 52,111/M 28; 44,183 F 29 24,967|F 30 35,423 F 31 41,188 F 32 27,525 F 33 35,018|M 34 44,183 M 35 35,423 M 36 49,033|M 3가 40,741|M 38 49,033|M 39 56,294|F 40 47,180|F 41 46,574|M 42 52,722|M 43 51,237|M 44! 53.627İM 45! 53.174.M 46 56,294|M 4개 49,033|F 48 49,033|M 49 55,549|M 50 51,237|M 51 35,200|F 52 50,175 F 53 24,352|F 54 27,525|F 55 29,606|F 56 24,352|F 5가 47,180|F 58 49,033|M 59 53,174|M 60 53,429F 61 53,627|M 62 26,491|F 63 42,961|M 64 53,174|M 65 37,292|M 66 37,292|M 6개 41,188|F 68 57,242|F 69 53,429 F 70 53,174|M 71 44,138 F dummy dummy 42 54 4개 4개 44 42 10 B 1아A 1B siB 10|A sja 6|A 30 52 48| 58| 46 36 4|A 10|B 10|B 1|A 49 5아 4개 10 B sjA 10|B 54 4개 기소 10 B 31A 50 31 10 A 5|A 1o 1o 56 38! 55 6|A 4|A 2|B 3|A 1|A 2|A 1A 47 1o to 35 35 39! 41! 44! 53! 47! vis 10|A 6|C sịc 2|A 42 4! **! 45 ! 56 ! sịc 2|B 38 58; 52 54 10 A 49 ! 10|B 10|B 9|A sic lic 53 ! 43 1 ! 35 56 38 1B 42 1o 1o 1o lo lo 1|A 3|A 4|B 1|A 35 40 34 35 45 10|A 10|A 기B 10|A 기소 3|B 54 47 to 45 4개 lo 46 36 45 이A 47 3|B 7ịc 6ịc 10B 2|B 34 45 1 1o 44 50! 38