Suppose the following data were collected relating CEO salary to years of experience and gender. Use statistical software to find the regression equation. Is there enough evidence to support the claim that on average female CEOs have higher salaries than male CEOs at the 0.050.05 level of significance? If yes, type the regression equation in the spaces provided with answers rounded to two decimal places. Else, select "There is not enough evidence."
| Salary | Experience | Female (1 if female, 0 if male) |
| 111883.69 | 14 | 1 |
| 131239.12 | 23 | 1 |
| 95724.74 | 6 | 0 |
| 100672.96 | 17 | 0 |
| 119517.22 | 17 | 1 |
| 103449.64 | 11 | 1 |
| 87124.75 | 2 | 1 |
| 98539.29 | 12 | 0 |
| 105094.68 | 28 | 0 |
| 158228.08 | 29 | 1 |
| 99176.62 | 13 | 0 |
| 139816.12 | 29 | 1 |
| 115000 | 15 | 1 |
| 146563.36 | 23 | 1 |
| 101555.72 | 18 | 0 |
| 159257.32 | 27 | 1 |
| 101282.58 | 19 | 0 |
| 105268.86 | 26 | 0 |
| 97229 | 5 | 0 |
| 93792.96 | 1 | 0 |
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The regression equation is:
y = 78,172.73 + 1,493.86*x1 + 20,651.81*x2
| R² | 0.761 | |||
| Adjusted R² | 0.733 | |||
| R | 0.873 | |||
| Std. Error | 11254.423 | |||
| n | 20 | |||
| k | 2 | |||
| Dep. Var. | Salary | |||
| ANOVA table | ||||
| Source | SS | df | MS | F |
| Regression | 6,87,21,23,611.4039 | 2 | 3,43,60,61,805.7020 | 27.13 |
| Residual | 2,15,32,54,442.5548 | 17 | 12,66,62,026.0326 | |
| Total | 9,02,53,78,053.9587 | 19 | ||
| Regression output | ||||
| variables | coefficients | std. error | t (df=17) | p-value |
| Intercept | 78,172.73 | |||
| Experience | 1,493.86 | 300.7334 | 4.967 | .0001 |
| Female (1 if female, 0 if male) | 20,651.81 | 5,211.8928 | 3.962 | .0010 |
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