Question

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 0.01 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)
96901.67	3	0
127454.04	20	1
154549.18	29	1
98426.63	9	0
69497.18	1	1
115000.00	15	1
104453.85	27	0
117065.55	16	1
121986.41	17	1
96877.46	9	0
128851.33	19	1
96837.12	8	0
103283.91	26	0
95707.52	1	0
99616.74	14	0
124021.59	18	1
112053.56	14	1
103949.57	26	0
108317.34	13	1
102339.89	20	0

Answer 1

The fitted regression equation is

Salary = 82044.36852 + 1244.4103*Experience + 15675.8024*Female

Claim : Female CEOs have hugher salaries than male CEO's

Let X1: Salary of Female CEO

X2: Salary of Male CEO

thus there is not sufficient evidence to conclude that female CEOS have greater salaries than Male CEOs