Write down the linear equation for both regressions which

Question

Consider the following data set:

Y1	Y2	X1	X2	X3	X4
125	113	13	18	25	11
158	115	39	18	59	30
207	126	52	50	62	53
182	119	29	43	50	29
196	107	50	37	65	56
175	135	64	19	79	49
145	111	11	27	17	14
144	130	22	23	31	17
160	122	30	18	34	22
175	114	51	11	58	40
151	121	27	15	29	31
161	105	41	22	53	39
200	131	51	52	75	36
173	123	37	36	44	27
175	121	23	48	27	20
162	120	43	15	65	36
155	109	38	19	62	37
230	130	62	56	75	50
162	134	28	30	36	20
153	124	30	25	41	33

Where:

Y₁ - A measure of success in graduate school.

Y₂ - Score of grad school on a major review paper.

X₁ - A measure of intellectual ability.

X₂ - A measure of "work ethic."

X₃ - A second measure of intellectual ability.

X₄ - A measure of spatial ability.

Write down the linear equation for both regressions

Which factors seems to have significant impact on success in graduate school

Which factors have significant impact on school ranking?

Are those the same factors? How do you interpret the discrepancy?