DATA GIVEN BELOW

Consider the regression model: Possess = 0PassAccuracy^2 Distance^3 Fouls^4 exp(5Red)exp(e).

(a) Estimate the equation (1) and report results.

(b) Find and interpret a 99% confidence interval for 2

(c) Examine the overall significance of the regression model estimated in part (a). Clearly present the test statistic and the restricted model.

(d) Carry out the Goldfeld-Quandt test of heteroskedasticity at the 5% level of significance with the observations ordered according to Fouls. Clearly present the null and alternative hypothesis. Comment on the results that you have obtained in part (b).

(e) Find generalized least squares estimates of (1) under the assumption that

var(e) = ^2 =^2 =Fouls .

Report the results. Find and interpret a 99% confidence interval for 2 . Comment on the results in comparison with part (b).

(f) Use Whites formula on model that you estimated in part (a) to find some alternative standard errors to those obtained in part (a). Report the results. Find and interpret a 99% confidence interval for 2 . Comment on the results in comparison with part (b) and (e). Clearly show your workings.

(g) Test at the 5% level of significance that errors in part (a) are normally distributed. Comment on the results that you have obtained in part (b).

(h) Re-estimate (1) based on a bootstrap sample of 5000 replication using a seed value of 1234. Report the results.

Possess	PassAccuracy	Distance	Fouls	Red
40	78	118	22	0
60	86	105	10	0
43	78	112	12	0
57	86	111	6	0
64	86	101	22	0
36	86	100	14	0
39	87	102	12	0
61	93	103	10	0
51	87	103	16	0
49	85	111	19	0
72	92	101	10	0
28	67	105	15	0
52	85	104	10	0
48	82	110	18	0
54	84	104	20	0
46	84	101	16	0
50	83	107	18	0
50	83	109	15	0
60	88	110	10	0
40	82	106	15	0
52	88	103	12	0
48	83	108	19	0
52	84	102	20	0
48	79	103	23	0
61	89	102	17	0
39	82	100	18	0
41	82	103	14	0
59	91	105	8	0
41	82	93	15	1
59	87	101	9	0
57	88	110	8	0
43	81	107	15	0
47	76	115	11	0
53	81	110	10	0
47	76	105	19	0
53	77	107	23	0
47	88	101	10	0
53	86	100	13	0
30	69	106	14	0
70	89	105	14	0
49	88	112	7	0
51	85	114	5	0
44	77	103	11	0
56	81	102	15	0
58	81	101	15	0
42	80	104	23	0
66	90	105	11	0
34	73	109	11	0
58	84	100	9	0
42	75	106	10	0
42	78	116	17	0
58	87	112	12	0
52	84	104	12	0
48	82	102	13	0
41	82	99	24	0
59	89	97	7	0
71	91	111	12	0
29	77	110	13	0
58	94	99	14	0
42	88	89	13	0
54	84	105	8	0
46	79	102	14	0
45	79	107	15	0
55	82	108	10	0
56	88	101	17	0
44	83	98	18	0
61	90	101	7	0
39	82	106	16	0
68	91	103	5	0
32	84	111	17	0
32	69	93	16	0
68	89	89	11	0
38	72	106	10	0
62	87	104	10	0
53	86	105	13	0
47	81	100	12	0
34	76	98	20	0
66	84	101	15	0
41	73	103	10	0
59	87	101	12	0
30	74	118	16	0
70	88	115	7	0
65	83	95	14	0
35	67	102	11	0
44	78	114	13	0
56	88	105	7	0
60	87	103	9	0
40	82	103	14	0
54	86	83	11	0
46	83	80	8	0
43	78	97	15	0
57	83	100	15	0
36	77	102	18	0
64	87	107	19	0
48	88	109	11	0
52	88	106	14	0
41	84	97	21	0
59	86	96	15	0
39	69	106	13	0
61	84	107	13	0
75	91	137	5	0
25	72	146	19	0
54	81	132	5	0
46	79	135	19	0
47	83	92	6	0
53	85	89	18	0
56	87	108	13	0
44	83	109	9	0
37	73	105	11	0
63	84	103	13	1
48	78	136	23	0
51	82	143	13	0
42	67	103	17	0
58	81	99	15	0
57	89	104	14	0
43	83	105	16	0
43	74	107	10	0
57	80	110	7	0
38	69	148	25	0
62	82	139	18	0
40	86	102	6	0
60	90	102	16	0
54	79	143	23	0
46	79	148	14	0
43	88	108	11	0
57	92	110	5	0
39	75	99	14	0
61	83	100	13	0