Question

	TV	sales			TV	sales
1	230.1	22.1		101	222.4	11.7
2	44.5	10.4		102	296.4	23.8
3	17.2	9.3		103	280.2	14.8
4	151.5	18.5		104	187.9	14.7
5	180.8	12.9		105	238.2	20.7
6	8.7	7.2		106	137.9	19.2
7	57.5	11.8		107	25	7.2
8	120.2	13.2		108	90.4	8.7
9	8.6	4.8		109	13.1	5.3
10	199.8	10.6		110	255.4	19.8
11	66.1	8.6		111	225.8	13.4
12	214.7	17.4		112	241.7	21.8
13	23.8	9.2		113	175.7	14.1
14	97.5	9.7		114	209.6	15.9
15	204.1	19		115	78.2	14.6
16	195.4	22.4		116	75.1	12.6
17	67.8	12.5		117	139.2	12.2
18	281.4	24.4		118	76.4	9.4
19	69.2	11.3		119	125.7	15.9
20	147.3	14.6		120	19.4	6.6
21	218.4	18		121	141.3	15.5
22	237.4	12.5		122	18.8	7
23	13.2	5.6		123	224	11.6
24	228.3	15.5		124	123.1	15.2
25	62.3	9.7		125	229.5	19.7
26	262.9	12		126	87.2	10.6
27	142.9	15		127	7.8	6.6
28	240.1	15.9		128	80.2	8.8
29	248.8	18.9		129	220.3	24.7
30	70.6	10.5		130	59.6	9.7
31	292.9	21.4		131	0.7	1.6
32	112.9	11.9		132	265.2	12.7
33	97.2	9.6		133	8.4	5.7
34	265.6	17.4		134	219.8	19.6
35	95.7	9.5		135	36.9	10.8
36	290.7	12.8		136	48.3	11.6
37	266.9	25.4		137	25.6	9.5
38	74.7	14.7		138	273.7	20.8
39	43.1	10.1		139	43	9.6
40	228	21.5		140	184.9	20.7
41	202.5	16.6		141	73.4	10.9
42	177	17.1		142	193.7	19.2
43	293.6	20.7		143	220.5	20.1
44	206.9	12.9		144	104.6	10.4
45	25.1	8.5		145	96.2	11.4
46	175.1	14.9		146	140.3	10.3
47	89.7	10.6		147	240.1	13.2
48	239.9	23.2		148	243.2	25.4
49	227.2	14.8		149	38	10.9
50	66.9	9.7		150	44.7	10.1
51	199.8	11.4		151	280.7	16.1
52	100.4	10.7		152	121	11.6
53	216.4	22.6		153	197.6	16.6
54	182.6	21.2		154	171.3	19
55	262.7	20.2		155	187.8	15.6
56	198.9	23.7		156	4.1	3.2
57	7.3	5.5		157	93.9	15.3
58	136.2	13.2		158	149.8	10.1
59	210.8	23.8		159	11.7	7.3
60	210.7	18.4		160	131.7	12.9
61	53.5	8.1		161	172.5	14.4
62	261.3	24.2		162	85.7	13.3
63	239.3	15.7		163	188.4	14.9
64	102.7	14		164	163.5	18
65	131.1	18		165	117.2	11.9
66	69	9.3		166	234.5	11.9
67	31.5	9.5		167	17.9	8
68	139.3	13.4		168	206.8	12.2
69	237.4	18.9		169	215.4	17.1
70	216.8	22.3		170	284.3	15
71	199.1	18.3		171	50	8.4
72	109.8	12.4		172	164.5	14.5
73	26.8	8.8		173	19.6	7.6
74	129.4	11		174	168.4	11.7
75	213.4	17		175	222.4	11.5
76	16.9	8.7		176	276.9	27
77	27.5	6.9		177	248.4	20.2
78	120.5	14.2		178	170.2	11.7
79	5.4	5.3		179	276.7	11.8
80	116	11		180	165.6	12.6
81	76.4	11.8		181	156.6	10.5
82	239.8	12.3		182	218.5	12.2
83	75.3	11.3		183	56.2	8.7
84	68.4	13.6		184	287.6	26.2
85	213.5	21.7		185	253.8	17.6
86	193.2	15.2		186	205	22.6
87	76.3	12		187	139.5	10.3
88	110.7	16		188	191.1	17.3
89	88.3	12.9		189	286	15.9
90	109.8	16.7		190	18.7	6.7
91	134.3	11.2		191	39.5	10.8
92	28.6	7.3		192	75.5	9.9
93	217.7	19.4		193	17.2	5.9
94	250.9	22.2		194	166.8	19.6
95	107.4	11.5		195	149.7	17.3
96	163.3	16.9		196	38.2	7.6
97	197.6	11.7		197	94.2	9.7
98	184.9	15.5		198	177	12.8
99	289.7	25.4		199	283.6	25.5
100	135.2	17.2		200	232.1	13.4

1. Use the data analysis package to develop the regression equation.
2. What is the r²?  And what is the standard error?  What do they mean in this example?
3. What does the slope of the line represent in this example?  Use a sentence or two to explain this.
4. What is the 95% confidence interval for the parameter β₁ ?  At the significance level of 5%, can you reject the hypothesis that β₁ = 0?

Answer 1