The data on the U5mort worksheet below represent female lite

The data on the U5mort worksheet below represent female literacy (FemLit0 and under-five mortality (U5Mort) for one hundred and fourteen countries of the world, each having more that one million inhabitants. the data were taken from the state of the Worlds Children (2001). Use these data to caluclate B1 and Bo for FemLit as a predictor of U5Mort.

FemLit	U5mort
16	257
54	41
29	295
96	22
99	30
98	5
98	5
48	89
98	6
19	156
28	107
78	83
85	40
98	17
58	122
53	154
98	6
27	172
22	198
96	12
77	41
92	31
54	207
95	14
96	8
98	5
81	49
86	35
38	52
73	42
10	105
27	176
98	5
98	5
24	75
98	5
53	101
63	60
22	181
16	200
42	129
69	42
99	10
44	98
78	52
69	46
45	128
98	6
81	11
98	4
81	35
99	42
69	118
98	5
95	65
48	111
77	32
92	134
67	22
44	156
34	211
79	9
12	235
33	183
78	23
87	33
97	80
31	53
23	203
78	112
77	70
28	104
98	5
98	6
67	47
7	275
47	187
98	4
57	16
33	112
92	27
63	112
90	32
89	52
94	42
87	6
96	24
50	180
70	25
23	118
18	316
86	4
66	69
96	6
88	19
47	109
98	4
73	30
82	141
92	30
33	143
97	20
74	48
50	131
98	6
98	8
97	17
99	58
90	23
88	40
36	119
60	202
82	90

Let us find linear regression equation using the given data.

Step 1: Find X?Y and X2 as it was done in the table below.

Step 2: Find the sum of every column:

?X=7754 , ?Y=8679 , ?X?Y=404706 , ?X2=621406

Step 3: Use the following equations to find a and b:

ab=?Y??X2??X??XYn??X2?(?X)2=8679?621406?7754?404706113?621406?77542?223.401=n??XY??X??Yn??X2?(?X)2=113?404706?7754?8679113?621406?(7754)2??2.136

Step 4: Substitute a and b in regression equation formula

y = a + b?x= 223.401 ? 2.136?x

Hence regression equation is y = -2.136x+223.401

X	Y	X?Y	X?X
16	257	4112	256
54	41	2214	2916
29	295	8555	841
96	22	2112	9216
99	30	2970	9801
98	5	490	9604
98	5	490	9604
48	89	4272	2304
98	6	588	9604
19	156	2964	361
28	107	2996	784
78	83	6474	6084
85	40	3400	7225
98	17	1666	9604
58	122	7076	3364
53	154	8162	2809
98	6	588	9604
27	172	4644	729
22	198	4356	484
96	12	1152	9216
77	41	3157	5929
92	31	2852	8464
54	207	11178	2916
95	14	1330	9025
96	8	768	9216
98	5	490	9604
81	49	3969	6561
86	35	3010	7396
38	52	1976	1444
73	42	3066	5329
10	105	1050	100
27	176	4752	729
98	5	490	9604
98	5	490	9604
24	75	1800	576
98	5	490	9604
53	101	5353	2809
63	60	3780	3969
22	181	3982	484
16	200	3200	256
42	129	5418	1764
69	42	2898	4761
99	10	990	9801
44	98	4312	1936
78	52	4056	6084
69	46	3174	4761
45	128	5760	2025
98	6	588	9604
81	11	891	6561
98	4	392	9604

The data on the U5mort worksheet below represent female literacy (FemLit0 and under-five mortality (U5Mort) for one hundred and fourteen countries of the world,

The data on the U5mort worksheet below represent female lite

Solution

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