Question

C1-T C2 c3 c4 C7 CB SEX AGE cs Св FOOT LE... SHOE PR... SHOE SIZE HEIGHT 27.8 31.3 11.0 180.3 25.7 29.7 9.0 175.3 1 M 67 2 M 47 3 M 41 26.7 31.3 11.0 184.8 4 M 42 25.9 10,0 177.8 31.8 314 5 M 48 26.4 10.0 182.3 6 M 34 29.2 13.0 185.4 31.9 31.8 7 M 26 26.8 11.0 180.3 8 M 29 28.1 175.3 31.0 29.7 10.5 9.5 9 M 60 25.4 177.8 10 M 48 27.9 31.4 110 185.4 190.5 11 M 30 31.4 11.0 27.5 28.8 12 M 43 316 12.0 195.0 13 M 54 26.7 10.0 175.3 318 324 14 M 31 26.7 10.5 180.3 M 42 25.1 27.6 9.0 172.7 15 16 M 21 28.7 31.8 12.5 182.9 17 M 59 29. 2 31.3 11.0 1892 18 M 58 313 11.5 185.4 27.9 28.6 19 M 42 34,5 14.0 193.7 20 F 47 232 24.8 7.0 165.1

Answer 1

	Shoe size (y)	Height (x)	(y-My)^2	(x-Mx)^2	(y-My)(x-Mx)
1	11	180.3	1.44	32.49	6.84
2	9	175.3	0.64	0.49	-0.56
3	11	184.8	1.44	104.04	12.24
4	10	177.8	0.04	10.24	0.64
5	10	182.3	0.04	59.29	1.54
6	13	185.4	10.24	116.64	34.56
7	11	180.3	1.44	32.49	6.84
8	10.5	175.3	0.49	0.49	0.49
9	9.5	177.8	0.09	10.24	-0.96
10	11	185.4	1.44	116.64	12.96
11	11	190.5	1.44	252.81	19.08
12	12	195	4.84	416.16	44.88
13	10	175.3	0.04	0.49	0.14
14	10.5	180.3	0.49	32.49	3.99
15	9	172.7	0.64	3.61	1.52
16	12.5	182.9	7.29	68.89	22.41
17	11	189.2	1.44	213.16	17.52
18	11.5	185.4	2.89	116.64	18.36
19	14	193.7	17.64	364.81	80.22
20	7	165.1	7.84	90.25	26.6
21	9	166.4	0.64	67.24	6.56
22	10	177.8	0.04	10.24	0.64
23	8	167.6	3.24	49	12.6
24	9	168.3	0.64	39.69	5.04
25	8.5	165.7	1.69	79.21	11.57
26	11	165.1	1.44	90.25	-11.4
27	8	165.1	3.24	90.25	17.1
28	9.5	152.4	0.09	492.84	6.66
29	8.5	162.6	1.69	144	15.6
30	9	179.1	0.64	20.25	-3.6
31	9	175.9	0.64	1.69	-1.04
32	8.5	166.4	1.69	67.24	10.66
33	7	167.6	7.84	49	19.6
34	9	162.6	0.64	144	9.6
35	8	167.6	3.24	49	12.6
36	8	165.1	3.24	90.25	17.1
37	10	172.7	0.04	3.61	-0.38
38	7.5	157.5	5.29	292.41	39.33
39	10	167.6	0.04	49	-1.4
Total	382	6807.9	97.86	3871.53	476.15

39 = 174.6 -9,8 39 Sample size (n)=39 st=mx = h En; = 6807.9 G= My = h 24; = 382 Sex = Zn-M) ² = 3871.53 Syy aloi-my)² = 97.86, Suy=2(X-MuJfy.my) = 476.15 & The romelation coefficient between Shoe size (y) and Height (W) is ſsyy San The test statistic for the test of revelation is =r= Say - 0.7736 o 1-07 0.7736 ir 0.7736 - 7.4252 2 n-2 39-2 The with 3902=37 g p-valen for the correlation is 28(*>7.4252) de & P(+77.4252) = 0.000 Slope (b) = say = 0.1230 Sun x com Interapt (bo) & Myr b, Mx = -11.6740 The shoe the sizes het be the height of the pesson and his say expected shoe size is Y =-11.6740 to 1232 The height of the cousin is 16 cm shostes Home, thi shoe size of cousin = -11,6740 +0,123 0,123(x*–16) . The predicted shoe size smaller than him from his cousin Et01232 -0.123 2 + 0.123x16 - 1.968 ndo ú It gond - 16 XA-Y

1) & fest = 182.88 cm. The predicted shoe size of the person whose height is 6 helt is -1,674 +0.1230 X 182.88 & abfert = 10.82,