Ie 314 - Hw 4
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2 48 32 52 119 50 69 73 74 94 100 102 49 89 99 20 58 71 76 81 82 103 113 114 116 1 5 22 30 37 57 66 90 98 4 28 35 111 62 64 70
Y 3.89 2 2.38 3.35 1.86 3.81 1.81 2.48 2.7 3.02 2.31 1.58 2.95 3.81 2.75 2.12 2.19 3.04 2.83 3.32 3.07 2.88 2.39 2.29 3.89 3.9 3.03 3.36 3.06 3.38 3.16 2.45 2.51 2.88 2.54 2.58 2.86 3.42 2.72 3.61 3.52
X 14 15 16 16 16 18 18 18 18 18 18 18 19 19 19 20 20 20 20 20 20 20 20 20 20 21 21 21 21 21 21 21 21 21 22 22 22 22 23 23 23
Xi-X
Yi-Y
-10.73 -9.73 -8.73 -8.73 -8.73 -6.73 -6.73 -6.73 -6.73 -6.73 -6.73 -6.73 -5.73 -5.73 -5.73 -4.73 -4.73 -4.73 -4.73 -4.73 -4.73 -4.73 -4.73 -4.73 -4.73 -3.73 -3.73 -3.73 -3.73 -3.73 -3.73 -3.73 -3.73 -3.73 -2.73 -2.73 -2.73 -2.73 -1.73 -1.73 -1.73
0.81 -1.07 -0.7 0.28 -1.21 0.73 -1.27 -0.59 -0.37 -0.05 -0.76 -1.49 -0.12 0.73 -0.33 -0.96 -0.88 -0.04 -0.24 0.25 0 -0.2 -0.68 -0.79 0.81 0.82 -0.05 0.28 -0.01 0.31 0.09 -0.62 -0.57 -0.2 -0.53 -0.5 -0.22 0.34 -0.36 0.53 0.44
(Xi-X)(Yi-Y) (Xi-X)2 -8.7 10.45 6.1 -2.43 10.59 -4.92 8.53 3.98 2.52 0.34 5.13 10.03 0.7 -4.2 1.87 4.52 4.16 0.17 1.13 -1.18 0.01 0.92 3.21 3.72 -3.83 -3.07 0.17 -1.05 0.05 -1.14 -0.32 2.32 2.12 0.74 1.46 1.35 0.59 -0.94 0.62 -0.92 -0.76
115.03 94.58 76.13 76.13 76.13 45.23 45.23 45.23 45.23 45.23 45.23 45.23 32.78 32.78 32.78 22.33 22.33 22.33 22.33 22.33 22.33 22.33 22.33 22.33 22.33 13.88 13.88 13.88 13.88 13.88 13.88 13.88 13.88 13.88 7.43 7.43 7.43 7.43 2.98 2.98 2.98
Y-Hat 2.66 2.7 2.74 2.74 2.74 2.81 2.81 2.81 2.81 2.81 2.81 2.81 2.85 2.85 2.85 2.89 2.89 2.89 2.89 2.89 2.89 2.89 2.89 2.89 2.89 2.93 2.93 2.93 2.93 2.93 2.93 2.93 2.93 2.93 2.97 2.97 2.97 2.97 3.01 3.01 3.01
72 77 11 13 14 21 36 43 46 55 67 91 96 105 17 19 31 61 63 85 93 101 107 110
2.97 3.22 3.31 3.08 3.01 2.56 3.07 2.54 2.62 3.55 2.66 3.89 3.83 2.91 3.52 2.95
23 23 24 24 24 24 24 24 24 24 24 24 24 24 25 25
3.93 2.92 3.37 3.21 3.43 1.84 2.8 2.87
25 25 25 25 25 25 25 25
3.18 3.1 3.87 3.38 3.65 2.98 2.25 2.95 3.08 2.08 3.96 2.96 3.93 3.55 2.87 3.31
26 26 26 26 26 26 26 26 26 26 27 27 27 27 27 27
21
-1.73 -1.73 -0.73 -0.73 -0.73 -0.73 -0.73 -0.73 -0.73 -0.73 -0.73 -0.73 -0.73 -0.73 0.27
-0.11 0.15 0.24 0.01 -0.06 -0.51 0 -0.53 -0.46 0.47 -0.42 0.81 0.76 -0.16 0.45
0.19 -0.26 -0.17 -0.01 0.04 0.37 0 0.39 0.33 -0.34 0.3 -0.59 -0.55 0.12 0.12
2.98 2.98 0.53 0.53 0.53 0.53 0.53 0.53 0.53 0.53 0.53 0.53 0.53 0.53 0.08
3.01 3.01 3.05 3.05 3.05 3.05 3.05 3.05 3.05 3.05 3.05 3.05 3.05 3.05 3.08
0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27
-0.13 0.85 -0.15 0.3 0.13 0.35 -1.23 -0.27 -0.21
-0.03 0.23 -0.04 0.08 0.04 0.1 -0.34 -0.08 -0.06
0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08
3.08 3.08 3.08 3.08 3.08 3.08 3.08 3.08 3.08
1.28 1.28 1.28 1.28 1.28 1.28 1.28 1.28 1.28 1.28 2.28 2.28 2.28 2.28 2.28 2.28
0.1 0.03 0.8 0.3 0.57 -0.1 -0.82 -0.12 0.01 -1 0.89 -0.11 0.85 0.47 -0.2 0.23
0.13 0.03 1.02 0.38 0.73 -0.12 -1.05 -0.16 0.01 -1.27 2.02 -0.25 1.94 1.08 -0.46 0.53
1.63 1.63 1.63 1.63 1.63 1.63 1.63 1.63 1.63 1.63 5.18 5.18 5.18 5.18 5.18 5.18
3.12 3.12 3.12 3.12 3.12 3.12 3.12 3.12 3.12 3.12 3.16 3.16 3.16 3.16 3.16 3.16
d 10 26 29 34 40 41 44 54 78 83 8 16 24 39 51 53
28
86 87 92 97 3 23 25 27 33 79 108 109 118 120 9 45 60 75 88 95 117 12 38 42 56 59 65 112 6 18 47 115 7 68 84 104 15 80 106 Total Mean
2.92 3.35 2.18 3.11 3.78 3.73 3.56 2.42 2.93 4 3.62 3.79 3.91 2.95 0.5 2.07 3.94 3.92 3.96 3.75 3.8 3.54 3.29 2.65 3.69 3.32 2.64 3.6 3.87 3.01 2.18 1.49 2.96
27 27 27 27 28 28 28 28 28 28 28 28 28 28 29 29 29 29 29 29 29 30 30 30 30 30 30 30 31 31 31 31 32
3.71 3.88 3.59 3.25 3.51 3.72
32 32 32 33 34 35
368.89 3.07
2967 24.73
2.28 2.28 2.28 2.28 3.28 3.28 3.28 3.28 3.28 3.28 3.28 3.28 3.28 3.28 4.28 4.28 4.28 4.28 4.28 4.28 4.28 5.28 5.28 5.28 5.28 5.28 5.28 5.28 6.28 6.28 6.28 6.28
-0.15 0.27 -0.89 0.04 0.7 0.66 0.48 -0.65 -0.15 0.93 0.55 0.72 0.84 -0.13 -2.57 -1.01 0.86 0.85 0.88 0.68 0.73 0.46 0.22 -0.42 0.62 0.25 -0.43 0.53 0.79 -0.06 -0.89 -1.59
-0.35 0.62 -2.03 0.09 2.31 2.15 1.58 -2.14 -0.48 3.03 1.79 2.35 2.75 -0.41 -11 -4.3 3.68 3.62 3.77 2.89 3.1 2.45 1.14 -2.22 3.25 1.31 -2.28 2.77 4.96 -0.38 -5.59 -9.97
5.18 5.18 5.18 5.18 10.73 10.73 10.73 10.73 10.73 10.73 10.73 10.73 10.73 10.73 18.28 18.28 18.28 18.28 18.28 18.28 18.28 27.83 27.83 27.83 27.83 27.83 27.83 27.83 39.38 39.38 39.38 39.38
3.16 3.16 3.16 3.16 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.24 3.24 3.24 3.24 3.24 3.24 3.24 3.28 3.28 3.28 3.28 3.28 3.28 3.28 3.32 3.32 3.32 3.32
7.28 7.28 7.28 7.28 8.28 9.28 10.28
-0.11 0.64 0.8 0.52 0.17 0.44 0.64
-0.82 4.66 5.83 3.76 1.41 4.05 6.6
52.93 52.93 52.93 52.93 68.48 86.03 105.58
3.36 3.36 3.36 3.36 3.4 3.43 3.47
92.41
2379.93
368.89
ei
d
1.23 -0.7 -0.36 0.62 -0.88 0.99 -1.01 -0.33 -0.11 0.21 -0.5 -1.23 0.1 0.96 -0.1 -0.77 -0.7 0.15 -0.06 0.43 0.18 -0.01 -0.5 -0.6 0.99 0.9675810477 0.1 0.43 0.13 0.45 0.23 -0.48 -0.42 -0.05 -0.43 -0.39 -0.11 0.45 -0.29 0.6 0.51
19.77 21.7 21.36 20.38 21.88 20.01 22.01 21.33 21.11 20.79 21.5 22.23 20.9 20.04 21.1 21.77 21.7 20.85 21.06 20.57 20.82 21.01 21.5 21.6 20.01 20.03 20.9 20.57 20.87 20.55 20.77 21.48 21.42 21.05 21.43 21.39 21.11 20.55 21.29 20.4 20.49
ei2 1.49 0.49 0.13 0.37 0.78 0.98 1.02 0.11 0.01 0.04 0.26 1.53 0.01 0.9 0.01 0.6 0.49 0.02 0 0.18 0.03 0 0.25 0.37 0.98 0.93 0.01 0.18 0.02 0.2 0.05 0.23 0.18 0 0.19 0.16 0.01 0.2 0.09 0.35 0.25
1.5064394147 0.4850512258 0.1298040691 0.3803394662 0.7661208863 0.9861729868 1.0139232730 0.1095196763 0.0127548951 0.0445473487 0.2519413257 1.5127464299 0.0100471157 0.9143859519 0.0109756420 0.5968981286 0.4852401712 0.0220249863 0.0032026347 0.1869768295 0.0329089258 0.0001343704 0.2466034410 0.3655312753 0.9888476178 0.9362130839 0.0097182230 0.1828255524 0.0170514100 0.2039254427 0.0531676196 0.2279288560 0.1792836091 0.0029614224 0.1833947043 0.1515125102 0.0123756901 0.2031790971 0.0847236113 0.3587133045 0.2590064816
b1 b0 Point Estimate of 30 Point Estimate of 31 Difference Degrees of Freedom SSE MSE = σ2 σ
-0.04 0.21 0.26 0.04 -0.03 -0.48 0.03 -0.51 -0.43 0.5 -0.39 0.84 0.79 -0.13 0.44
21.04 20.79 20.74 20.96 21.03 21.48 20.97 21.51 21.43 20.5 21.39 20.16 20.21 21.13 20.56
0 0.04 0.07 0 0 0.24 0 0.26 0.19 0.25 0.16 0.7 0.61 0.02 0.19
0.0016870083 0.0461935267 0.0697486341 0.0013763853 0.0010824319 0.2331927316 0.0006811926 0.2559351469 0.1839554956 0.2511008763 0.1528030703 0.7057674505 0.6195258858 0.0173976978 0.1912072743
-0.14 0.84 -0.16 0.29 0.12 0.34 -1.24 -0.28 -0.22
21.14 20.16 21.16 20.71 20.88 20.66 22.24 21.28 21.22
0.02 0.7 0.03 0.08 0.01 0.12 1.56 0.08 0.05
0.0189688532 0.7094230318 0.0264802262 0.0813804221 0.0151961191 0.1185235819 1.5468579945 0.0810697264 0.0474052468
20.99
19.5
27.95 28.02 27.25 27.75 27.48 28.15 28.87 28.17 28.04 29.04 27.2 28.2 27.24 27.61 28.29 27.86
0 0 0.57 0.07 0.28 0.02 0.75 0.03 0 1.08 0.65 0.04 0.59 0.15 0.08 0.02
0.05 -0.02 0.75 0.25 0.52 -0.15 -0.87 -0.17 -0.04 -1.04 0.8 -0.2 0.76 0.39 -0.29 0.14
0.0029643030 0.0005087094 0.5586746457 0.0632247958 0.2729492098 0.0211861377 0.7630976161 0.0294309763 0.0015645653 1.0910942848 0.6377911672 0.0397530678 0.5815866506 0.1494736993 0.0849033031 0.0203399756
0.39 0.62
-0.24 0.18 -0.98 -0.05 0.58 0.53 0.35 -0.78 -0.27 0.8 0.42 0.59 0.71 -0.25 -2.74 -1.17 0.7 0.68 0.72 0.51 0.56 0.26 0.01 -0.62 0.41 0.04 -0.64 0.32 0.55 -0.3 -1.13 -1.83
28.24 27.82 28.98 28.05 27.42 27.47 27.65 28.78 28.27 27.2 27.58 27.41 27.29 28.25 30.74 29.17 27.3 27.32 27.28 27.49 27.44 27.74 27.99 28.62 27.59 27.96 28.64 27.68 27.45 28.3 29.13 29.83
0.06 0.04 0.95 0 0.34 0.29 0.13 0.6 0.07 0.65 0.18 0.36 0.52 0.06 7.47 1.36 0.49 0.47 0.52 0.27 0.32 0.07 0 0.38 0.17 0 0.4 0.11 0.31 0.09 1.27 3.33
0.0587488951 0.0333494385 0.9591885411 0.0024385536 0.3326880415 0.2806786726 0.1258767668 0.6102872527 0.0740976529 0.6380673163 0.1762246175 0.3490341940 0.5080712369 0.0641147170 7.5077971033 1.3713252372 0.4843659345 0.4623510855 0.5126044958 0.2600633144 0.3135597177 0.0671519358 0.0001240307 0.3904538868 0.1698568289 0.0019480664 0.4055946010 0.1031289121 0.2995479938 0.0928361310 1.2875218984 3.3550890669
-0.39 0.36 0.52 0.23 -0.15 0.08 0.24
28.39 27.64 27.48 27.77 28.15 27.92 27.76 28.01
0.15 0.13 0.28 0.06 0.02 0.01 0.06 26.31
0.1556439381 0.1277938463 0.2688242602 0.0549821140 0.0226034612 0.0059026027 0.0590496177
0
45.82
0.04 2.11 3.28 3.32 0.04 (120-2) 118 45.82 0.39 0.62
S2 S
Estimated Regression Function vs Data 4 3.5 3 2.5 2 1.5 1 0.5 0
RRR RRR RRR RRR RRRR RRR RRR RRR RRR RRR RRR RRR RRR ooo ooo ooo ooo oooo ooo ooo ooo ooo ooo ooo ooo ooo www www www www wwww www www www www www www www www 369 111 222 333 3444 555 666 677 788 899 991 111 111
egression Function vs Data
RR RRR RRR RRR RRR RRR RRRR oo ooo ooo ooo ooo ooo oooo ww www www www www www wwww 66 677 788 899 991 111 1111
Column B Column I
YHat
3.3 C 3.5 3.25 3 2.75 2.5 2.25 2 1.75 1.5 1.25 1 0.75 0.5 0.25 0
Column I
R RR RR R RR RR RR RR R RR RR RR RR RR R RR RR RR RR RR R RR RR o oooo ooo oooooo ooo oooo ooooooooo oooo ooo oooo w ww ww w ww ww ww ww w ww ww ww ww ww w ww ww ww ww ww w ww ww Ei
Column I
Yi 9.9 9.3 10.2 9.6 10.2 12.4 14.3 9.6 9.2 15.6 11.2 13.1
ei -1.12 0.81 -0.76 0.43 0.65 -0.17 1.62 1.79 -0.53 -3.78 0.74 0.32
2 1.5 1 0.5 0 -0.5
Y
11.22
-1 -1.5 -2 -2.5 -3 -3.5 -4 9
10
11
12
13
14
Column C
13
14
15
16
0.07 0.09 0.08 0.16 0.17 0.21 0.49 0.58 0.53 1.22 1.15 1.07 2.84 2.57 3.1
9 9 9 7 7 7 5 5 5 3 3 3 1 1 1
Y 3.89 2 2.38 3.35 1.86 3.81 1.81 2.48 2.7 3.02 2.31 1.58 2.95 3.81 2.75 2.12 2.19 3.04 2.83 3.32 3.07 2.88 2.39 2.29 3.89 3.9 3.03 3.36 3.06 3.38 3.16 2.45 2.51 2.88 2.54 2.58 2.86 3.42 2.72 3.61 3.52
X 14 15 16 16 16 18 18 18 18 18 18 18 19 19 19 20 20 20 20 20 20 20 20 20 20 21 21 21 21 21 21 21 21 21 22 22 22 22 23 23 23
Xi-X
Yi-Y
-10.73 -9.73 -8.73 -8.73 -8.73 -6.73 -6.73 -6.73 -6.73 -6.73 -6.73 -6.73 -5.73 -5.73 -5.73 -4.73 -4.73 -4.73 -4.73 -4.73 -4.73 -4.73 -4.73 -4.73 -4.73 -3.73 -3.73 -3.73 -3.73 -3.73 -3.73 -3.73 -3.73 -3.73 -2.73 -2.73 -2.73 -2.73 -1.73 -1.73 -1.73
0.81 -1.07 -0.7 0.28 -1.21 0.73 -1.27 -0.59 -0.37 -0.05 -0.76 -1.49 -0.12 0.73 -0.33 -0.96 -0.88 -0.04 -0.24 0.25 0 -0.2 -0.68 -0.79 0.81 0.82 -0.05 0.28 -0.01 0.31 0.09 -0.62 -0.57 -0.2 -0.53 -0.5 -0.22 0.34 -0.36 0.53 0.44
(Xi-X)(Yi-Y) (Xi-X)2 -8.7 10.45 6.1 -2.43 10.59 -4.92 8.53 3.98 2.52 0.34 5.13 10.03 0.7 -4.2 1.87 4.52 4.16 0.17 1.13 -1.18 0.01 0.92 3.21 3.72 -3.83 -3.07 0.17 -1.05 0.05 -1.14 -0.32 2.32 2.12 0.74 1.46 1.35 0.59 -0.94 0.62 -0.92 -0.76
115.03 94.58 76.13 76.13 76.13 45.23 45.23 45.23 45.23 45.23 45.23 45.23 32.78 32.78 32.78 22.33 22.33 22.33 22.33 22.33 22.33 22.33 22.33 22.33 22.33 13.88 13.88 13.88 13.88 13.88 13.88 13.88 13.88 13.88 7.43 7.43 7.43 7.43 2.98 2.98 2.98
Y-Hat 2.66 2.7 2.74 2.74 2.74 2.81 2.81 2.81 2.81 2.81 2.81 2.81 2.85 2.85 2.85 2.89 2.89 2.89 2.89 2.89 2.89 2.89 2.89 2.89 2.89 2.93 2.93 2.93 2.93 2.93 2.93 2.93 2.93 2.93 2.97 2.97 2.97 2.97 3.01 3.01 3.01
72 77 11 13 14 21 36 43 46 55 67 91 96 105 17 19 31 61 63 85 93 101 107 110
2.97 3.22 3.31 3.08 3.01 2.56 3.07 2.54 2.62 3.55 2.66 3.89 3.83 2.91 3.52 2.95
23 23 24 24 24 24 24 24 24 24 24 24 24 24 25 25
3.93 2.92 3.37 3.21 3.43 1.84 2.8 2.87
25 25 25 25 25 25 25 25
3.18 3.1 3.87 3.38 3.65 2.98 2.25 2.95 3.08 2.08 3.96 2.96 3.93 3.55 2.87 3.31
26 26 26 26 26 26 26 26 26 26 27 27 27 27 27 27
21
-1.73 -1.73 -0.73 -0.73 -0.73 -0.73 -0.73 -0.73 -0.73 -0.73 -0.73 -0.73 -0.73 -0.73 0.27
-0.11 0.15 0.24 0.01 -0.06 -0.51 0 -0.53 -0.46 0.47 -0.42 0.81 0.76 -0.16 0.45
0.19 -0.26 -0.17 -0.01 0.04 0.37 0 0.39 0.33 -0.34 0.3 -0.59 -0.55 0.12 0.12
2.98 2.98 0.53 0.53 0.53 0.53 0.53 0.53 0.53 0.53 0.53 0.53 0.53 0.53 0.08
3.01 3.01 3.05 3.05 3.05 3.05 3.05 3.05 3.05 3.05 3.05 3.05 3.05 3.05 3.08
0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27
-0.13 0.85 -0.15 0.3 0.13 0.35 -1.23 -0.27 -0.21
-0.03 0.23 -0.04 0.08 0.04 0.1 -0.34 -0.08 -0.06
0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08
3.08 3.08 3.08 3.08 3.08 3.08 3.08 3.08 3.08
1.28 1.28 1.28 1.28 1.28 1.28 1.28 1.28 1.28 1.28 2.28 2.28 2.28 2.28 2.28 2.28
0.1 0.03 0.8 0.3 0.57 -0.1 -0.82 -0.12 0.01 -1 0.89 -0.11 0.85 0.47 -0.2 0.23
0.13 0.03 1.02 0.38 0.73 -0.12 -1.05 -0.16 0.01 -1.27 2.02 -0.25 1.94 1.08 -0.46 0.53
1.63 1.63 1.63 1.63 1.63 1.63 1.63 1.63 1.63 1.63 5.18 5.18 5.18 5.18 5.18 5.18
3.12 3.12 3.12 3.12 3.12 3.12 3.12 3.12 3.12 3.12 3.16 3.16 3.16 3.16 3.16 3.16
d 10 26 29 34 40 41 44 54 78 83 8 16 24 39 51 53
28
86 87 92 97 3 23 25 27 33 79 108 109 118 120 9 45 60 75 88 95 117 12 38 42 56 59 65 112 6 18 47 115 7 68 84 104 15 80 106 Total Mean
2.92 3.35 2.18 3.11 3.78 3.73 3.56 2.42 2.93 4 3.62 3.79 3.91 2.95 0.5 2.07 3.94 3.92 3.96 3.75 3.8 3.54 3.29 2.65 3.69 3.32 2.64 3.6 3.87 3.01 2.18 1.49 2.96
27 27 27 27 28 28 28 28 28 28 28 28 28 28 29 29 29 29 29 29 29 30 30 30 30 30 30 30 31 31 31 31 32
3.71 3.88 3.59 3.25 3.51 3.72
32 32 32 33 34 35
368.89 3.07
2967 24.73
2.28 2.28 2.28 2.28 3.28 3.28 3.28 3.28 3.28 3.28 3.28 3.28 3.28 3.28 4.28 4.28 4.28 4.28 4.28 4.28 4.28 5.28 5.28 5.28 5.28 5.28 5.28 5.28 6.28 6.28 6.28 6.28
-0.15 0.27 -0.89 0.04 0.7 0.66 0.48 -0.65 -0.15 0.93 0.55 0.72 0.84 -0.13 -2.57 -1.01 0.86 0.85 0.88 0.68 0.73 0.46 0.22 -0.42 0.62 0.25 -0.43 0.53 0.79 -0.06 -0.89 -1.59
-0.35 0.62 -2.03 0.09 2.31 2.15 1.58 -2.14 -0.48 3.03 1.79 2.35 2.75 -0.41 -11 -4.3 3.68 3.62 3.77 2.89 3.1 2.45 1.14 -2.22 3.25 1.31 -2.28 2.77 4.96 -0.38 -5.59 -9.97
5.18 5.18 5.18 5.18 10.73 10.73 10.73 10.73 10.73 10.73 10.73 10.73 10.73 10.73 18.28 18.28 18.28 18.28 18.28 18.28 18.28 27.83 27.83 27.83 27.83 27.83 27.83 27.83 39.38 39.38 39.38 39.38
3.16 3.16 3.16 3.16 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.24 3.24 3.24 3.24 3.24 3.24 3.24 3.28 3.28 3.28 3.28 3.28 3.28 3.28 3.32 3.32 3.32 3.32
7.28 7.28 7.28 7.28 8.28 9.28 10.28
-0.11 0.64 0.8 0.52 0.17 0.44 0.64
-0.82 4.66 5.83 3.76 1.41 4.05 6.6
52.93 52.93 52.93 52.93 68.48 86.03 105.58
3.36 3.36 3.36 3.36 3.4 3.43 3.47
92.41
2379.93
368.89
ei
d
1.23 -0.7 -0.36 0.62 -0.88 0.99 -1.01 -0.33 -0.11 0.21 -0.5 -1.23 0.1 0.96 -0.1 -0.77 -0.7 0.15 -0.06 0.43 0.18 -0.01 -0.5 -0.6 0.99 0.9675810477 0.1 0.43 0.13 0.45 0.23 -0.48 -0.42 -0.05 -0.43 -0.39 -0.11 0.45 -0.29 0.6 0.51
19.77 21.7 21.36 20.38 21.88 20.01 22.01 21.33 21.11 20.79 21.5 22.23 20.9 20.04 21.1 21.77 21.7 20.85 21.06 20.57 20.82 21.01 21.5 21.6 20.01 20.03 20.9 20.57 20.87 20.55 20.77 21.48 21.42 21.05 21.43 21.39 21.11 20.55 21.29 20.4 20.49
ei2 1.49 0.49 0.13 0.37 0.78 0.98 1.02 0.11 0.01 0.04 0.26 1.53 0.01 0.9 0.01 0.6 0.49 0.02 0 0.18 0.03 0 0.25 0.37 0.98 0.93 0.01 0.18 0.02 0.2 0.05 0.23 0.18 0 0.19 0.16 0.01 0.2 0.09 0.35 0.25
1.5064394147 0.4850512258 0.1298040691 0.3803394662 0.7661208863 0.9861729868 1.0139232730 0.1095196763 0.0127548951 0.0445473487 0.2519413257 1.5127464299 0.0100471157 0.9143859519 0.0109756420 0.5968981286 0.4852401712 0.0220249863 0.0032026347 0.1869768295 0.0329089258 0.0001343704 0.2466034410 0.3655312753 0.9888476178 0.9362130839 0.0097182230 0.1828255524 0.0170514100 0.2039254427 0.0531676196 0.2279288560 0.1792836091 0.0029614224 0.1833947043 0.1515125102 0.0123756901 0.2031790971 0.0847236113 0.3587133045 0.2590064816
b1 b0 Point Estimate of 30 Point Estimate of 31 Difference Degrees of Freedom SSE MSE = σ2 σ
-0.04 0.21 0.26 0.04 -0.03 -0.48 0.03 -0.51 -0.43 0.5 -0.39 0.84 0.79 -0.13 0.44
21.04 20.79 20.74 20.96 21.03 21.48 20.97 21.51 21.43 20.5 21.39 20.16 20.21 21.13 20.56
0 0.04 0.07 0 0 0.24 0 0.26 0.19 0.25 0.16 0.7 0.61 0.02 0.19
0.0016870083 0.0461935267 0.0697486341 0.0013763853 0.0010824319 0.2331927316 0.0006811926 0.2559351469 0.1839554956 0.2511008763 0.1528030703 0.7057674505 0.6195258858 0.0173976978 0.1912072743
-0.14 0.84 -0.16 0.29 0.12 0.34 -1.24 -0.28 -0.22
21.14 20.16 21.16 20.71 20.88 20.66 22.24 21.28 21.22
0.02 0.7 0.03 0.08 0.01 0.12 1.56 0.08 0.05
0.0189688532 0.7094230318 0.0264802262 0.0813804221 0.0151961191 0.1185235819 1.5468579945 0.0810697264 0.0474052468
20.99
19.5
27.95 28.02 27.25 27.75 27.48 28.15 28.87 28.17 28.04 29.04 27.2 28.2 27.24 27.61 28.29 27.86
0 0 0.57 0.07 0.28 0.02 0.75 0.03 0 1.08 0.65 0.04 0.59 0.15 0.08 0.02
0.05 -0.02 0.75 0.25 0.52 -0.15 -0.87 -0.17 -0.04 -1.04 0.8 -0.2 0.76 0.39 -0.29 0.14
0.0029643030 0.0005087094 0.5586746457 0.0632247958 0.2729492098 0.0211861377 0.7630976161 0.0294309763 0.0015645653 1.0910942848 0.6377911672 0.0397530678 0.5815866506 0.1494736993 0.0849033031 0.0203399756
0.39 0.62
-0.24 0.18 -0.98 -0.05 0.58 0.53 0.35 -0.78 -0.27 0.8 0.42 0.59 0.71 -0.25 -2.74 -1.17 0.7 0.68 0.72 0.51 0.56 0.26 0.01 -0.62 0.41 0.04 -0.64 0.32 0.55 -0.3 -1.13 -1.83
28.24 27.82 28.98 28.05 27.42 27.47 27.65 28.78 28.27 27.2 27.58 27.41 27.29 28.25 30.74 29.17 27.3 27.32 27.28 27.49 27.44 27.74 27.99 28.62 27.59 27.96 28.64 27.68 27.45 28.3 29.13 29.83
0.06 0.04 0.95 0 0.34 0.29 0.13 0.6 0.07 0.65 0.18 0.36 0.52 0.06 7.47 1.36 0.49 0.47 0.52 0.27 0.32 0.07 0 0.38 0.17 0 0.4 0.11 0.31 0.09 1.27 3.33
0.0587488951 0.0333494385 0.9591885411 0.0024385536 0.3326880415 0.2806786726 0.1258767668 0.6102872527 0.0740976529 0.6380673163 0.1762246175 0.3490341940 0.5080712369 0.0641147170 7.5077971033 1.3713252372 0.4843659345 0.4623510855 0.5126044958 0.2600633144 0.3135597177 0.0671519358 0.0001240307 0.3904538868 0.1698568289 0.0019480664 0.4055946010 0.1031289121 0.2995479938 0.0928361310 1.2875218984 3.3550890669
-0.39 0.36 0.52 0.23 -0.15 0.08 0.24
28.39 27.64 27.48 27.77 28.15 27.92 27.76 28.01
0.15 0.13 0.28 0.06 0.02 0.01 0.06 26.31
0.1556439381 0.1277938463 0.2688242602 0.0549821140 0.0226034612 0.0059026027 0.0590496177
0
45.82
0.04 2.11 3.28 3.32 0.04 (120-2) 118 45.82 0.39 0.62
S2 S
Estimated Regression Function vs Data 4 3.5 3 2.5 2 1.5 1 0.5 0
RRR RRR RRR RRR RRRR RRR RRR RRR RRR RRR RRR RRR RRR ooo ooo ooo ooo oooo ooo ooo ooo ooo ooo ooo ooo ooo www www www www wwww www www www www www www www www 369 111 222 333 3444 555 666 677 788 899 991 111 111
egression Function vs Data
RR RRR RRR RRR RRR RRR RRRR oo ooo ooo ooo ooo ooo oooo ww www www www www www wwww 66 677 788 899 991 111 1111
Column B Column I
YHat
3.3 C 3.5 3.25 3 2.75 2.5 2.25 2 1.75 1.5 1.25 1 0.75 0.5 0.25 0
Column I
R RR RR R RR RR RR RR R RR RR RR RR RR R RR RR RR RR RR R RR RR o oooo ooo oooooo ooo oooo ooooooooo oooo ooo oooo w ww ww w ww ww ww ww w ww ww ww ww ww w ww ww ww ww ww w ww ww Ei
Column I
Yi 9.9 9.3 10.2 9.6 10.2 12.4 14.3 9.6 9.2 15.6 11.2 13.1
ei -1.12 0.81 -0.76 0.43 0.65 -0.17 1.62 1.79 -0.53 -3.78 0.74 0.32
2 1.5 1 0.5 0 -0.5
Y
11.22
-1 -1.5 -2 -2.5 -3 -3.5 -4 9
10
11
12
13
14
Column C
13
14
15
16
0.07 0.09 0.08 0.16 0.17 0.21 0.49 0.58 0.53 1.22 1.15 1.07 2.84 2.57 3.1
9 9 9 7 7 7 5 5 5 3 3 3 1 1 1
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