Simple Regression

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regression_to_the_mean__point_differenti.xlsx

Sheet4

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.7289852478
R Square 0.5314194915
Adjusted R Square 0.5118953037
Standard Error 14.983361666
Observations 26
ANOVA
df SS MS F Significance F
Regression 1 6110.5883410552 6110.5883410552 27.2185196918 0.0000240038
Residual 24 5388.0270435601 224.501126815
Total 25 11498.6153846154
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept 12.4393780619 3.8939375592 3.1945499569 0.0038916843 4.4026859902 20.4760701337 4.4026859902 20.4760701337
6 0.9193001867 0.1762077872 5.2171371165 0.0000240038 0.5556251907 1.2829751827 0.5556251907 1.2829751827

Sheet5

Bin Frequency
-18 0
-7 0
-4 0
-3 0
1 4
3 0
3 0
5 0
6 3
6 0
7 0
10 2
10 0
10 0
10 0
14 2
21 4
21 0
21 0
21 0
22 0
27 0
28 3
28 0
31 1
52 4
58 1
More 3

Sheet6

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.7289852478
R Square 0.5314194915
Adjusted R Square 0.5118953037
Standard Error 11.8814830837
Observations 26
ANOVA
df SS MS F Significance F
Regression 1 3842.4286335479 3842.4286335479 27.2185196918 0.0000240038
Residual 24 3388.0713664521 141.1696402688
Total 25 7230.5
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept -0.3964089322 3.6854103086 -0.1075616821 0.9152375392 -8.0027219144 7.20990405 -8.0027219144 7.20990405
0 0.5780696004 0.1108020716 5.2171371165 0.0000240038 0.3493853657 0.806753835 0.3493853657 0.806753835

Sheet1

1st half x2 final
0 6
76 58
8 -3
14 3
28 31
36 28
56 28
28 21
6 10
20 -18
28 -7
0 14
20 5
62 52
6 10
20 10
42 21
42 7
68 27
6 10
18 6
8 -4
0 3
34 21
30 22
14 21
0 1

first half

final 0 76 8 14 28 36 56 28 6 20 28 0 20 62 6 20 42 42 68 6 18 8 0 34 30 14 0 6 58 -3 3 31 28 28 21 10 -18 -7 14 5 52 10 10 21 7 27 10 6 -4 3 21 22 21 1

Sheet2

Sheet3