SEU Statistics Worksheet

The proposed hypothesis/assumptions between these variables, which are age and gender, are related to patients having a stroke or other effective variables.

based on the pervious analysis  that you did, write report has two sections include: (one page)

Results

a written description of your analysis results, describe what was examined and the conclusions you made from the dataset followed by relevant visualization.

Conclusion

In this section restate the main results of your analysis and provide any future recommendations.

I will upload the previous work so you can write the report.

Descriptive Statistics
Descriptive Statistics showing relationship between age and stroke for both males and
females
Gender
Mean
Standard Error
Median
Mode
Standard Deviation
Sample Variance
Kurtosis
Skewness
Range
Minimum
Maximum
Sum
Count
Age
Stroke
1.55556 Mean
69.7051 Mean
0.03255 Standard Error
0.64549 Standard Error
2 Median
72 Median
2 Mode
78 Mode
0.49797 Standard Deviation 9.87402 Standard Deviation
0.24797 Sample Variance 97.4964 Sample Variance
-1.96623 Kurtosis
-1.01523 Kurtosis
-0.22505 Skewness
-0.54206 Skewness
1 Range
34 Range
1 Minimum
48 Minimum
2 Maximum
82 Maximum
364 Sum
16311 Sum
234 Count
234 Count
1
0
1
1
0
0
#DIV/0!
#DIV/0!
0
1
1
234
234
Descriptive Statistics for Relationship between Stroke and Age in Males
Male
Age
Stroke
Mean
Standard Error
Median
Mode
Standard Deviation
Sample Variance
Kurtosis
Skewness
Range
Minimum
Maximum
Sum
Count
1 Mean
69.4327 Mean
0 Standard Error
0.92883 Standard Error
1 Median
71 Median
1 Mode
78 Mode
0 Standard Deviation 9.47225 Standard Deviation
0 Sample Variance 89.7236 Sample Variance
#DIV/0! Kurtosis
-1.19166 Kurtosis
#DIV/0! Skewness
-0.33617 Skewness
0 Range
34 Range
1 Minimum
48 Minimum
1 Maximum
82 Maximum
104 Sum
7221 Sum
104 Count
104 Count
1
0
1
1
0
0
#DIV/0!
#DIV/0!
0
1
1
104
104
Descriptive Statistics for Relationship between Stroke and Age in Females
Female
Age
Stroke
Mean
2 Mean
69.9231 Mean
1
Standard Error
Median
Mode
Standard Deviation
Sample Variance
Kurtosis
Skewness
Range
Minimum
Maximum
Sum
Count
0 Standard Error
0.89593 Standard Error
2 Median
73 Median
2 Mode
79 Mode
0 Standard Deviation 10.2152 Standard Deviation
0 Sample Variance 104.351 Sample Variance
#DIV/0! Kurtosis
-0.88929 Kurtosis
#DIV/0! Skewness
-0.68639 Skewness
0 Range
34 Range
2 Minimum
48 Minimum
2 Maximum
82 Maximum
260 Sum
9090 Sum
130 Count
130 Count
0
1
1
0
0
#DIV/0!
#DIV/0!
0
1
1
130
130
Regression Analysis Showing Relationship Between Stroke and Age
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.28139 Correlation
R Square
0.07918
Adjusted R Square
0.07826
Standard Error
0.40681
Observations
999
ANOVA
df
SS
MS
14.18831622 14.1883
165.000873 0.1655
179.1891892
F
Significance F
85.73137233 1.22805E-19
Coefficients Standard Error
t Stat
-0.50082
0.080423738 -6.22728
0.01142
0.001232846 9.25912
P-value
Lower 95%
6.98509E-10 -0.658640144
1.22805E-19 0.008995801
Regression
Residual
Total
Intercept
X Variable 1
1
997
998
RESIDUAL OUTPUT
Observation
Predicted Y
1 0.0471
2 0.0471
3 0.0471
Residuals
-0.047102485
-0.047102485
-0.047102485
4
5
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47
0.0471
0.0471
0.0471
0.0471
0.0471
0.0471
0.05852
0.05852
0.05852
0.05852
0.05852
0.05852
0.05852
0.05852
0.06993
0.06993
0.06993
0.06993
0.06993
0.06993
0.06993
0.06993
0.06993
0.06993
0.06993
0.08135
0.08135
0.08135
0.08135
0.08135
0.08135
0.08135
0.08135
0.08135
0.08135
0.08135
0.08135
0.09276
0.09276
0.09276
0.09276
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0.09276
0.09276
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48
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0.09276
0.09276
0.09276
0.09276
0.09276
0.09276
0.10418
0.10418
0.10418
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0.10418
0.11559
0.11559
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0.11559
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0.11559
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0.12701
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0.12701
0.13842
0.13842
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0.16125
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0.17267
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0.1955
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0.20691
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0.20691
0.20691
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0.21833
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0.24116
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224
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0.26399
0.26399
0.26399
0.26399
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0.2754
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0.28682
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0.30965
0.30965
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0.32106
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355
0.41238
0.41238
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0.05852
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0.08135
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0.38955
0.40097
0.40097
0.40097
0.40097
0.41238
0.41238
0.41238
0.41238
0.41238
0.41238
0.41238
0.4238
0.4238
0.4238
0.4238
0.4238
0.4238
0.43521
0.43521
0.43521
0.43521
0.43521
0.0471
0.05852
0.05852
0.06993
0.06993
0.06993
0.08135
0.08135
0.08135
0.09276
0.09276
0.10418
0.10418
0.11559
0.610445385
0.610445385
0.610445385
0.610445385
0.610445385
0.610445385
0.610445385
0.610445385
0.599030314
0.599030314
0.599030314
0.599030314
0.587615243
0.587615243
0.587615243
0.587615243
0.587615243
0.587615243
0.587615243
0.576200172
0.576200172
0.576200172
0.576200172
0.576200172
0.576200172
0.564785101
0.564785101
0.564785101
0.564785101
0.564785101
0.952897515
0.941482444
0.941482444
0.930067373
0.930067373
0.930067373
0.918652302
0.918652302
0.918652302
0.907237231
0.907237231
0.89582216
0.89582216
0.884407089
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
0.11559
0.11559
0.12701
0.12701
0.13842
0.13842
0.14984
0.14984
0.14984
0.14984
0.14984
0.16125
0.16125
0.17267
0.17267
0.18408
0.18408
0.1955
0.1955
0.21833
0.21833
0.21833
0.21833
0.24116
0.24116
0.25257
0.25257
0.26399
0.26399
0.2754
0.2754
0.2754
0.2754
0.2754
0.28682
0.28682
0.28682
0.29823
0.29823
0.29823
0.29823
0.29823
0.30965
0.30965
0.884407089
0.884407089
0.872992018
0.872992018
0.861576947
0.861576947
0.850161876
0.850161876
0.850161876
0.850161876
0.850161876
0.838746805
0.838746805
0.827331734
0.827331734
0.815916663
0.815916663
0.804501592
0.804501592
0.78167145
0.78167145
0.78167145
0.78167145
0.758841308
0.758841308
0.747426237
0.747426237
0.736011166
0.736011166
0.724596095
0.724596095
0.724596095
0.724596095
0.724596095
0.713181024
0.713181024
0.713181024
0.701765953
0.701765953
0.701765953
0.701765953
0.701765953
0.690350882
0.690350882
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
0.30965
0.32106
0.32106
0.32106
0.32106
0.32106
0.33248
0.33248
0.34389
0.34389
0.34389
0.35531
0.35531
0.35531
0.35531
0.36672
0.36672
0.36672
0.36672
0.36672
0.36672
0.37814
0.37814
0.37814
0.37814
0.37814
0.37814
0.37814
0.38955
0.38955
0.38955
0.38955
0.38955
0.38955
0.38955
0.38955
0.38955
0.40097
0.40097
0.40097
0.40097
0.40097
0.40097
0.40097
0.690350882
0.678935811
0.678935811
0.678935811
0.678935811
0.678935811
0.66752074
0.66752074
0.656105669
0.656105669
0.656105669
0.644690598
0.644690598
0.644690598
0.644690598
0.633275527
0.633275527
0.633275527
0.633275527
0.633275527
0.633275527
0.621860456
0.621860456
0.621860456
0.621860456
0.621860456
0.621860456
0.621860456
0.610445385
0.610445385
0.610445385
0.610445385
0.610445385
0.610445385
0.610445385
0.610445385
0.610445385
0.599030314
0.599030314
0.599030314
0.599030314
0.599030314
0.599030314
0.599030314
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
0.40097
0.40097
0.40097
0.40097
0.40097
0.40097
0.41238
0.41238
0.41238
0.41238
0.41238
0.41238
0.41238
0.41238
0.41238
0.41238
0.4238
0.4238
0.4238
0.4238
0.4238
0.4238
0.4238
0.4238
0.43521
0.43521
0.43521
0.43521
0.599030314
0.599030314
0.599030314
0.599030314
0.599030314
0.599030314
0.587615243
0.587615243
0.587615243
0.587615243
0.587615243
0.587615243
0.587615243
0.587615243
0.587615243
0.587615243
0.576200172
0.576200172
0.576200172
0.576200172
0.576200172
0.576200172
0.576200172
0.576200172
0.564785101
0.564785101
0.564785101
0.564785101
Correlation
gender
gender
age
stroke
age
1
0.02566086
1
-0.0145314 0.28139056
stroke
1
Age
Upper 95%
Lower 95.0%Upper 95.0%
-0.343 -0.65864 -0.343001703
0.01383
0.009 0.013834341
Frequency
47
0
52
14
57
24
62
25
67
22
72
34
77
37
82
78
Stroke Frequencies at Different Ages Histogram
Frequency
Bin
34
24
25
57
62
22
14
0
47
52
67
Age
72
Histogram
78
37
77
82
gender
age
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
stroke
48
48
48
48
48
48
48
48
48
49
49
49
49
49
49
49
49
50
50
50
50
50
50
50
50
50
50
50
51
51
51
51
51
51
51
51
51
51
51
51
52
52
52
52
52
52
52
52
52
52
52
52
52
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Gender
Mean
Standard Error
Median
Mode
Standard Deviation
Sample Variance
Kurtosis
Skewness
Range
Minimum
Maximum
Sum
Count
1.555555556
0.032553263
2
2
0.497969171
0.247973295
-1.966230967
-0.225052015
1
1
2
364
234
0
Gender
Mean
Standard Error
Median
Mode
Standard Deviation
Sample Variance
Kurtosis
Skewness
Range
Minimum
Maximum
Sum
Count
1
0
1
1
0
0
#DIV/0!
#DIV/0!
0
1
1
104
104
0
Gender
Mean
Standard Error
Median
Mode
Standard Deviation
Sample Variance
Kurtosis
Skewness
Range
Minimum
Maximum
Sum
Count
2
0
2
2
0
0
#DIV/0!
#DIV/0!
0
2
2
260
130
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
54
54
54
54
54
54
54
54
54
54
55
55
55
55
55
55
55
55
56
56
56
56
56
56
56
56
56
56
56
56
57
57
57
57
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
57
57
57
57
57
57
57
57
57
57
57
57
57
58
58
58
58
58
58
58
58
58
58
58
59
59
59
59
59
59
59
59
59
59
59
60
60
60
60
60
60
60
60
60
61
61
61
61
61
61
61
61
61
61
61
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
61
61
61
61
61
62
62
62
62
62
62
62
62
62
62
62
62
62
62
63
63
63
63
63
63
63
63
63
63
63
63
63
64
64
64
64
64
64
64
64
64
65
65
65
65
65
65
65
65
65
66
66
66
66
66
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
66
67
67
67
67
67
67
67
67
67
67
67
68
68
68
68
68
68
69
69
69
69
69
69
69
70
70
70
70
70
70
70
70
71
71
71
71
71
71
71
71
71
71
71
71
72
72
72
72
72
72
72
73
73
73
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
73
73
74
74
74
74
74
75
75
75
75
75
75
75
75
76
76
76
76
76
76
76
76
77
77
77
77
78
78
78
78
78
79
79
79
79
79
80
80
80
80
80
80
80
81
81
81
82
82
82
82
82
82
82
48
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
48
48
48
48
48
48
48
48
48
48
48
48
48
48
49
49
49
49
49
49
49
49
49
49
49
49
49
49
49
49
49
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
51
51
51
51
51
51
51
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
51
51
51
51
51
51
51
51
51
51
51
51
51
51
52
52
52
52
52
52
52
52
52
52
52
52
52
52
52
52
52
52
52
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
54
54
54
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
54
54
54
54
54
54
54
54
54
54
54
54
54
54
54
55
55
55
55
55
55
55
55
55
55
55
55
55
55
55
55
55
55
56
56
56
56
56
56
56
56
56
56
56
56
56
56
56
57
57
57
57
57
57
57
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
57
57
57
57
58
58
58
58
58
58
58
58
58
58
58
58
59
59
59
59
59
59
59
59
59
59
59
59
59
59
59
59
59
60
60
60
60
60
60
60
60
60
60
60
60
61
61
61
61
61
61
61
61
61
61
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
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62
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66
0
0
0
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0
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0
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66
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0
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0
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78
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48
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51
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54
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1
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48
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73
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1
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81
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82
1
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1
Age
Stroke
Mean
69.70512821 Mean
Standard Error 0.645485203 Standard Error
Median
72 Median
Mode
78 Mode
Standard Deviation
9.874024936 Standard Deviation
Sample Variance 97.49636844 Sample Variance
Kurtosis
-1.015229171 Kurtosis
Skewness
-0.54206017 Skewness
Range
34 Range
Minimum
48 Minimum
Maximum
82 Maximum
Sum
16311 Sum
Count
234 Count
Age
#DIV/0!
#DIV/0!
Class Width
0 Class Limits
1 Lower
Upper
1
45
234
50
234
55
60
65
70
75
1
80
0
1
1
0
0
Stroke
Mean
69.43269231 Mean
Standard Error 0.928830846 Standard Error
Median
71 Median
Mode
78 Mode
Standard Deviation
9.472253218 Standard Deviation
Sample Variance 89.72358103 Sample Variance
Kurtosis
-1.191658973 Kurtosis
Skewness
-0.33616853 Skewness
Range
34 Range
Minimum
48 Minimum
Maximum
82 Maximum
Sum
7221 Sum
Count
104 Count
Age
1
0
1
1
0
0
#DIV/0!
#DIV/0!
0
1
1
104
104
Stroke
Mean
69.92307692 Mean
Standard Error
0.89593366 Standard Error
Median
73 Median
Mode
79 Mode
Standard Deviation
10.21521542 Standard Deviation
Sample Variance 104.3506261 Sample Variance
Kurtosis
-0.889286821 Kurtosis
Skewness
-0.686393861 Skewness
Range
34 Range
Minimum
48 Minimum
Maximum
82 Maximum
Sum
9090 Sum
Count
130 Count
1
0
1
1
0
0
#DIV/0!
#DIV/0!
0
1
1
130
130
49
54
59
64
69
74
79
84
Class Boundaries
Lower
Upper
44.5
49.5
54.5
59.5
64.5
69.5
74.5
79.5
Midpoints
49.5
54.5
59.5
64.5
69.5
74.5
79.5
84.5
47
52
57
62
67
72
77
82
Part1
•
For the original data, it can be seen that there is no direct relationship between age and
hypertension, with hypertension cases occurring randomly throughout all ages. There is
also no correlation between gender and hypertension.
•
There is also no direct correlation between age or gender and heart diseases, with the
condition occurring randomly for gender and age. A person can get heart disease
regardless of gender and age.
•
It can be seen that there is a direct correlation between age and stroke, with stroke
occurrence being more prevalent in old age when compared to young age.
•
There is also no direct correlation between a person’s smoking status and stroke. This
means a person can get a stroke whether they smoke or not.
•
The average glucose level is also independent of the age of a person.
•
Generally, there is no direct correlation between a person’s marital status, work type,
residence type, and BMI.
Part 2
Descriptive Statistics
Measures of Central Tendency
The following descriptive statistics were carried out to determine the relationship between
age and stroke:
•
Descriptive Statistics showing the relationship between age and stroke for both males and
females.
•
Descriptive Statistics for Relationship between Stroke and Age in Males
•
Descriptive Statistics for Relationship between Stroke and Age in
Females
The mean, median, and mode were obtained for the three categories with mean ages of 69.7,
69.4, and 69.9, respectively. This shows that stroke cases are more prevalent for both males and
females in older ages.
Data Spread
The descriptive statistics also gave the standard deviation, variance, Kurtosis, and
skewness. For the combined male and female data, the spread of the data is described by the
values below:
Standard Deviation 9.874025
Sample Variance
97.49637
Kurtosis
-1.01523
Skewness
-0.54206
The high standard deviation and variance show that the data is more spread out. The
Kurtosis is negative, which shows that the number of extreme data values is low compared to a
normal distribution. The skewness is also negative, indicating that the distribution is skewed to
the left.
Hypothesis Testing
The correlation and regression analysis were carried out to test the hypothesis for age and
stroke. For both cases, Pearson’s R correlation coefficient gave a value of 0.2814, which shows a
medium positive correlation between a person’s age and the occurrence of stroke. That is, the
probability of occurrence of stroke increases with an increase in age but with a medium effect.
The R-squared value is relatively low (7.9%), which shows that the model is not a good fit for
the data. Therefore, the hypothesis that there is a direct relationship between age and the
occurrence of stroke is supported.
Visual Representation
The histogram plot for the data shows that the frequency of occurrence of stroke is higher
if the age is higher, with 82 years having the highest frequency at 78 and 52 having the lowest
frequency at 14. This shows that stroke is more prevalent in old age.