EMT211 Engineering Probability and Statistics
Semester I 2023/2024
Assignment 1
Title: ICE 1
Due date: 4th January 2024
Group members :
NO.
1.
NAME
KHOR YONG XIAN
NO MATRIK
163961
2.
MICHAEL LOW ZHENG YI
164469
3.
NG JAN LER
163150
4.
TAN SHAU HENG
161124
5.
THING HAN ZONG
164109
Lecturer: Dr.Ramdziah Md.Nasir
SCHOOL
MECHANICAL
ENGINEERING
MECHANICAL
ENGINEERING
MECHANICAL
ENGINEERING
MECHANICAL
ENGINEERING
MECHANICAL
ENGINEERING
 Data Collection
Data Collection
Height (cm) {x}
153
153
157
159
161
162
162
163
168
169
170
171
172
174
175
176
181
183
189
190
190
Weight (kg) {y}
60
65
66
70
80
71
66
74
76
72
72
88
75
89
76
85
84
88
95
89
94
Mean {x}
170.3809524
Mean {y}
77.85714286
 Data Plotting
Weight (kg) vs Height (cm)
y = 0,7829x - 55,527
R² = 0,7861
100
Weight (kg)
90
80
70
60
50
150
155
160
165
170
175
Height (cm)
180
185
190
195
Mean {x}
170.3809524
Mean {y}
77.85714286
r
0.886617515
Coefficient of Correlation (r) = 0.8866
 Residual Output
RESIDUAL OUTPUT
Observation
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
Predicted Y
Residuals
Standard Residuals
64.25035791
-4.25035791
-0.902321668
64.25035791
0.74964209
0.159143845
67.38178239 -1.381782391
-0.293342871
68.94749463 1.052505369
0.22343963
70.51320687 9.486793128
2.013980748
71.29606299 -0.296062992
-0.062852131
71.29606299 -5.296062992
-1.124317645
72.07891911 1.921080888
0.407832222
75.99319971 0.006800286
0.001443654
76.77605583 -4.776055834
-1.013923712
77.55891195 -5.558911954
-1.180118667
78.34176807 9.658231926
2.050376023
79.12462419 -4.124624195
-0.875629268
80.69033644 8.309663565
1.764084261
81.47319256 -5.473192555
-1.16192103
82.25604868 2.743951324
0.58252194
86.17032928 -2.170329277
-0.460745936
87.73604152 0.263958482
0.056036565
92.43317824 2.566821761
0.544918556
93.21603436 -4.216034359
-0.895035015
93.21603436 0.783965641
0.166430498
Standard deviation = 4.710468626
* RESIDUAL PLOT *
 Summary Output
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.886617515
R Square
0.786090617
Adjusted R Square
0.774832229
Standard Error
4.832838838
Observations
21
 ANOVA Test
ANOVA
df
Regression
Residual
Total
Intercept
X Variable 1
1
19
20
Coefficients Standard Error
-55.52662849 15.99744293
0.78285612 0.093687955
SS
1630.801135
443.7702935
2074.571429
MS
F
Significance F
1630.801135 69.82266 8.72622E-08
23.35633124
t Stat
P-value
Lower 95%
Upper 95% Lower 95.0% Upper 95.0%
-3.470969 0.002558 -89.00966135 -22.04359563 -89.00966135 -22.04359563
8.355995351 8.73E-08 0.586764976 0.978947265 0.586764976 0.978947265
* Height Line Fit Plot *