. WEEK 9 EXERCISES: Correlations I. Determine if there is correlation between the daily allowance of students and their mean grade in all subjects. 1. Use Pearson r product moment correlation. 2. Test the hypothesis of whether there is significant correlation. a= 5% 1. X Allowance in peso. 120 150 100 120 80 100 150 Ex=820 X Allowance Step 4. Te in peso 120 150 100 120 80 100 150 Y Average Grade 88 90 85 87 92 85 89 2y=616 Te =. Interpretation: 2. Testing hypothesis Step 1. Ho: Step2. Step 3. C =____ r= test? Step 5. Decision: XY a = 10,560 13,500 8,500 10,140 7,360 8,500 13,350 2xy = 72 210 n(Exy)-(Ex)(EY) √n(x²)-(2x)²-√n(y²)-(y)² ?, df = Y Average Grade 88 ? X² 14,400 22,500 10,100 90 85 87 14,400 6,400 10,100 22,500 Ex² 100,200 92 85 89 H₂ 3. Use the same data of test II. And determine the value of spearman's rho rank coefficient of correlation. y² 7,744 8,100 7,225 7,569 8,464 7,225 7,921 Ey 54,248 Conclusion
. WEEK 9 EXERCISES: Correlations I. Determine if there is correlation between the daily allowance of students and their mean grade in all subjects. 1. Use Pearson r product moment correlation. 2. Test the hypothesis of whether there is significant correlation. a= 5% 1. X Allowance in peso. 120 150 100 120 80 100 150 Ex=820 X Allowance Step 4. Te in peso 120 150 100 120 80 100 150 Y Average Grade 88 90 85 87 92 85 89 2y=616 Te =. Interpretation: 2. Testing hypothesis Step 1. Ho: Step2. Step 3. C =____ r= test? Step 5. Decision: XY a = 10,560 13,500 8,500 10,140 7,360 8,500 13,350 2xy = 72 210 n(Exy)-(Ex)(EY) √n(x²)-(2x)²-√n(y²)-(y)² ?, df = Y Average Grade 88 ? X² 14,400 22,500 10,100 90 85 87 14,400 6,400 10,100 22,500 Ex² 100,200 92 85 89 H₂ 3. Use the same data of test II. And determine the value of spearman's rho rank coefficient of correlation. y² 7,744 8,100 7,225 7,569 8,464 7,225 7,921 Ey 54,248 Conclusion
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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PLEASE DONT USE EXCEL
Transcribed Image Text:WEEK 9 EXERCISES: Correlations
I. Determine if there is correlation between the daily allowance of students and
their mean grade in all subjects.
1. Use Pearson r product moment correlation.
2. Test the hypothesis of whether there is significant correlation. a= 5%
1.
X
Allowance.
in peso.
120
150
XY
88
10,560
90
13,500
22.500
85
8,500
10,100
11iii
87
10,140
14,400
92
7,360
6,400
85
8,500
13,350
Exy= 72,210 Σx2= 100,200
100
120
80
100
150
Ex=820
X
Allowance
in peso
120
Step 1. Ho:
Step2.
Step 3.
Step 4.
150
100
120
80
100
150
T₁ =
Y
Average
Tc=
Grade
Interpretation:
2. Testing hypothesis
89
2y=616
r=
C=_
test?
Step 5. Decision:
n(Exy)-(Ex) (Y)
Vn(Exi) - (Σκ)*) · Vn(Σy7) - (Σy)
?
a =
Y
Average
Grade
88
90
85
87
92
85
89
?, df =
X²
14,400
10,100
22,500
_H₂_
3. Use the same data of test II. And determine the value of spearman's
rho rank coefficientof correlation.
y²
7,744
8,100
7,225
7,569
8,464
7,225
7,921
2y2= 54,248
Conclusion.
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