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Correlation Sample Assignment

Question: Score of 15 individuals in English are 20, 22, 18, 25, 27, 19, 23, 24, 17, 26, 27, 30, 28, 25, and 23 and in the Mathematics the scores are 35, 35, 35, 44, 48, 36, 38, 43, 46, 37, 47, 50, 50, 40, 40; Find the coefficient of correlation.

Sol:
Here N = 15
Scores in Scores in    

English(X)     Math (Y)          X2           Y2            XY
20            _____35__        400_        1225        700
22            _____35__        484_        1225        770
18            _____35__        324_        1225        630
25            _____44__        625_        1936        1100
27            _____48__        625_        2304        1296
19            _____36__        361_        1296        684
23            _____38__        529_        1444        874
24            _____43__        576_        1849        1032
17            _____46__        289_        2116        782
26            _____37__        672_        1369        962
27            _____47__        729_        2209        1269
30            _____50__        900_        2500        1500
28            _____50__        784_        2500        1400
25            _____40__        625_        1600        1000
23            _____40__        529_        1600        920
______________________________________________________
∑X=354    ∑Y=624    ∑X2=8560     ∑Y2=26398    ∑XY=14919


r =         N∑XY – (∑X) (∑Y)           
    √∑X2    - (∑X)2 √N  ∑Y2 – (∑Y)2

r =         15x 14919 – 354 x 624       
    √15 x 8560 – (354)2 √15 x 26398 – (624)2

  = 0.64

    

Other Sample Assignments in Statistics Homework Assignment :

Continious Distribution	Descrete Distributions
Descriptive Statistics	Nonparamatric Statistics
Probability	Sampling And Sampling Distribution
Statistical Inference Estimation For Single Popula	Simple Regression Analysis
Statistical Inference About 2 Population	Time Series Forcasting Index Number
Statistical Quality Control	Correlation
Index Number	Larger Sample Mean Proportions
Non Parametric Test	Probability Theory
Sampling Distribution	Simple and Multiple Linear Regression Analysis
Unvariate Analysis

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