Find Correlation Coefficient 



X  100  101  102  102  100  99  97  98  96  95  Y  98  99  99  97  95  92  95  94  90  91 
X  23  27  28  29  30  31  33  35  36  39  Y  18  22  23  24  25  26  28  29  30  32 
X  300  350  400  450  500  550  600  650  700  Y  800  900  1000  1100  1200  1300  1400  1500  1600 
ClassX  2  4  4  6  6  8  8  10  Y  3  4  2  1 
ClassX  20  25  25  30  30  35  35  40  40  45  45  50  Y  110  170  80  45  40  35 
ClassX  110  111  111  112  112  113  113  114  114  115  115  116  116  117  117  118  118  119  Y  600  640  640  680  700  780  830  900  1000 



Solution 


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Find Correlation Coefficient for Ungrouped Data

1. Psychological tests of intelligence and of engineering ability were applied to 10 students. Here is a record of ungrouped date showing intelligence ratio (I.R.) and engineering ratio (E.R.). Calculate the coefficient of correlation
Student: 
A 
B 
C 
D 
E 
F 
G 
H 
I 
J 
IR 
105 
104 
102 
101 
100 
99 
98 
96 
93 
92 
FR 
101 
103 
100 
98 
95 
96 
104 
92 
97 
94 
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2. Calculate correlation coefficient for following weights (In inches) fathers X and their sons Y
X 
65 
66 
67 
67 
68 
69 
70 
72 
Y 
67 
68 
65 
68 
72 
72 
69 
71 
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3. The following are the results of IT examination
Age of candidates 
Candidate appeared 
Successful candidate 
1314 
200 
124 
1415 
300 
180 
1516 
100 
65 
1617 
50 
34 
1718 
150 
99 
1819 
400 
252 
1920 
250 
145 
2021 
150 
81 
2122 
25 
12 
2223 
75 
33 
Calculate the coefficient of correlation between age and successful candidates in the examination?
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