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Bio Stat 4 5

The document contains calculations of correlation coefficients (r) between variables for different datasets. The correlation coefficients were calculated to measure the strength and direction of linear relationships between two continuous variables for the datasets on: 1. Age 2. Civil status 3. Educational attainment 4. Monthly income 5. Distance 6. Awareness and compliance

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ELaine Nadera-Sarmiento
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52 views6 pages

Bio Stat 4 5

The document contains calculations of correlation coefficients (r) between variables for different datasets. The correlation coefficients were calculated to measure the strength and direction of linear relationships between two continuous variables for the datasets on: 1. Age 2. Civil status 3. Educational attainment 4. Monthly income 5. Distance 6. Awareness and compliance

Uploaded by

ELaine Nadera-Sarmiento
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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AGE

∑ x =98 ∑ xy =277.1 ∑ x 2= 292


∑ y = 109.9

N ∑ xy- ∑ x∑y
r= 2
√[N ∑ x −(∑ x ¿) ² ¿ ¿ ¿
( 39 ) ( 277.1 )−( 98 ) (109.9)
= 2 2
√[39 ( 292 ) −( 98 ) ][39 ( 315.87 )−( 109.9 ) ]
10,806.9−10,770.2
=
√[ ( 11,388 )−( 9,604 ) ] [12,318.93−12,078.01]
36.7
=
√( 1,784 ) (240.92)
26.7
=
√ 429,801.28
36.7
= 655.5923123

= 0.055979912
or
0.056
CIVIL STATUS

∑ x =76 ∑ x ²=158 ∑ xy =215


∑ y = 109.9 ∑ y ²=315.87
N ∑ xy- ∑ x∑y
r= 2
√[N ∑ x −(∑ x ¿) ² ¿ ¿ ¿
39 ( 215 )−( 76 ) (109.9)
= 2 2
√[39 ( 158 ) −( 76 ) ][39 ( 315.87 )−( 109.0 ) ]
8,385−8,352.4
=
√[ ( 6,162 ) −( 5,776 ) ] [(12,318.93)−(12,078.01)]
32.6
=
√( 386 ) (240.92)
32.6
=
√ 92,995.12
32.6
= 304.9510125

= 0.106902416
or
0.107
EDUCATIONAL ATTAINMENT

∑ x =155 ∑ x ²=6+3 ∑ xy =441.9


∑ y = 109.9 ∑ y ²=315.87
N ∑ xy- ∑ x∑y
r= 2
√[N ∑ x −(∑ x ¿) ² ¿ ¿ ¿
(39) ( 441.9 )−( 155 ) (109.9)
= 2 2
√[(39)( 673 )−( 155 ) ][(39) ( 315.87 )−( 109.0 ) ]
17,234.1−17.034 .5
=
√[ ( 26,247 )−( 24,025 ) ] [(12,318.93)−(12,078.01)]
199.6
=
√( 2,222 ) (240.92)
199.6
=
√ 535,324.24
199.6
= 731.6585542

= 0.272804847
or
0.273
MONTHLY INCOME

∑ x =78 ∑ x ²=186 ∑ xy =224.3


∑ y = 109.9 ∑ y ²=315.87
N ∑ xy- ∑ x∑y
r= 2
√[N ∑ x −(∑ x ¿) ² ¿ ¿ ¿
(39) ( 224.3 ) −( 78 ) (109.9)
= 2 2
√[(39)( 186 )−( 78 ) ][(39) ( 315.87 )−( 109.9 ) ]
8,747.7−8,572.2
=
√[ ( 7,254 )−( 6,084 ) ] [(12,318.93)−(12,078.01)]
175.5
=
√( 1,170 )( 240.92)
175.5
=
√ 281,876.4
175.5
= 530.920333

= 0.330558068
or
0.331
DISTANCE

∑ x =49 ∑ x ²=69 ∑ xy =137.5


∑ y = 109.9 ∑ y ²=315.87
N ∑ xy- ∑ x∑y
r= 2
√[N ∑ x −(∑ x ¿) ² ¿ ¿ ¿
(39) ( 137.5 ) −( 49 ) (109.9)
= 2 2
√[(39)( 69 )−( 49 ) ][(39)( 315.87 ) −( 109.9 ) ]
5,362.5−5,385.1
=
√[ ( 2,691 ) −( 2,401 ) ] [(12,318.93)−(12,078.01)]
−22.6
=
√( 290 ) (148,566,313)
−22.6
=
√ 43,148,566,313
−22.6
= 207,722.3298

= –0.000108799
AWARENESS & COMPLIANCE

∑ x =109.9 ∑ x ²=315.87 ∑ xy =160.2


∑ y = 57.125 ∑ y ²=84.7656
N ∑ xy- ∑ x∑y
r= 2
√[N ∑ x −(∑ x ¿) ² ¿ ¿ ¿
(39) (106.2 ) −( 109.9 ) (57.125)
= 2 2
√[(39)( 315.87 )−( 109.9 ) ][(39) ( 84.7656 )−( 57.125 ) ]
6,247.8−6,278.0375
=
√[ ( 12 , , 318.93 )−( 12,078.01 ) ] [(3,305.8584)−(3,263.265625)]
−30.2375
=
√( 240.92 ) ( 42.592775)
−30.2375
=
√ 10,261.45135
−30.2375
= 101.2988221

= –0.298498041
or
= –0.298

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