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Pearson r
correlation
Presented by;
Mah-e-Noor
M.Yaqoob
Correlation
• Correlation is the relationship or
connection between two or more things.
• Correlation is the study of relationship of
one variable to another.
• Interdependence of variable
Correlation
• Correlation is positive when both variables
increase or decrease together. e.g:
demand has increased and prices of
colors increase.
• Correlation is consider negative when one
increase and other variable decrease. e.g:
supply of hair colors has increased then
demand of color has decreased.
Pearson correlation
• It refers to the Pearson R correlation, a
statistical formula which is used to
measure strength between variable and
relationship.
• To determine the strong relation between
variables, its range from -1.00 to 1.00
• Positive
• Negative
Coefficient of correlation
• Correlation coefficient are expressed as
value between +1 to -1.
• When both variable increase or decrease
together, it would consider positive
correlation.
• The change of variable in opposite
direction would consider negative
correlation
• if value come in zero then no realtion.
Coefficient of correlation
• -1 0 +1
perfect negative perfect reliable
correlation
-0.39 poor adverse 0—0.39poor reliable
-0.40 -- -0.69 moderate 0.40—0.69 moderate
-0.70 -- -0.99 high o.70—0.99 high
Graphically
Graphically
Strength of Association Positive Negative
Small .1 to .3 -0.1 to -0.3
Medium .3 to .5 -0.3 to -0.5
Large .5 to 1.0 -0.5 to -1.0
Example
Male(x)
6
5
9
4
Female(Y)
7
5
2
6
Example
Example
x y
x2 y2 XY
6 7 36 49 42
5 5 25 25 25
9 2 81 4 18
4 6 16 36 24
24 20 158 114 109
solution
X= 24
Y= 20
X2= 158
Y2= 114
XY= 109
PUT THE VALUE GET THE ANSWER !
Statistics

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Statistics

  • 1.
  • 3. Correlation • Correlation is the relationship or connection between two or more things. • Correlation is the study of relationship of one variable to another. • Interdependence of variable
  • 4. Correlation • Correlation is positive when both variables increase or decrease together. e.g: demand has increased and prices of colors increase. • Correlation is consider negative when one increase and other variable decrease. e.g: supply of hair colors has increased then demand of color has decreased.
  • 5. Pearson correlation • It refers to the Pearson R correlation, a statistical formula which is used to measure strength between variable and relationship. • To determine the strong relation between variables, its range from -1.00 to 1.00 • Positive • Negative
  • 6. Coefficient of correlation • Correlation coefficient are expressed as value between +1 to -1. • When both variable increase or decrease together, it would consider positive correlation. • The change of variable in opposite direction would consider negative correlation • if value come in zero then no realtion.
  • 7. Coefficient of correlation • -1 0 +1 perfect negative perfect reliable correlation -0.39 poor adverse 0—0.39poor reliable -0.40 -- -0.69 moderate 0.40—0.69 moderate -0.70 -- -0.99 high o.70—0.99 high
  • 9. Graphically Strength of Association Positive Negative Small .1 to .3 -0.1 to -0.3 Medium .3 to .5 -0.3 to -0.5 Large .5 to 1.0 -0.5 to -1.0
  • 12. Example x y x2 y2 XY 6 7 36 49 42 5 5 25 25 25 9 2 81 4 18 4 6 16 36 24 24 20 158 114 109
  • 13. solution X= 24 Y= 20 X2= 158 Y2= 114 XY= 109 PUT THE VALUE GET THE ANSWER !