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What is a correlation analysis?
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Study of relationship between variables
a group of techniques to measure the association between two variables |
What kind of chart is used to show correlation analysis?
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Scatter diagram
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Independent variable
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X axis
variable that provides the basis for estimation. predictor varible |
Dependent variable
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Variable that is being predicted or estimated.
y axis |
Coefficient of correlation
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Describes the strength of the relationship between two sets of interval scaled or ratio scaled variables
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What is its symbol?
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R
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What value can it assume?
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-1.00 to +1.00 inclusively
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What do these values indicate?
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Perfect correlation. or perfectly related
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What happens when there is no relationship?
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R=0
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The strength of the correlation does not depend on the ____
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Direction. + or -
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Interpret r=.759
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Positve (direct) , strong (because it is close to 1.00)
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Coe of determination
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R squared and is a proportion or percent
acctual def: the proportion of the total variation in the dep variable Y that is explained or accounted for, by the variation in the independent variable X |
Does variable x cause variable y to increase with a correlation of .91?
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Not necissarily, it just means they have a association or relationship similar to one another
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Spurious correlation
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Two variables with a strong corrleation that have a relationship but not not cause one another
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What is the correlation of .759 due to?
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Chance
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