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14 Cards in this Set
- Front
- Back
Scattergram
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The scores of the independent (X) variable are arranged on the horizontal axis and the scores of the dependent (Y) variables along the vertical axis.
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Regression Line
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The line of best fit through the scattergram.
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Purposes of a Scattergram
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1)Information about the existence, strength and direction of the relationship
2)Checks the relationship for linearity 3)Can be used to predict the score of a case |
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Existence of a Relationship on a Scattergram
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The regression line lies at an angle
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Strength of Relationship on a Scattergram
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The tighter the spread around the regression line, the stronger the relationship.
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Direction of Relationship on a Scattergram
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Positive slop shows positive relationship, negative slope-negative relationship and no slope indicates "zero relationship"
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Conditional Means of Y
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The averages of Y for each X
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Pearson's r
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Measure of Association for interval-ratio data. Ranges from (-1 to 1)
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Strength of Relationship for Interval Ratio Data
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weak: 0.00-0.30
moderate: 0.30-0.60 strong: greater than 0.60 (Same as ordinal) |
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Coefficient of Determination (r²)
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A PRE measure which can be multiplied by 100 gives us the percentage that X helps us predict Y (explained variation).
When this percent in subtracted from 100 it gives us the unexplained variation. |
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Explained Variation
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Stronger linear relationships between X and Y will mean a greater value of the explained variation.
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Making Assumptions for testing r for statistical significance.
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1)Random sampling
2)Interval-ratio 3)Bivariate normal distribution 4)Linear Relationship 5)Homoscedasticity 6)Sampling distribution is normal |
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Null Hypothesis for testing r for statistical significance.
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H0: ρ=0.0
(H1: ρ≠0.0) |
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Sampling distribution for testing r for statistical significance.
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t distribution
degrees of freedom = (N-2) |