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14 Cards in this Set

  • Front
  • Back
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.
Regression Line
The line of best fit through the scattergram.
Purposes of a Scattergram
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
Existence of a Relationship on a Scattergram
The regression line lies at an angle
Strength of Relationship on a Scattergram
The tighter the spread around the regression line, the stronger the relationship.
Direction of Relationship on a Scattergram
Positive slop shows positive relationship, negative slope-negative relationship and no slope indicates "zero relationship"
Conditional Means of Y
The averages of Y for each X
Pearson's r
Measure of Association for interval-ratio data. Ranges from (-1 to 1)
Strength of Relationship for Interval Ratio Data
weak: 0.00-0.30
moderate: 0.30-0.60
strong: greater than 0.60

(Same as ordinal)
Coefficient of Determination (r²)
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.
Explained Variation
Stronger linear relationships between X and Y will mean a greater value of the explained variation.
Making Assumptions for testing r for statistical significance.
1)Random sampling
3)Bivariate normal distribution
4)Linear Relationship
6)Sampling distribution is normal
Null Hypothesis for testing r for statistical significance.
H0: ρ=0.0
(H1: ρ≠0.0)
Sampling distribution for testing r for statistical significance.
t distribution
degrees of freedom = (N-2)