Regression Flashcards
(22 cards)
Scatterplot
Graph showing relationship between two interval-ratio variables.
Independent Variable
Variable plotted on the horizontal axis (X).
Dependent Variable
Variable plotted on the vertical axis (Y).
Regression Line
Line representing predicted relationship in scatterplot.
Y Intercept (a)
Value of Y when X is 0 in regression.
Slope (b)
Change in Y for each unit change in X.
Positive Relationship
Y increases as X increases; regression rises.
Negative Relationship
Y decreases as X increases; regression falls.
Linear Relationship
Straight-line relationship between two variables.
Non-Linear Relationship
Curved relationship between two variables.
Pearson’s r
Measure of linear association between two variables.
Strong Positive r
r value close to +1 indicates strong positive correlation.
Weak Negative r
r value close to -1 indicates weak negative correlation.
r² (Coefficient of Determination)
Proportion of variance explained by X in predicting Y.
Dummy Variable
Binary variable representing categorical data in regression.
Regression with Dummy Variables
Using categorical variables in regression analysis.
Statistical Significance of r
Testing if Pearson’s r is significantly different from zero.
Regression Prediction
Using regression line to estimate Y from X.
Strength of Relationship
Degree of clustering of dots around regression line.
Direction of Relationship
Slope indicating whether relationship is positive or negative.
Linearity Requirement
Assumption that relationship is linear for regression analysis.
Predicting Y’
Estimated value of Y based on regression equation.