CHAPTER 3: CORRELATION AND REGRESSION Flashcards
What is correlation analysis?
Relationship or Association of two variables
What is bivariate analysis?
To see the difference of the two scores of a person
What are the two ways to see the result of correlational analysis?
Scatter diagram and regression analysis
What is scatter diagram?
It is a way to see the relationship of two variables in a picture
What is regression analysis?
It is the analysis that a change of one variable (y) can predicts another variable (X)
Linear equation
What are two ways to get the equation of regression?
Intercept and slope
What is intercept?
The value is given to y when X is zero
What is slope?
The degree of relatedness of two variables
What is the value of intercept?
0 or zero
What will you do if the value of intercept is zero?
Use z scores to standardized units
What is the result of correlation analysis?
Correlation coefficient (r) It assess the magnitude and direction of relationship
What are the three interpretation of correlation?
Positive, Negative and No correlation
It is the influence of external that could be a reason of the relationship of two variables
Third variable
How to determine the strength of correlational relationship?
- Coefficient of Determination
2. Coefficient of Alienation or Non-determination
What is coefficient of determination?
% of variation of one variable to another variable
What is coefficient of alienation?
% of variation of unknown information of one variable to another variable
It is the best-fitting line and principle of least squares
Regression line or trend line
Regression line is describe by ___?
Regression equation
What is the formula of regression equation?
Y = a + bX
It is the ratio of variance to covariance
Regression coefficient (b)
It is the slope of regression line
Regression coefficient (b)
It is the sum of squared deviation around the mean
Sum of squares
It is the relationship of two random variables and how the scores vary
Covariance
It is the difference of the predicted value (Y) from the regression equation and observed value (X) or the vertical distance of the two
Residuals
It is the SD of regression obtained from regression equation
Standard error of Estimate
What is the mutlivariate analysis?
It studies 2 or more variables