Week 3 Notes Flashcards
correlation and regression analysis
used to study the relationship between two variables
correlation analysis
a group of techniques to measure association btwn two variables
scatter diagram
one way of looking at the relationship between to variables
- a chart that portrays the relationship between two variables
independent variable
explanatory or predictor variable (X-axis)
- provides the basis for estimation
- predictor variable
dependent variable
response variable on the Y-axis
- variable that is being predicted or estimated
coefficient of correlation
measure of the linear strength of the relationship between two sets of interval-scaled or ratio-scaled variables
- AKA Pearson’s product moment correlation coefficient
- AKA Pearson’s r
- value may range from - 1.00 to +1.00 (perfect negative to positive correlation)
correlation in excel
=CORREL (highlight X values, highlight Y values) Press ENTER
coefficient of determination
r^2
- reports the strength of the association
- has a range of 0.00 - 1.00 (%100)
regression equation
an equation that defines the linear relationship between two variables
- used to estimate Y based on X
least squares principle
minimizing sum of the squares of the vertical distances (residual or error) btwn that actual Y values & predicted values of y
residual values
= observed value - predicted value
Least squares regression line
line that minimizes sum of the squared errors (or residuals)
multiple regression
set of techniques used to analyze the relationship between two or more independent variables and a dependent variable