Chapter 3.1 Flashcards
(55 cards)
a statistical tool used to measure the relationship between two or more variables; change in one us accompanied by the change in another
Correlation
a correlation in the same direction ; one variable goes up, the other goes up ; one variable goes down, the other goes down
Positive Correlation
A correlation in the opposite direction
Negative Correlation
if there is no relationship between two variables ; one variable changes, the other remains constant
Zero / No correlation
Enumerate types of correlation based on direction
- Positive C.
- Negative C.
- Zero / No C.
type of correlation when two variable are considered as under positive or negative correlation
simple correlation
type of correlation when more than teo variables are considered ; the correlation between them when all other variables are held constant, when the linear effects of all other variables on them are removed
Partial Correlation
type of correlation when more than two variables are considered; the correlation between one of them and its estimate based group consisting of the other variable
Multiple Correlation
enumerate types of correlation based on variables
- Partial Correlation
- Simple Correlation
- Multiple Correlation
type of correlation when the ratio of change is constant; when all the points on the scatter diagram looks like a straight line
Linear Correlation
type of correlation when the ratio of change is not constant ; all the points on the scatter diagram tend to lie near a smooth curve
non-linear correlation
enumerate the types of correlation based on form
- Linear Correlation
- Non Linear Correlation
enumerate the methods of determining correlation
- Scatter Diagram
- Karl Pearson’s Coefficient of Correlation
- Spearman’s Rank Correlation Coefficient
- Methods of Least Squares
- Regression Analysis
The simplest method to study the correlation between 2 variables; each pair of a variable is plotted on a graph in the form of dots thereby obtaining as many points the number of observations;
Scatter Diagram Method
true or false
the more points plotted scattered over the chart, the lesser is the degree of correlation between variables
true
true or false
the more the points plotted are closer to the line, the lower is the degree of correlation
false.
the more the points plotted are closer to the line, the 𝐡𝐢𝐠𝐡𝐞𝐫 is the degree of correlation
the chart on which the dots are plotted are also called
Dotogram
widely used mathematical method wherein the numerical expression is used to calculate the degree and direction of the relationship between continuous and linear related variables
Karl Pearson’s Coefficient of Correlation
Perfect positive correlation
r = +1
Perfect Negative Correlation
r= -1
no correlation
r = 0
perfect positive correlation: when all points lie on the straight line rising from the _______
lower left-hand corner to the upper right hand corner
when all points lie on the straight line rising from the lower left-hand corner to the upper right hand corner
perfect positive correlation
Perfect Negative Correlation: when all points lie on the straight line rising from the _______
upper left-hand corner to the lower right-hand corner