Question

 

Q1: Define the following terms:

a. correlation coefficient

b. scatter plot

c. bivariate relationship

Q2: Provide an example where the outlier is more important to the research than the other observations?

Q3: Identify when to use Spearman’s rho

Answer 1

1) Correlation Coefficient : A Statistically Relationship between Two variables.

Suppoes X is one Variable and Y is another variable,If X is Goes up the correlation coefficient indicates which way the Y variable moves and by how much.

Correlation Coefficient lies on the -1 to 1,when two variables X and Y have correlation coeff. is -1 the x is goes up by one unit and Y is goes down by one unit.

when two variables X and Y have correlation coeff. is 1 the x is goes up by one unit and Y is goes up by one unit.

2)Scatter plot- It is set of points plotted on a horizontal and vertical axes.

Scatter plot they can show the extent of correlation,if any,between the values of observed quantities or phenomena.

-If the Y-axis variables increases as the X-axis increases,the correlation is positive.

-If the Y-axis variables decreases as the X-axis increases or vice versa,the correlation is negative.

-If the variables points are drow any where of X-axis and Y-axis ,there is No correlation.

c) bivariate relationship - It is one of the simplest forms of quantitative analysis,It is the analysis of the relationship between the two variables.  bivariate relationship is a simple special case of multivariate analysis.

Q.3) Spearman's coeff. measures the strength and direction of association between two ranked variables.