A numerical value describing and measuring characteristics of a relationship between variables is a correlation.

Question

A numerical value describing and measuring characteristics of a relationship between variables is a correlation. List and describe these characteristics (there are three). Lastly, give an example of all characteristics.

Answer 1

Looks like Chegg....

 

characteristics are: (1)  TYPE of correlation: linear, quadratic, sinusoidal, exponential

                            (2) STRENGTH of correlation: typically measured on a scale of 0 to 1, 1 is the strongest

                            (3) DIRECTION: is a positive (direct) correlation on a negative (inverse) correlation

 

 

 

Examples

 

linear relation: (1,2), (2,3), (3,4), (4,5)

quadratic : (1,1), (2,4), (3,9), (4,16)

exponential ( 1,10), (2,100), (3,1000), (4,10000)

sinusoidal (0,0), (pi/2, 1), (pi,0), (3*pi/2, -1), (2*pi, 0), (4*pi/2, 1)....

 

THese are STRONG coerrelations

 

 

Weak correlations

 

(1,5), (2,-3), (3, 10), (4, -7)  <--- certainly not linear

                                                  parabola will not fit

                                                  definitely not exponential

                                                 perhaps sinusoidal

 

Negative correlation:

  y = -x  (1,-1), (2,-2), (3,-3)

 

  Inverse relation:

  y = 1/x

  (1,1), (2,1/2), (3,1/3), (4,1/4)