Suppose that the scatterplot of (log x, log y) shows a strong positive correlation close to 1. Which of the following are
true?
I. The variables x and y also have a correlation close to 1.
II. A scatterplot of (x, y) shows a strong nonlinear pattern.
III. The residual plot of the variables x and y shows a random pattern.
(a) I only
(b) II only
(c) III only
(d) I and II
(e) I, II, and III

Respuesta :

Answer:

(d) I and II

Step-by-step explanation:

The correlation is a measurement of a dependence between 2 variables. If the logarithm of the correlation function shows a linear tendency, it because the correlation between x and y shows a exponential tendency.

This mean that x and y are non linear correlated, but them are correlated.

For this type of data is used a non linear correlation technique know it as logarithm correlation.

Option III is incorrect because random patterns have a correlation value close to 0, which is not the case.