Respuesta :
Answer:
[tex]r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}[/tex]
4. Changing the units of measurement of x or y does not change the value of the correlation r.
Correct a linear transformation for x and y as we can see in the formula defined for r, not affect the calculation of the correlation coefficient.
Step-by-step explanation:
Previous concepts
Pearson correlation coefficient(r), "measures a linear dependence between two variables (x and y). Its a parametric correlation test because it depends to the distribution of the data. And other assumption is that the variables x and y needs to follow a normal distribution".
In order to calculate the correlation coefficient we can use this formula:
[tex]r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}[/tex]
Solution to the problem
Let's analyze one by one the possible options:
1. The correlation always has the same units as the x variable but not the y variable.
False the correlation is an adimensional number without of units
2. The correlation always has the same units as the y variable but not the x variable.
False the correlation is an adimensional number without of units
3. A negative value for the correlation r indicates the data are strongly unassociated.
False when we got a negatie value for r means that we hae strong association but inversely proportional
4. Changing the units of measurement of x or y does not change the value of the correlation r.
Correct a linear transformation for x and y as we can see in the formula defined for r, not affect the calculation of the correlation coefficient.
The correct answer is that Changing the units of measurement of x or y does not change the value of the correlation r.
What is the correlation between two variables?
This is a term that is used to refer to the statistical relationship that is in existence between two different variables x and y.
X and Y could have a positive correlation. They could also have a negative correlation which means that they move in different directions.
Read more on correlations here:https://brainly.com/question/4219149
