Davon21
10.02.2020 •
Mathematics
Which of the following statements is correct?
1. The correlation always has the same units as the x variable but not the y variable.
2. The correlation always has the same units as the y variable but not the x variable.
3. A negative value for the correlation r indicates the data are strongly unassociated.
4. Changing the units of measurement of x or y does not change the value of the correlation r.
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Ответ:
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:
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.
Ответ:
please can you ask in English