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प्रश्न
Can a simple correlation coefficient measure any type of relationship?
उत्तर
No, the simple correlation coefficient cannot measure any type of relationship. The simple correlation coefficient can measure only the direction and magnitude of the linear relationship between the two variables. It cannot measure non-linear relationships like quadratic, trigonometric, cubic, etc. Therefore, in such cases, the purview of the simple correlation coefficient falls short. For example, the simple correlation coefficient may depict that X and Y are not correlated in the equation X = Y2, hence it may be concluded that both the variables are independent, but such a conclusion may be wrong.
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संबंधित प्रश्न
If rxy is positive the relation between X and Y is of the type ______
If rxy = 0 the variable X and Y are ______
Of the following three measures which can measure any type of relationship.
Can r lie outside the –1 and 1 range depending on the type of data?
Does zero correlation mean independence?
Interpret the values of r as 1, –1, and 0.
Calculate the correlation coefficient between the heights of fathers in inches (X) and their sons (Y)
|
X |
65 |
66 |
57 |
67 |
68 |
69 |
70 |
72 |
|
Y |
67 |
56 |
65 |
68 |
72 |
72 |
69 |
71 |
Calculate the correlation coefficient between X and Y and comment on their relationship:
|
X |
-3 |
-2 |
-1 |
1 |
2 |
3 |
|
Y |
9 |
4 |
1 |
1 |
4 |
9 |
Calculate the correlation coefficient between X and Y and comment on their relationship.
|
X |
1 |
3 |
4 |
5 |
7 |
8 |
|
Y |
2 |
6 |
8 |
10 |
14 |
16 |
