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प्रश्न
Interpret the values of r as 1, –1, and 0.
उत्तर
The value of r being 1 implies that there is a perfect positive correlation between the two variables involved. A high value of r (i.e. close to 1) represents a strong positive linear relationship between the two variables.
If r = -1, then the correlation is perfectly negative. A negative value of r indicates an inverse relation. A low value of r (i.e. close to -1) represents a strong negative linear relationship between the variables. On the other hand, if the value of r = 0, then it implies that the two variables are uncorrelated to each other. But this should not be misunderstood as the variables are independent of each other. The value of r equals zero confirms only the non-existence of any linear relation but the variables may be non-linearly related to each other.
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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?
Can a simple correlation coefficient measure any type of relationship?
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 |
