Advertisements
Advertisements
Question
Can r lie outside the –1 and 1 range depending on the type of data?
Advertisements
Solution
No, the value of r cannot lie outside the range of -1 to 1. If r = -1, then there exists a perfect negative correlation, and if r = 1, then there exists a perfect positive correlation between the two variables. If at any point in time the calculated value of r is outside this range, then there must be some mistake committed in the calculation.
RELATED QUESTIONS
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.
Does zero correlation mean independence?
Can a simple correlation coefficient measure any type of relationship?
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 |
