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Question
The correlation coefficient
Options
r = `± sqrt("b"_"xy" xx "b"_"yx")`
r = `1/("b"_"xy" xx "b"_"yx")`
r = bxy × byx
r = `± sqrt(1/("b"_"xy" xx "b"_"yx")`
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Solution
r = `± sqrt("b"_"xy" xx "b"_"yx")`
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RELATED QUESTIONS
In the following data one of the value of y is missing. Arithmetic means of x and y series are 6 and 8 respectively. `(sqrt(2) = 1.4142)`
| x | 6 | 2 | 10 | 4 | 8 |
| y | 9 | 11 | ? | 8 | 7 |
Estimate missing observation.
Calculate the coefficient of correlation between X and Y series from the following data.
| Description | X | Y |
| Number of pairs of observation | 15 | 15 |
| Arithmetic mean | 25 | 18 |
| Standard deviation | 3.01 | 3.03 |
| Sum of squares of deviation from the arithmetic mean | 136 | 138 |
Summation of product deviations of X and Y series from their respective arithmetic means is 122.
Example for positive correlation is
The correlation coefficient from the following data N = 25, ∑X = 125, ∑Y = 100, ∑X2 = 650, ∑Y2 = 436, ∑XY = 520
The variable which influences the values or is used for prediction is called
If two variables moves in decreasing direction then the correlation is
If r = – 1, then correlation between the variables
Calculate the correlation coefficient from the following data:
∑X = 125, ∑Y = 100, ∑X2 = 650, ∑Y2 = 436, ∑XY = 520, N = 25
If both variables X and Y increase or decrease simultaneously, then the coefficient of correlation will be:
If the points on the scatter diagram indicate that as one variable increases the other variable tends to decrease the value of r will be:
