Basic Statistics20785 marksNumerical: correlation coefficient calculationCorrelation coefficient definition and properties
Define correlation coefficient? Calculate the coefficient of correlation for the following ages (in years) of husbands and wives and interpret it. | Husband's age X: | 23 | 27 | 28 | 28 | 29 | 30 | 31 | 33 | 35 | 36 | |---|---|---|---|---|---|---|---|---|---|---| | Wife's age Y: | 18 | 20 | 27 | 21
Define correlation coefficient? Calculate the coefficient of correlation for the following ages (in years) of husbands and wives and interpret it.
| Husband's age X: | 23 | 27 | 28 | 28 | 29 | 30 | 31 | 33 | 35 | 36 |
|---|---|---|---|---|---|---|---|---|---|---|
| Wife's age Y: | 18 | 20 | 27 | 21 | 29 | 27 | 27 | 29 | 28 | 29 |
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The correlation coefficient is a statistical measure that expresses the degree and direction of the linear relationship between two variables. It ranges from $-1$ to $+1$: - $+1$ = perfect positive correlation - $-1$ = perfect negative correlation - $0$ = no linear correlation Pearson's correlati...