sararushdi8861 sararushdi8861
  • 23-12-2020
  • Mathematics
contestada

Find the coefficient of correlation between and X and Y if covariance between X and Y is 15 and the variance of X and Y are respectively 10 and 25

Respuesta :

ajeigbeibraheem
ajeigbeibraheem ajeigbeibraheem
  • 24-12-2020

Answer:

0.95

Step-by-step explanation:

[tex]Correlation \ coefficient \ (r) = \dfrac{covaraince \ between \ X \ and \ Y }{SD_X \times SD_Y }[/tex]

[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{10^{1/2} \times 25^{1/2} }[/tex]

[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{3.162 \times 5 }[/tex]

[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{15.81 }[/tex]

[tex]Correlation \ coefficient \ (r) \simeq 0.95[/tex]

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