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What does the correlation coefficient of -0.962 from a regression line mean?

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rosey-girl | Student, Grade 12 | (Level 1) Valedictorian

Posted May 10, 2013 at 1:37 AM via web

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What does the correlation coefficient of -0.962 from a regression line mean?

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pramodpandey | College Teacher | (Level 3) Valedictorian

Posted May 10, 2013 at 3:50 AM (Answer #1)

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The regression line

y = a + bx

slope b of the regression line is =`-0.962`

The correlation coefficient=r((S_y)/(S_x))=-.962

When the slope of the regression line is negative (meaning that the value of b is negative) the value of y decreases as x increases.  The strength of these relationships is given by the correlation coefficient (r) which can be calculated.For paired data (x,y) we denote the standard deviation  of the x data by sx and the standard deviation of the y data by sy. The formula for the

slope b of the regression line is -0.962 =`r((S_y)/(S_y))`  .

 

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