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For a certain data set the regression equation is y = 2 + 3x. The correlation coefficient between y and x in this data set _______.

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## Answers ( )

Answer:C. Must be 1Step-by-step explanation:The correlation coefficientof an equation represents the relation between the two variable ( dependent and independent )It lies between -1 to 1,

If an equation has

strongly positive correlationthen the value of correlation coefficient is1,If there is

no relationthen the value of correlation is0,If there is

strongly negative relationthen the value of correlation coefficient is-1,Here, the equation is,

y = 2 + 3x

Since, the value of y is increasing with increasing the value of x,

We can say that there is strong positive relation between the variables x and y,

Hence, by the above statements,

The correlation coefficient between y and x in this data set must be 1.Option ‘C’ is correct.