For a certain data set the regression equation is y = 2 + 3x. the correlation coefficient between y and x in this data set
a. must be 0
b. is negative
c. must be 1
d. must be 3

C. Must be 1

Step-by-step explanation:

The correlation coefficient of an equation represents the relation between the  two variable ( dependent and independent )

It lies between -1 to 1,

If an equation has strongly positive correlation then the value of correlation coefficient is 1,

If there is no relation then the value of correlation is 0,

If there is strongly negative relation then 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.

picture below

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step-by-step