Respuesta :

correlation coefficient is r= -1

Answer:

The correlation coefficient for the data shown in the table is:

                        r=1

Step-by-step explanation:

We are given a data set as:

          x               y

         0              15

         5              10

         10              5

         15              0  

Cl;early from the data set we could see that as the x-value is increasing by a constant term i.e. 5 than the y-value is also decreasing by a constant term i.e. 5.

Hence, the function that can be best used to describe these data points is:

                        y= -x+15

This means that there is a negative correlation.

Also, the relationship is strictly linear as all the data point lie above these line.

Hence, we know that for a strong linear relationship.

       Hence, the correlation coefficient is: 1

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