Q. 4.133 - Elementary Statistics

Question

The coefficient of determination of a set of data points is $0.70 y$ and the slope of the regression line is $-3.58$. Determine the linear correlation coefficient of the data.

Step-by-Step Solution

Answer

The linear correlation coefficient $=-0.842$

Step 1: Given Information

To find the linear correlation coefficient of data. 

Step 2: Explanation

Given information:

The coefficient of determination of the set of data points is $r=0.709$

The slope of the regression line $=-3.58$

Calculation:

From the given data, we have

The slope of the regression line is negative.

Then, the linear correlation coefficient

$$\begin{gathered} =-\sqrt{0.709} \\ =-0.842 \end{gathered}$$

Hence, the linear correlation coefficient $=-0.842$