Chapter 3, Problem 1PT

To determine

To find: correct interpretation from the give statement

Answer to Problem 1PT

Option (d)is the correct interpretation

Explanation of Solution

Calculation:

Generally, the linear relationship between two variables is defined as follows: $y=a+bx$

Here, the linear relationship is based on the value of slope, b

It is known that,

  $b=r\times \frac{s_Y}{s_X}$

Where r is the correlation coefficient, $s_X$ and $s_Y$ are the standard deviations of X and Y respectively.

It is given that the correlation coefficient is zero.

Then, the slope of the linear relationship is also zero which indicates that there is no linear relationship between both the variables.

Hence, a correct interpretation of the given statement would be that there is no linear relationship between number of activities and grade point average for students at this school because a correlation coefficient of 0.

Conclusion:

Therefore, Option (d)is thecorrect interpretation