Using the following data, if each of the five Y scores were multiplied by 3.5, what would be the effect on the calculated r? $\begin{array}{llllll}
\text { Subject } & X & Y & X^{2} & Y^{2} & X Y \
1 & 8 & 7 & 64 & 49 & 56 \
2 & 9 & 10 & 81 & 100 & 90 \
3 & 3 & 5 & 9 & 25 & 15 \
4 & 4 & 5 & 16 & 25 & 20 \
5 & \underline{1} & \underline{3} & \underline{1} & \underline{9} & \underline{3} \
\Sigma & 25 & 30 & 171 & 208 & 184
\end{array}$
A) It would remain the same.
B) It would increase.
C) It would decrease.
D) It would depend on the shape of the distribution.

Question

Quizplus · Accepted Answer

Multiplying all Y scores by a constant (in this case, 3.5) does not affect the Pearson correlation coefficient (r), as r measures the strength and direction of a linear relationship between two variables, not their scale.

Using the Following Data, If Each of the Five Y