Cards In This Deck

• $$\begin{gathered} \text{True or False?} \\ \text{Coding data using }x=3u\text{ and }y=v-50\text{ will change the value of the Correlation Coefficient (}r\text{).} \end{gathered}$$
  $$\begin{gathered} \text{❌ False} \\ \text{Correct reasoning: Linear coding does not affect the Product Moment Correlation Coefficient (}r\text{).} \end{gathered}$$
• $\text{How do you find the regression line of }y\text{ on }x\text{ if you have calculated the line for coded variables }v\text{ on }u\text{ (where }y=v+c\text{ and }x=u+d\text{)?}$
  $$\begin{gathered} \text{1. Write down the calculated line: }v=a+bu\text{.} \\ \text{2. Substitute the coding expressions for }v\text{ and }u\text{ back into this equation.} \\ \text{3. Rearrange to make }y\text{ the subject (}y=...\text{).} \end{gathered}$$
• $$\begin{gathered} \text{True or False?} \\ \text{If variables are coded linearly (e.g., }x=\frac{u-10}{5}\text{), the Product Moment Correlation Coefficient (PMCC) }r\text{ changes.} \end{gathered}$$
  $$\begin{gathered} \text{❌ False} \\ \text{The PMCC }r\text{ is independent of linear coding.} \\ {r}_{xy}=r_{uv} \end{gathered}$$