1 Five observations of bivariate data \(( x , y )\) are given in the table.
| \(x\) | 7 | 8 | 12 | 6 | 4 |
| \(y\) | 20 | 16 | 7 | 17 | 23 |
- Find the value of Pearson's product-moment correlation coefficient.
- State what your answer to part (a) tells you about a scatter diagram representing the data.
- A new variable \(a\) is defined by \(\mathrm { a } = 3 \mathrm { x } + 4\). Dee says "The value of Pearson's product-moment correlation coefficient between \(a\) and \(y\) will not be the same as the answer to part (a)."
State with a reason whether you agree with Dee.