4. In a survey 10 randomly selected men had their systolic blood pressure, \(x\), and weight, \(w\), measured. Their results are as follows
| Man | \(\boldsymbol { A }\) | \(\boldsymbol { B }\) | \(\boldsymbol { C }\) | \(\boldsymbol { D }\) | \(\boldsymbol { E }\) | \(\boldsymbol { F }\) | \(\boldsymbol { G }\) | \(\boldsymbol { H }\) | \(\boldsymbol { I }\) | \(\boldsymbol { J }\) |
| \(x\) | 123 | 128 | 137 | 143 | 149 | 153 | 154 | 159 | 162 | 168 |
| \(w\) | 78 | 93 | 85 | 83 | 75 | 98 | 88 | 87 | 95 | 99 |
- Calculate the value of Spearman's rank correlation coefficient between \(x\) and \(w\).
- Stating your hypotheses clearly, test at the \(5 \%\) level of significance, whether or not there is evidence of a positive correlation between systolic blood pressure and weight.
The product moment correlation coefficient for these data is 0.5114
- Use the value of the product moment correlation coefficient to test, at the \(5 \%\) level of significance, whether or not there is evidence of a positive correlation between systolic blood pressure and weight.
- Using your conclusions to part (b) and part (c), describe the relationship between systolic blood pressure and weight.