Level:
Project ID:
1103134410
Accepted:
1
Clonable:
0
Easy:
0
The heights (\(\mathrm{cm}\)) of ten boys and their best performances (\(\mathrm{cm}\)) in standing long jump at the international athletic championship are listed in the following table. Determine the correlation coefficient \( r \) between height of boys and their longest jump. You can use a statistics mode of your calculator to carry out statistical computations. Round the result to four decimal places.
Based on the following scatterplot and the correlation coefficient interpret the strength of linear relationship between analysed variables.
\[ \begin{array}{|c|c|c|c|c|c|} \hline
\textbf{Boy's height (cm)} & 189 & 175 & 187 & 183 & 174 \\\hline \textbf{Length of the jump (cm)} & 231 & 207 & 214 & 223 & 202 \\\hline \\\hline
\textbf{Boy's height (cm)} & 193 & 179 & 169 & 186 & 183 \\\hline \textbf{Length of the jump (cm)} & 242 & 229 & 190 & 226 & 212 \\\hline \end{array} \]
strong linear relationship: \( r = 0{.}8628 \)
moderate linear relationship: \( r = 0{.}5542 \)
moderate linear relationship: \( r = 0{.}7444 \)
strong linear relationship: \( r = 0{.}9289 \)