Compute the coefficient of correlation between X and Y and hence obtain the equations of the regression lines from the following data: | X | 22 | 26 | 29 | 30 | 31 | 31 | 34 | 35 | |---|----|----|----|----|----|----|----|----| | Y | 20 | 20 | 21 | 29 | 27 | 24 | 27 | 31 |
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To do this, add up all the X values and divide by the number of X values, and do the same for Y. Mean of X (X̄) = (22 + 26 + 29 + 30 + 31 + 31 + 34 + 35) / 8 = 29.75 Mean of Y (Ȳ) = (20 + 20 + 21 + 29 + 27 + 24 + 27 + 31) / 8 = 24.875 Show more…
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Based on each set of data given, calculate the regression line using your calculator or other technology tool, and determine the correlation coefficient. $$ \begin{array}{|r|r|} \hline \multicolumn{1}{|c|} {\boldsymbol{x}} & \multicolumn{1}{|c|} {\boldsymbol{y}} \\ \hline 4 & 44.8 \\ \hline 5 & 43.1 \\ \hline 6 & 38.8 \\ \hline 7 & 39 \\ \hline 8 & 38 \\ \hline 9 & 32.7 \\ \hline 10 & 30.1 \\ \hline 11 & 29.3 \\ \hline 12 & 27 \\ \hline 13 & 25.8 \\ \hline 14 & 24.7 \\ \hline 15 & 22 \\ \hline 16 & 20.1 \\ \hline 17 & 19.8 \\ \hline 18 & 16.8 \\ \hline \end{array} $$
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Based on each set of data given, calculate the regression line using your calculator or other technology tool, and determine the correlation coefficient. $$ \begin{array}{|r|r|} \hline \boldsymbol{x} & \multicolumn{1}{|c|} {\boldsymbol{y}} \\ \hline 8 & 23 \\ \hline 15 & 41 \\ \hline 26 & 53 \\ \hline 31 & 72 \\ \hline 56 & 103 \\ \hline \end{array} $$
Based on the set of data given in Table 2.25, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient. Round to three decimal places of accuracy. $$\begin{array}{|c|c|c|c|c|c|}\hline x & {16} & {18} & {20} & {24} & {26} \\ \hline y & {106} & {110} & {115} & {120} & {125} \\ \hline\end{array}$$
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