Calculate correlation coefficient between two variables and interpret the value X\^2 Y\^2 (X)(Y) X Y 13 8 169 64 104 15 10 225 100 150 19 11 361 121 209 23 13 529 169 299 25 15 625 225 375 95 57 1909 679 1137 b) Calculate the equation of the estimated regression line ^\n y=a+bx
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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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Based on each set of data given, calculate the regression line using your calculator or other technology tool, and determine the correlation coefficient. $$ \begin{array}{|r|r|} \hline \boldsymbol{x} & \multicolumn{1}{|c|} {\boldsymbol{y}} \\ \hline 3 & 21.9 \\ \hline 4 & 22.22 \\ \hline 5 & 22.74 \\ \hline 6 & 22.26 \\ \hline 7 & 20.78 \\ \hline 8 & 17.6 \\ \hline 9 & 16.52 \\ \hline 10 & 18.54 \\ \hline 11 & 15.76 \\ \hline 12 & 13.68 \\ \hline 13 & 14.1 \\ \hline 14 & 14.02 \\ \hline 15 & 11.94 \\ \hline 16 & 12.76 \\ \hline 17 & 11.28 \\ \hline 18 & 9.1 \\ \hline \end{array} $$
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Use the regression equation to predict the value of y for x = -2.1. Assume that the variables x and y have a significant correlation.
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