The following sample observations were randomly selected. x53634468y1315712131195 Click here for the Excel Data File Determine t
he coefficient of correlation and the coefficient of determination. Interpret the association between x and y. (Round your coefficient of determination to 4 decimal places. Round all other answers to 2 decimal places. Negative values should be indicated by a minus sign.)
Using technology, we could obtain the correlation Coefficient (R) using the Pearson correlation Coefficient calculator :
R = -0.8908 ; This means that there is a strong negative relationship between x and y. That is, an increase in x will lead to a corresponding decrease in y and vice versa.
The Coefficient of determination (R²) ; is obtained by taking the squared value of R
R² = (-0.8908)² = 0.7935 ; This means that about 79.35% of the variation is y is explained by the regression line.
Volume of the prism is given by: Volume=length×width×height but V=<span>18x^3+5x^2-2x V=x(18x^2+5x-2) V=x(9x-2)(2x+1) Hence the possible expression for the dimensions of the shipping box is x by (9x-2) by (2x+1)</span>
