(Solved): Bivariate data obtained for the paired variables x and y are shown below, in the table labeled "Sam ...

Bivariate data obtained for the paired variables $$x$$ and $$y$$ are shown below, in the table labeled "Sample data. "These data are plotted in the scatter olos in Figure 1. which also displays the least-sauates tegression line for the data. The equabion for this line is $$\hat{y}=159.05+0.41x$$. In the "Calculations" table are calculations involving the observed y-values, the mean $$\stackrel{?}{y}$$ of these values, and the values $$\hat{y}$$ predicted from the regression equation. Answer the following (a) The leastisquares regression line given above is sald to be a line that "best fits* the camnie daak The term "best fits" is used because the line has an equation that minimures the data is which for these (b) The total vaciation in the sample $$y$$-values is given by the Which for these data is (a) The ieast-squares regression line given above is said to be a line that "best fits" the samale dara, The term "best fits" is used because the line has an equation that minimizes the dota is which for these (b) The total variation in the sample $$y$$-values is given by the which for these data is (c) The proportion of the total variation in the sample $$y$$-values that can be explained by the estimated linear relationship between $$x$$ and $$y$$ is (Round your answer to at least 2 decimal places.)