(a) The variation in the sample y values that is explained by the estimated linear relationship between x and y is given by the ? which for these data is (b) The value r is the proportion of the total...

Extracted text: (a) The variation in the sample y values that is explained by the estimated linear relationship between x and y is given by the ? which for these data is (b) The value r is the proportion of the total variation in the sample y values that is explained by the estimated linear relationship between x and y. For these data, the value 2 of r is . (Round your answer to at least 2 decimal places.) (c) The least-squares regression line given above is said to be a line which "best fits" the sample data. The term "best fits" is used because the line has an equation that minimizes the ? v, which for these data is ?


Extracted text: Bivariate data obtained for the paired variables x and y are shown below, in the table labelled "Sample data." These data are plotted in the %3D scatter plot in Figure 1, which also displays the least-squares regression line for the data. The equation for this line is y = 2.90+0.98x . In the "Calculations" table are calculations involving the observed y values, the mean y of these values, and the values y predicted from the regression equation. Sample data Calculations 80+ y 75+ y-y. 0.2601 y-y y. 55.5 57.8 90.0601 80.6404 70- 60.6 60.8 2.2141 20.1781 35.7604 55+ 65.6 69.8 6.8225 0.1665 9.1204 50+ 68.5 67.7 5.4289 10.5625 0.8464 55+ 76.0 77.8 0.1764 112.3600 121.4404 50+ Column 14.9021 233.3271 247.8080 sums 50 55 60 65 70 75 80 Send data to Excel Figure 1