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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
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 plot in Figure 1, which also displays the least-squares regression line for the data. The equation for this line is y = 4.69 -0.50x. In the "Calculations" table are calculations involving the observed ]-values, the mean y of these values, and the values y predicted from the regression equation. Sample data Calculations y G-J) 0.8 4.2 0.0081 1.1449 0.9604 1.9 4.5 0.5776 0.2704 1.6384 2.7 2.3 1.0816 0.0144 0.8464 4.1 3,1 0.2116 0.3364 0.0144 5.2 2.0 0.0081 1.2769 1.4884 1. Send data to Excel Column sum: Column sum: Column sum: 1.8870 3.0430 4.9480 Figure 1 Answer the following. (a) The variation in the sample y-values that is explained by the estimated linear relationship between x and y is X ? given by the (Choose one) which for these data is (Choose one) (b) 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.) (c) The least-squares regression line given above is said to be a line that "best fits" the sample data. The term "best fits" is used because the line has an equation that minimizes the (Choose one) . which for these data is (Choose one)
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