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Simple linear regression: Explained and unexplained variation Bivariate data obtained for the paired variables x and y are shown below, in the table labeled
Simple linear regression: Explained and unexplained variation 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 -253.74-0.96x. 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 R y (-y) G-7)' 111.2 154.1 624.0004 50.5805 319.2654 117.2 134.1 24.8004 50.8084 146.6037 127.9 130.6 2.1904 0.1267 3.3709 137.6 115.2 193.7664 41.5251 55.8906 152.2 111.6 306.9504 15.7768 Send data to Excel Column sum: 1151.7080 Column sum: 158.8176 461.9061 Column sum: 987.0366 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 given by the (Choose one) which for these data is (Choose one) (b) The value 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 of 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 X G Espaol
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