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Blvariate data obtained for the paired variables x and y are shown below, in the table labeled Sample data. These data are plotted in the

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Blvariate 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 = 201.94 - 0.52x. 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 "-7) 107.6 146.1 150- 138.7684 0.0125 136.1422 117.7 145.4 160- 122.7664 21.7529 41.1651 132.8 123.4 130- 119.2464 89.9463 2.0621 141.0 131.6 120 7.3984 8.8804 32.4900 152.5 125.1 n10- 85.0084 6.0516 136.4224 Send data to Excel Column sum: Column sum: Column sum: 180 120 150 140 150 160 473.1880 126.6437 348.2818 Figure 1 Answer the following. (a) The variation in the sample y-values that is not explained by the estimated linear relationship between x and y is X ? given by the (Choose one) which for these data is (Choose one) 138.7684 0.0125 136.1422 117.7 145.4 first pull down 122.7664 21.7529 140 41.1651 132.8 123.4 box on both a 119.2464 89.9463 141.0 2.0621 131.6 120 and c choose 7.3984 8.8804 32.4900 152.5 125.1 from: total sum 85.0084 6.0516 136.4224 Send data to Excel Column sum: Column sum: Column sum: 160 120 130 140 150 160 of squares, 473.1880 126.6437 348.2818 Figure 1 regression sum or error sum of Answer the following. squares (a) The variation in the sample y-values that is not explained by the estimated linear relationship between x and y is ? given by the (Choose one) V, which for these data is (Choose one) second pull (b) The value r is the proportion of the total variation in the sample y-values that is explained by the estimated linear down box on relationship between x and y. For these data, the value of r is . (Round your answer to at least 2 decimal both a and c places.) choose from: 348.2818, (c) The least-squares regression line given above is said to be a line which "best fits" the sample data. The term "best 473.1880 or fits" he line has an equation that minimizes the (Choose one) V, which for these - Pic Stitch 126.6437

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