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V Bivan'ate data obtained for the paired variablesx and J: are shown below, in the table labeled Sample data. These data are plotted in the
V Bivan'ate data obtained for the paired variablesx and J: are shown below, in the table labeled "Sample data." These data are plotted in the scatter PM in Figure A 1, which also displays the least-squares regression line for the data. The equation for this line is J.' =498.220.92x. A In the "Calculations" table are calculations involving the observed }'-values, the mean )3 of these values, and the values J.' predicted from the regression equation. Sample data Calculations 223.4 310.4 , ,_ , __ 2396.9216 313.5333 1105.693) 234.9 259.0 _ _ _ 0.1936 534.1645 314.0196 265.8 244.8 -_ F 214.3296 78.9253 33.131) 2260 261.1 _,_ 2.3536 282.2400 229.2196 295.?" 221.9 _ 1409.2516 18.2842 1106493? Send data to Excel Column sum: Column sum: Column sum: 4223.4520 12211824 29885599 Answer the following. (a) The variation in the sampley-values that is explained by the estimated linear relationship between x and y is given X a total sum of squares, error sum of squares or regression sum of squares 4223 .4 52 0 29885599 (b) The proportion of the total variation in the sample }'-values that can be explained by tne 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 tsll the sample data. The term "best ts" is used because the line has an equation that minimizes the (Choose one] V , which for these data is [Choose one} I total sum of squares, error sum of squares or regression sum of squares 4223.4520 2988.5599
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