Bivariate data obtained for the paired variables x and y are shown below, in the table labeled "Sample data.'I These data are plotted in the scatter plot in Figure A 1, which also displays the leastsquares regression line for the data. The equation for this line is y =414.060.57x. In the "Calculations" table are calculations involving the observed y-values, the mean 3 of these values, and the values y predicted from the regression equation. Sample data 224.3 283.4 235.9 290.0 262.9 246.4 276.9 263.5 305.4 241.6 Send data to Excel Answer the following. Calculations A 07? 002 0712 3' 450.6704 7.8905 339.2964 __ 213.6567 108.2224 626.0004 280 0.5975 317.0892 345.2164 .10.. 76.6150 52.8965 2.1904 240.. 624.9000 2.6179 546.6244 220-. Column sum: Column sum: Column sum: 1366.4397 488.7166 1859.3280 x //llllll> 220 240 260 280 300 320 Figure 1 Answer the following. (a) The leastsquares 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) V , which for these data is (Choose one) V . (b) 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) V , which for these data is (Choose one) V . (c) The value r2 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 r2 is I]. (Round your answer to at least 2 decimal places.) (a) 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) regression sum of squares error sum of squares total sum of squares(a) 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) 488.7166 1366.4397 (b) The van 1859.3280 le y-values that is explained by the estimated linear relationship between x and y is given which for these data(b) 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) regression sum of squares error sum of squares total sum of squares(b) The variation in the sample yvalues that is explained by the estimated linear relationship between x and y is given by the [(Choose one) V , which for these data is (Choose one) V . 488.7166 1366,4397 (c) The value r is the proportion of the total variation in the sam-1859.3280 explained by the estimated linear 2