Bivariate data obtained for the paired variables x and y are shown below, in the table labelled "Sample data." These dat

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Bivariate Data Obtained For The Paired Variables X And Y Are Shown Below In The Table Labelled Sample Data These Dat 1 (50.83 KiB) Viewed 107 times

Bivariate data obtained for the paired variables x and y are shown below, in the table labelled "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 = 434.98 -0.69x. 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 320+ x y (x-2) ? | 69 - 7)? | (x-7² 300+ 224.3 298.3 327.1396 555.6863 1735.5556 280+ 236.1 259.7 153.0416 238.1158 9.3636 260+ 255.5 251.6 50.1972 4.1820 25.4016 275.7 241.4 11.2024 141.4434 232.2576 240-+ 305.9 232.2 68.7407 1071.3184 597.3136 220+ Column sums 610.3215 2010.7459 2599.8920 LA 뭰 220 20 300 320 Send data to Excel Figure 1 Answer the following: 1. For the data point (235.1, 259.7), the value of the residual is I. (Round your answer to at least 2 decimal places.) 2. The least-squares regression line given above is said to be a line which "best fits" the sample data. The term "best fits" is used because the line has an equation that minimizes the? ✓ which for these data is ? 3. The variation in the sample y values that is not explained by the estimated linear relationship between x and y is given by the ? V, which for these data is? 4. 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 I. (Round your answer to at least 2 decimal places.)