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:

In the "Calculations" table are calculations involving the observed y values, the mean of these values, and the values predicted from the regression equation.

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 total sum of squares, which for these data is which of the following: (69.3999, 1149.7347, or 1210.5720)?

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= 283.67-1.17 x Sample data x y 111.5 152.6 122.0 145.3 132.3 123.4 141.2 122.9 147.5 110.6 Column sums Calculations 2 (y-y)² (y-y)² (ŷ-y)² 468.2896 205.6356 57.1536 64.9636 414.5296 1210.5720 0.3782 19.0969 30.0194 19.6604 0.2450 69.3999 495.2850 99.4009 4.3306 156.1000 394.6182 1149.7347 160- 150+ 140+ 130+ 120+ 110+ 110 Figure 1 120 130 140 150 160 = 283.67-1.17 x Sample data x y 111.5 152.6 122.0 145.3 132.3 123.4 141.2 122.9 147.5 110.6 Column sums Calculations 2 (y-y)² (y-y)² (ŷ-y)² 468.2896 205.6356 57.1536 64.9636 414.5296 1210.5720 0.3782 19.0969 30.0194 19.6604 0.2450 69.3999 495.2850 99.4009 4.3306 156.1000 394.6182 1149.7347 160- 150+ 140+ 130+ 120+ 110+ 110 Figure 1 120 130 140 150 160

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The proportion of the total variati... View the full answer