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Sample data Calculations 320- x y 222.7 223.0 300- 6.6203 1467.8860 1277.3476 245.4 240.1 280- 10.5885 236.7290 347.4496 256.7 261.3 260- 42.6801 15.7847 6.5536 275.1
Sample data Calculations 320- x y 222.7 223.0 300- 6.6203 1467.8860 1277.3476 245.4 240.1 280- 10.5885 236.7290 347.4496 256.7 261.3 260- 42.6801 15.7847 6.5536 275.1 259.8 240- 183.6296 213.4813 1.1236 305.0 309.5 220 35.4025 2007.9361 2576.5776 Column sum: Column sum: Column sum: 220 240 260 280 300 320 278.9210 3941.8171 4209.0520 Figure 1 Answer the following. (a) The variation in the sample y-values that is explained by the estimated linear relationship between x and y is X 5 ? given by the (Choose one) which for these data is 3941.8171 (b) The value r 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 r is . (Round your answer to at least 2 decimal places.) (C) 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 (Choose one) which for these data is (Choose one) V . regression sum of squares total sum of squares error suin of squaresEspanol Bivariate 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 = -4.5 + 1.01x. 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 x 320- y ( v-7)2 222.7 223.0 300- 6.6203 1467.8860 1277.3476 245.4 240.1 280- 10.5885 236.7290 347.4496 256.7 261.3 260 42.6801 15.7847 6.5536 275.1 259.8 240- 183.6296 213.4813 1.1236 305.0 309.5 220- 35.4025 2007.9361 2576.5776 Column sum: Column sum: Column sum: 220 240 260 280 300 320 278.9210 3941.8171 4209.0520 Figure 1 Answer the following. (a) The variation in the sample y-values that is explained by the estimated linear relationship between x and y is X ? given by the (Choose one) which for these data is 3941.8171 regression sum of squares total sum of squares error sum of squares (b) The value r 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 r is ]. (Round your answer to at least 2 decimal places.)
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