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Calendar Business Sta aradeDOok Bivariate data obtained for the paired variables

ID: 3323470 • Letter: C

Question

Calendar Business Sta aradeDOok 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 y=0.72 +0.80x. 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 y of these values, and the values y predicted from the regression equation. Sanipåe data Calculations 08 1.7 1.7 2.1 32 26 42 34 48 5.5 18496 09216 0 2116 0.1156 5 9536 2.8900 0.9604 0.0484 1.0404 2 2500 0.1156 0.0004 0 4624 0 4624 0.8836 Figure 1 Answer the following: 1.The

Explanation / Answer

1. Total Sum of squares which for these data is 9.0520

2. Predicted value

y = 0.72+0.80*0.8 =1.36

Residual = 1.7-1.36 = 0.34

3. Total variation given By Total sum of squares which for these data is 9.0520

4. Proportion of variation explained = 7.1892/9.0520 = 0.79

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