Bivariate data obtained for the paired variables and y are shown below, in the t

Question

Bivariate data obtained for the paired variables 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 y = 566.09-1.16x . quares 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 Sample data Calculations 320 222.7 295.8 242.2 300.9 262.8 257.5 284.8 244.7 296.4 211.7 1134.3424 1503.8884 21.3444 303.4564 142.9938 2082.8270 248.4406 14.0026 80.6045 529.8283 260 0.7709 240 696.8544 111.6404 1588.34132542.1764 597.68184898.6220 5505.2080 220 Column 220 240 260 280 300 320 sums Figure 1

Explanation / Answer

1. Coefficient of determination (Regression sum of square);

Value = 4898.6220/ 5505.2080 = 0.8898 = 88.98%

2. 0.89

3. For x = 296.4,

y = 566.09 - 1.16*296.4 = 222.266

Hence,

Residual = 211.7 - 222.266 = -10.57

4. Error sum of square;

Value = 597.6818/ 5505.2080 = 0.1086

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