question archive Bivariate data obtained for the paired variables x andy are shown below, in the table labelled "Sample data
Bivariate data obtained for the paired variables x andy are shown below, in the table labelled "Sample data
Subject:StatisticsPrice: Bought3
Bivariate data obtained for the paired variables x andy are shown below, in the table labelled "Sample data." These data are plotted in the scatter plot in Figure A 1, which also displays the least-squares regression line for the data. The equation for this line is y = -5.75 +1.23): . _ A 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 R equation. Sample data Calculations y ;2—- x y y- r -.v m- -- 23,, Column 64.1380 58.9547 5.2300 S—end data _ 2 24 26 2 to Excel Figure 1 Answer the following: 1. For the data point (26.3, 24.7), the value of the residual is D. (Round your answer to at least 2 decimal places.) 2. The total variation in the sample y values is given by the _ which for these data is _ 3. 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 D. (Round your answer to at least 2 decimal places.) 4. The least-squares regression line given above is said to be a line which "best ?ts" the sample data. The term "best fits" is used because the line has an equation that minimizes the — which for these data is —- mmmm
