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 ?= 6.84-1.16x. In the "Calculations" table are calculations involving the observed y values, the mean f! of these values, and the values 33' predicted iron the regression equation. Sample data Calculations J' (,_,,)= 0:)\" ya' 1.7424 1.2277 0.0449 0.1444 0.0027 0.1076 m 1.2012 0.3795 6.6564 5.0395 0.1050 13.2680 12.6649 0.6589 0 E ' Send data _ 1 2 3 4 5 6 to Excel Figure 1 Answer the following: 1. For the data point (3.2, 2.8), the value of the residual is n. (Round your answerto at least 2 decimal places.) 2. The leastsquares regression line given above is said to be a line which "best fits" the sample data. The term "best tits" is used because the line has an equation that minimizes the ? a, which for these data is ? a. 3. The variation in the sample yvalues that is not explained by the estimated linear relationship between x and y is given by the ? a which for these data is ? a. 2 4. The value r is the proportion of the total variation in the sample yvalues that is explained by the 2 estimated linear relationship between xand y. Forthese data, the value of r is I]. (Round your answer to at least 2 decimal places.) Clear | Undo m Next >> ' ' Explain I 2. The leastsquares regression line given above is said to be a line which "best fits" the sampie data. The _ term "best tits" is used because the iine has an equation that minimizes the which for these data is ' ? a. error sum of squares regression sum of squares total sum of squares alues that is not explained by the estimated linear relationship between x n above is said to be a line which "best fits" the sampie data. The was an equatiqn that minimizes the Jr these data { ? 13.2680 12.6649 ated linear relationship between x 3. The variation in the sample yvalues that is not explained by the estimated linear relationship between x and yis given byt I ? which for these data is ? a. error sum of squares regression sum of squares 2 total sum of squares 4.Thevaluer ist . . .. n the sample yvalues that is explained by the 3. The variation in the sample yvalues that is not explained by the estimated linear relationship between x and yis given by the ? a, which for these data I ? 13.2680 12.6649 0.6589 2 4. The value r is the proportion of the total variation in the sample yvalue . - . by the