CEks HEL WORKSHEETINBOX REPORT OPTIONS EnglishDaniela Diaz Calculator Gradebook
ID: 3324973 • Letter: C
Question
CEks HEL WORKSHEETINBOX REPORT OPTIONS EnglishDaniela Diaz Calculator Gradebook Calendar Business Stat .. ivariate data obtained for the paired variables x and y are shown below, in the table labelled "Sample data." These data are lotted in the scatter plot in Figure 1, which also displays the least-squares regression line for the data. The equation for this line is 5.31+0.94 x n the "Calculations" table are calculations involving the observed y values, the mean y of these values, and the values predicted from the regression equation Sample data Calculations 53.6 57.7 60.7 58.3 658 70.0 69.2 67 75.8 778 12.9119 15.6183 07090 16.3054 104.8986 40240 16.5486 8 0542 6.5434 74.3044 64.3204 3.5424 2.1904 .5326 131.7904 Column 250.443236,7029 86.18 055 6065o 75 so Figure 1 Answer the following: 1. The varilation in the sampie yvalues nat is explained by the estimated linear relationship between x and vis given by the t B, which tor these datais 2 The vaue e i la the proportion ot the sotal vaniation in the sample y values that is explained by the estimated inear relationship between x and y. For these data, no value of r2 is 0 (Round your answer to at least 2 decimal places.) 3. The least-squares regression ine given above is said to bo a line erm "best fits" is used because the ine has an equation that minimizes the which "best fits" the sample data. The 3 which for these data is dualisá.(Rond your answer to at least 2 decimal For the data point (607, 583) the value of the places.)Explanation / Answer
1) regression sun of square,250.4432
2)r^2 = SSR/SST = 250.4432/286.1480 = 0.871944
3) error sum of square,36.7029
4) residual = -3.96633