BThe regression equation of $x$ on $y$ is $8 x-10 y+6=0$, and the regression equation of $y$ on $x$ is $40 x-18 y=5$. Can these be the regression equations of the same data? Give reasons.
Question 7
ASix students (A to F) take part in a school cultural activity competition and are ranked by three teacher-judges in the following order:
StudentA B C D E F
Judge I1 3 2 5 6 4
Judge II1 5 4 3 2 6
Judge III3 4 5 1 2 6
Using Spearman's rank correlation coefficient:
i. Calculate the value of $r$ for each pair of judges.
ii. Find which pair of judges has the highest correlation, that is, whose assessments of the students agree most closely.
BThe regression equation of $x$ on $y$ is $8 x-10 y+6=0$, and the regression equation of $y$ on $x$ is $40 x-18 y=5$. Can these be the regression equations of the same data? Give reasons.
Question 7
ASix students (A to F) take part in a school cultural activity competition and are ranked by three teacher-judges in the following order:
Student | A | B | C | D | E | F |
Judge I | 1 | 3 | 2 | 5 | 6 | 4 |
Judge II | 1 | 5 | 4 | 3 | 2 | 6 |
Judge III | 3 | 4 | 5 | 1 | 2 | 6 |