SOLUTION: A.Two judges used a scale 0 - 10 to independently rate the performances of 8 contestants at a concert.
Judge 1 (x) Judge 2 (y)
5 7
7 8
3 6
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Question 1203398: A.Two judges used a scale 0 - 10 to independently rate the performances of 8 contestants at a concert.
Judge 1 (x) Judge 2 (y)
5 7
7 8
3 6
7 5
9 9
6 4
5 3
8 9
Table 3.
i.Calculate the correlation coefficient (9 marks)
ii.Calculate the slope of the regression line (6 marks)
iii.Determine the y-intercept of the line (3 marks)
iv.State the equation of the regression line (2 marks) (Total 20 marks)
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
i.Calculate the correlation coefficient
The value of the correlation coefficient is .
This is a moderate positive correlation, which means there is a tendency for high variable scores go with high variable scores (and vice versa).
ii.Calculate the slope of the regression line
the slope of the regression line is
iii.Determine the y-intercept of the line
-intercept is
iv.State the equation of the regression line
the equation of the regression line
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