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) About Me  (Show Source):
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i.Calculate the correlation coefficient
Capture8-29-2023-7-27-19-PM

The value of the correlation coefficient R+is 0.5703.
This is a moderate positive correlation, which means there is a tendency for high X variable scores go with high Y+variable scores (and vice versa).


ii.Calculate the slope of the regression line

y=bx%2Bc
the slope of the regression line is b=0.67647

iii.Determine the y-intercept of the line

y-intercept is c=+2.14706

iv.State the equation of the regression line

Capture8-29-2023-7-27-19-PM
Capture8-29-2023-7-35-39-PM

the equation of the regression line
Capture8-29-2023-7-41-30-PM

y+=+0.67647X+%2B+2.14706