Here are three sets of seven numbers each. The x values are the number of points scored by Kobe Bryant in the playoff games against the Houston Rockets, the y values are the points scored by the Lakers in those same games and the z values are the difference between the Lakers' score and the Rockets' score in each game.
x: __32__40__33__35__26__32__33
y: __92_111_108__87_118__80__89
z: __-8_+13_+14_-12_+30_-15_+19
1. Find the correlation coefficients for all three pairs of number sets, rx,y, rx,z and ry,z.
2. What are the cut-off values for 95% confidence and 99% confidence for correlation?
3. Which of the pairs of sets has the highest absolute correlation and what confidence level does that correlation exceed?
Round all answers to three digits. Answers in the comments.
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Part 1:
r_x,y = -0.131
r_x,z = -0.276
r_y,z = 0.798
Part 2:
95% confidence level = .754
99% confidence level = .875
Part 3:
The sets with the highest correlation are y and z, which means the team's total points correlates to the difference in the scores between the teams. The level of correlation is above the 95% level, but not the 99% level.
Kobe's output actually had very weak and negative correlation to the other data sets in this seven game series.
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