Question

A study of bone density on 5 random women at a hospital produced the following results....

A study of bone density on 5 random women at a hospital produced the following results.

X: Age 33 37 45 49 61

Y: Bone Density 355 350 335 330 315

Step 3 of 3: Calculate the correlation coefficient, r. Round your answer to three decimal places.

Math   Statistics-And-Probability   
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Answer #1

Solution:

X Y XY X^2 Y^2
33 355 11715 1089 126025
37 350 12950 1369 122500
45 335 15075 2025 112225
49 330 16170 2401 108900
61 315 19215 3721 99225
n 5
sum(XY) 75125.00
sum(X) 225.00
sum(Y) 1685.00
sum(X^2) 10605.00
sum(Y^2) 568875.00
Numerator -3500.00
Denominator 3515.68
r -0.9955
r square 0.9911
Xbar(mean) 45.0000
Ybar(mean) 337.0000
SD(X) 9.7980
SD(Y) 14.3527
b -1.4583
a 402.6250

r = -0.996

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