A study of bone density on 5 random women at a hospital produced the following results. Age 41 45 49 53 69 Bone Density 360 355 320 315 310 Calculate the correlation coefficient, r. Round your answer to six decimal places.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
A study of bone density on 5 random women at a hospital produced the following results.
| Age | 41 | 45 | 49 | 53 | 69 |
|---|---|---|---|---|---|
| Bone Density | 360 | 355 | 320 | 315 | 310 |
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