Let x be per capita income in thousands of dollars. Let y be the number of medical doctors per 10,000 residents. Six small cities in Oregon gave the following information about x and y. x 8.8 9.7 10.2 8.0 8.3 8.7 y 9.8 18.0 20.0 10.2 11.4 13.1 Complete parts (a) through (e), given Σx = 53.7, Σy = 82.5, Σx2 = 484.15, Σy2 = 1225.65, Σxy = 755.03, and r ≈ 0.927. Suppose a small city in Oregon has a per capita income of 9.0 thousand dollars. What is the predicted number of M.D.s per 10,000 residents? (Round your answer to two decimal places.) M.D.s per 10,000 residents
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!
Let x be per capita income in thousands of dollars. Let y be the number of medical doctors per 10,000 residents. Six small cities in Oregon gave the following information about x and y.
| x | 8.8 | 9.7 | 10.2 | 8.0 | 8.3 | 8.7 |
| y | 9.8 | 18.0 | 20.0 | 10.2 | 11.4 | 13.1 |
Complete parts (a) through (e), given Σx = 53.7, Σy = 82.5, Σx2 = 484.15, Σy2 = 1225.65, Σxy = 755.03, and r ≈ 0.927.
Suppose a small city in Oregon has a per capita income of 9.0 thousand dollars. What is the predicted number of M.D.s per 10,000 residents? (Round your answer to two decimal places.)
M.D.s per 10,000 residents
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