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1) 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...

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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

9.0

9.4

10.3

8.0

8.3

8.7

y

10.0

18.8

21.6

10.2

11.4

13.1

Complete parts (a) through (e), given Σx = 53.7, Σy = 85.1, Σx2 = 484.03, Σy2 = 1325.61, Σxy = 779.39, and r ≈ 0.882.

(a) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.)

1) 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 9.0 9.4 10.3 8.0 8.3 8.7 y 10.0 18.8 21.6 10.2 11.4 13.1 Complete parts (a) through (e), given Σ x = 53.7 , Σ y = 85.1 , Σ x 2 = 484.03 , Σ y 2 = 1325.61 , Σ xy = 779.39 , and r 0.882 . (a) Verify the given sums Σ x , Σ y , Σ x 2 , Σ y 2 , Σ xy , and the value of the sample correlation coeFcient r . (Round your value for r to three decimal places.) Σ x = Σ y = Σ x 2 = Σ y 2 = Σ xy = r = ^ (b) ±ind x , and y . Then ²nd the equation of the least-squares line y = a + bx . (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) x = Y = ^ Y = + x (c) ±ind the value of the coeFcient of determination r 2 . What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained ? (Round your answer for r 2 to three decimal places. Round your answers for the percentages to one decimal place.) r 2 = explained %
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unexplained % (d) Suppose a small city in Oregon has a per capita income of 9.7 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 2) Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took the following glucose readings from this horse (in mg/100 ml). 93 86 82 107 97 109 84 91 The sample mean is x 93.6 . Let x be a random variable representing glucose readings taken from Gentle Ben. We may assume that x has a normal distribution, and we know from past experience that σ = 12.5. The mean glucose level for horses should be μ = 85 mg/100 ml. Do these data indicate that Gentle Ben has an overall average glucose level higher than 85? Use α = 0.05. (a) What is the level of signiFcance? b) State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? (Please highlight the correct answer). H 0 : μ = 85; H 1 : μ ≠ 85; two-tailed H 0 : μ > 85; H 1 : μ = 85; right-tailed H 0 : μ = 85; H 1 : μ > 85; right-tailed H 0 : μ = 85; H 1 : μ < 85; left-tailed
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Testing of hypothesis 20042016.docx

1) 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
9.0...

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