# Sm_chapter_10 - CHAPTER 10 SOLUTIONS AND MINI-PROJECT NOTES CHAPTER 10 RELATIONSHIPS BETWEEN MEASUREMENT VARIABLES EXERCISE SOLUTIONS 10.1 Yes

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CHAPTER 10 SOLUTIONS AND MINI-PROJECT NOTES CHAPTER 10 RELATIONSHIPS BETWEEN MEASUREMENT VARIABLES EXERCISE SOLUTIONS 10.1 Yes, about five of them. The definition of statistical significance is such that when there really is no relationship we will erroneously detect one about 5% of the time. 10.2 It would still be 0.36. Correlation does not change when the units of measurement are changed. 10.3 a. y = 0.96( x 0.5) = 0.48 + 0.96 x (in pints) b. The intercept is 0.48 and it doesn't really have a physical meaning. It would be the volume of water corresponding to a weight of zero, but zero is not a possible weight since the container itself weights 0.5 pounds. The slope is 0.96, and it represents the additional volume of water (in pints) when the weight is increased by 1 pound. c. This is a deterministic relationship, not a statistical relationship, so the correlation is 1. d. See the figure below. 10.4 a. A positive correlation. In summer both will be high and in winter both will be low. b. A negative correlation. Heavier cars (higher weight) have lower gas mileage. c. A negative correlation. Students who watch more TV tend to have lower GPAs. d. A positive correlation. People with more education tend to have higher salaries. 10.5 The sample of size 10,000 would be more likely. To quote the textbook, "Even a minor relationship will achieve ‘statistical significance’ if the sample is very large" (p. 183). 10.6

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## This note was uploaded on 04/13/2008 for the course STAT 100 taught by Professor Seifriedthomasj during the Spring '08 term at Pennsylvania State University, University Park.

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Sm_chapter_10 - CHAPTER 10 SOLUTIONS AND MINI-PROJECT NOTES CHAPTER 10 RELATIONSHIPS BETWEEN MEASUREMENT VARIABLES EXERCISE SOLUTIONS 10.1 Yes

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