524 CHAPTER 10 Correlation and Regression Interpreting r. In Exercises 5–8, use a significance level of A = 0.05 and refer to the accompanying displays. 5. Bear Weight and Chest Size Fifty-four wild bears were anesthetized, and then their weights and chest sizes were measured and listed in Data Set 18 “Bear Measurements” in Appendix B; results are shown in the accompanying Statdisk display. Is there sufficient evidence to support the claim that there is a linear correlation between the weights of bears and their chest sizes? When measuring an anesthetized bear, is it easier to measure chest size than weight? If so, does it appear that a measured chest size can be used to predict the weight? 6. Bear Length and Weight The lengths (inches) and weights (pounds) of 54 bears are obtained from Data Set 18 “Bear Measurements” in Appendix B, and results are shown in the accompanying XLSTAT display. Is there sufficient evidence to support the claim that there is a linear correlation between length and weight? XLSTAT StatCrunch TI-83, 84 Plus 7. Word Counts of Men and Women The first two columns of Data Set 14 “Word Counts” in Appendix B list the 56 pairs of numbers of words spoken in a day by men and women in couple relationships. StatCrunch results are shown in the accompanying display. Is there sufficient evidence to support the claim that there is a linear correlation between the numbers of words spoken in a day by men and women in couple relationships? 8. Heights of Mothers and Daughters Data Set 10 “Family Heights” in Appendix B includes heights (inches) of mothers and their first daughters. Using the first 10 pairs of those heights results in the TI-83>84 Plus results shown here. Is there sufficient evidence to support the claim that there is a linear correlation between heights of mothers and heights of their first daughters?
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