Math  /  Data & Statistics

QuestionBSAD/MATH 2170 Applied Statistics - Marquis (1) Haley Stone Homework: 10.1 Correlation Question 6, 10.1.1 HW Score: 37.88%,8.3337.88 \%, 8.33 of 22 points Part 2 of 3 Points: 0.33 of 1 Save
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Twenty different statistics students are randomly selected. For each of them, their body temperature (C)\left({ }^{\circ} \mathrm{C}\right) is measured and their head circumference (cm)(\mathrm{cm}) is measured. a. For this sample of paired data, what does r represent, and what does ρ\rho represent? b. Without doing any research or calculations, estimate the value of rr. c. Does r change if body temperatures are converted to Fahrenheit degrees? A. rr is a statistic that represents the proportion of the variation in head circumference that can be explained by variation in body temperature, and ρ\rho is a parameter that represents the value of the linear correlation coefficient that would be computed by using all of the paired data in the population of all statistics students. B. rr is a statistic that represents the value of the linear correlation coefficient computed from the paired sample data, and ρ\rho is a parameter that represents the value of the linear correlation coefficient that would be computed by using all of the paired data in the population of all statistics students. C. rr is a statistic that represents the value of the linear correlation coefficient computed from the paired sample data, and ρ\rho is a parameter that represents the proportion of the variation in head circumference that can be explained by variation in body temperature. D. rr is a parameter that represents the value of the linear correlation coefficient that would be computed by using all of the paired data in the population of all statistics students, and ρ\rho is a statistic that represents the value of the linear correlation coefficient computed from the paired sample data. b. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal rounded to one decimal place as needed.) The value of rr is estimated to be \square because it is likely that body temperature and head circumference are strongly positively correlated. B. The value of rr is estimated to be \square , because it is likely that body temperature and head circumference are strongly negatively correlated. C. The value of rr is estimated to be \square , because it is likely that there is no correlation between body temperature and head circumference. x/x / Question 6

Studdy Solution
Determine if converting temperatures affects r r :
- The correlation coefficient r r is a dimensionless measure and is unaffected by linear transformations of the data, such as converting temperatures from Celsius to Fahrenheit.
Conclusion: r r does not change if body temperatures are converted to Fahrenheit.

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