Twenty different statistics students are randomly selected. For each of them, their body temperature (°C) is measured and their head circumference (cm) is measured. a. For this sample of paired data, what does r represent, and what does p represent? b. Without doing any research or calculations, estimate the value of r. c. Does r change if body temperatures are converted to Fahrenheit degrees? O A. ris a statistic that represents the value of the linear correlation coefficient computed from the paired sample data, and p is a parameter that represents the proportion of the variation variation in body temperature. head circumference that can be explained by O B. ris a statistic that represents the proportion of the variation in head circumference that can be explained by variation in body temperature, and p 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. OC. ris 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 p is a statistic that represents the value of the linear correlation coefficient computed from the paired sample data. O D. ris a statistic that represents the value of the linear correlation coefficient computed from the paired sample data, and p 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. 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.) O A. The value of r is estimated to be, because it is likely that there is no correlation between body temperature and head circumference. O B. The value of r is estimated to be , because it is likely that body temperature and head circumference are strongly positively correlated. O C. The value of r is estimated to be , because it is likely that body temperature and head circumference are strongly negatively correlated. c. Choose the correct answer below. O A. The value of r changes, because r is affected by converting all values of a variable to a different scale. OB. The value of r does not change. hecause r is not affected bv relationshins that are not linear.

Twenty different statistics students are randomly selected. For each of them, their body temperature (°C) is measured and their head circumference (cm) is measured. a. For this sample of paired data, what does r represent, and what does p represent? b. Without doing any research or calculations, estimate the value of r. c. Does r change if body temperatures are converted to Fahrenheit degrees? O A. ris a statistic that represents the value of the linear correlation coefficient computed from the paired sample data, and p is a parameter that represents the proportion of the variation variation in body temperature. head circumference that can be explained by O B. ris a statistic that represents the proportion of the variation in head circumference that can be explained by variation in body temperature, and p 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. OC. ris 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 p is a statistic that represents the value of the linear correlation coefficient computed from the paired sample data. O D. ris a statistic that represents the value of the linear correlation coefficient computed from the paired sample data, and p 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. 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.) O A. The value of r is estimated to be, because it is likely that there is no correlation between body temperature and head circumference. O B. The value of r is estimated to be , because it is likely that body temperature and head circumference are strongly positively correlated. O C. The value of r is estimated to be , because it is likely that body temperature and head circumference are strongly negatively correlated. c. Choose the correct answer below. O A. The value of r changes, because r is affected by converting all values of a variable to a different scale. OB. The value of r does not change. hecause r is not affected bv relationshins that are not linear.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 3E

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