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 ofr. c. Does r change if body temperatures are converted to Fahrenheit degrees? a. Choose the correct answer be elow. O A. ris a statistic that represents the value of the linear correlation coefficient computed from the paired sample data, and pis a parameter that represents the value of the linear corelation coefficient that would be computed by using all of the paired data in the population of all statistics students. OB. 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 statistic that represents the value of the linear correlation coefficient computed from the paired sample data, and pis a parameter that represents the proportion of the variation in head circumference that can be explained by variation in body temperature. OD. 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 pis 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 ro one decimal place as needed) A. The value of ris estimated to be. because it is likely that body temperature and head circumference are strongly negatively correlated. O B. The value of r is estimated to be. because it is likely that body temperature and head circumference are strongly positively correlated OC. The value of ris estimated to be. because it is likely that there is no corelation between body temperature and head circumference. 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, because r is not affected by the choice of x or y OC. The value of r does not change. because r is not affected by relationships that are not linear. OD. The value of r does not change, because r is not affected by converting all values of a variable to a different scale.
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 ofr. c. Does r change if body temperatures are converted to Fahrenheit degrees? a. Choose the correct answer be elow. O A. ris a statistic that represents the value of the linear correlation coefficient computed from the paired sample data, and pis a parameter that represents the value of the linear corelation coefficient that would be computed by using all of the paired data in the population of all statistics students. OB. 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 statistic that represents the value of the linear correlation coefficient computed from the paired sample data, and pis a parameter that represents the proportion of the variation in head circumference that can be explained by variation in body temperature. OD. 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 pis 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 ro one decimal place as needed) A. The value of ris estimated to be. because it is likely that body temperature and head circumference are strongly negatively correlated. O B. The value of r is estimated to be. because it is likely that body temperature and head circumference are strongly positively correlated OC. The value of ris estimated to be. because it is likely that there is no corelation between body temperature and head circumference. 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, because r is not affected by the choice of x or y OC. The value of r does not change. because r is not affected by relationships that are not linear. OD. The value of r does not change, because r is not affected by converting all values of a variable to a different scale.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 13PPS
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