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 ρ 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? Question content area bottom Part 1 a. Choose the correct answer below. A. r 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 is a statistic that represents the value of the linear correlation coefficient computed from the paired sample data. B. r is a statistic that represents the proportion of the variation in head circumference that can be explained by variation in body temperature, and ρ 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. r is a statistic that represents the value of the linear correlation coefficient computed from the paired sample data, and ρ 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. D. r is a statistic that represents the value of the linear correlation coefficient computed from the paired sample data, and ρ is a parameter that represents the proportion of the variation in head circumference that can be explained by variation in body temperature.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 26PFA

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Part 1

a. Choose the correct answer below.

r 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

is a statistic that represents the value of the linear correlation coefficient computed from the paired sample data.

r is a statistic that represents the proportion of the variation in head circumference that can be explained by variation in body temperature, and

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.

r is a statistic that represents the value of the linear correlation coefficient computed from the paired sample data, and

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.

r is a statistic that represents the value of the linear correlation coefficient computed from the paired sample data, and

is a parameter that represents the proportion of the variation in head circumference that can be explained by variation in body temperature.

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