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.

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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.
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