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 doesp 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?a. Choose the correct answer below.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 valueof the linear correlation coefficient that would be computed by using all of the paired data in the population of all statistics students.B. 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 theproportion of the variation in head circumference that can be explained by variation in body temperature.C. 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 parameterthat 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. 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 allstatistics students, and p 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.)O A. The value of r is estimated to bebecause it is likely that there is no correlation between body temperature and head circumference.B. The value of r is estimated to bebecause it is likely that body temperature and head circumference are strongly positively correlated.C. The value of r is estimated to bebecause it is likely that body temperature and head circumference are strongly negatively correlated.c. Choose the correct answer below.A. The value of r does not change, because r is not affected by relationships that are not linear.B. The value of r does not change, because r is not affected by the choice of x or y.C. The value of r changes, because r is affected by converting all values of a variable to a different scale.O D. The value of r does not change, because r is not affected by converting all values of a variable to a different scale.

Name: Twenty different statistics students are randomly selected. For each
Uploaded: 2024-03-20T07:06:27.000Z
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Description: 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 doesp represent?b.

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Karl Pearson's Correlation Coefficient "r"  (Product Moment Correlation):- It is a measure of the…