Question

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 below. OA. 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 O B. ris a staistic that represents the value of the linear correlation coefficient computed from the paired sample data, and p is a parameter that represents the O c. 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 O D. r is a statstic tat represents the value of the linear correlation coefficient computed from the paired sample data, and ρ is a parameter that represents the statistics students, and ρ is a statistic that represents the value of the linear correlation coefficient computed from the paired sample data. value of the linear correlation coofficient that would be computed by using all of the paired data in the population of all statistics students 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. proportion of the variation in head circumference that can be explained by variation in body temperature. 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 c cum ference are strongly negatively correlated C. The value of r is estimated to be because it is likely that body temperature and head circumference are strongly positively correlated. c.Choose the correct answer below O A. The value of r does not change, because r is not affected by converting all values of a variable to a different scale. O B. The value of r does not change, because r is not affected by relationships that are not linear O 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 the choice of x or y

Answer 1

a.)r represents the sample correlation coefficient and $\rho$ represents the population correlation coefficient..

Ans:B.

b.)there is no linear relationship between the variables, body temperature and head circumference, so in this case Value of r=0

ans:A. The value of r is estimated to be 0. because it is likely that there is no correlation between body temperature and head circumference

c.)the value of r does not change because r in independent of change of origin and scale.

ans:A.