A medical researcher wishes to determine if there is a relationship between the

Question

A medical researcher wishes to determine if there is a relationship between the number of prescriptions written by medical professionals, per 100. children and the child's age. She surveys all the pediatrician's in a geographical region to collect her data. What is the response variable? 100 prescriptions Age of the child Pediatricians surveyed Number of prescriptions written A history instructor has given the same pretest and the same final examination each semester. He ted m determining if there is a relationship between the scores of the two tests. He computers the linear correlation coefficient and notes that it is 1.15. What does this correlation coefficient value tell the instructor? The correlation is something other than linear. There is a strong negative correlation between the tests. The history instructor has made a computational error. There is a strong positive correlation between the tests. A traffic officer is compiling information about the relationship between the hour or the day the speed over the limit at which the motorist is ticketed. He computes a correlation coefficient 0.12. What does this tell the officer? There is a weak positive linear correlation. There is insufficient evidence to make any conclusions about the relationship between t e variables. There is a moderate positive linear correlation. There is a moderate negative linear correlation. Calculate the linear correlation coefficient for the data below. The data below are the number of hours worked (per week) and the final grades of 9 randomly selected students from a drama class. Calculate the linear correlation coefficient. Write the word or phrase that best completes each statement or answers the question Calculate the coefficient of correlation, r, letting Row 1 represent the x-values and Row 2 9 represent the y-values. Now calculate the coefficient of correlation, r, letting Row 2 represent the x-values and Row 1 represent the y-values. What effect does switching the explanatory and response variables have on the linear correlation coefficient? Choose the one alternative that best completes the statement or answers the compute the linear correlation coefficient between the two variables and determine whether a linear r = 0.9bv>; no linear relation exists r = 0.883; no linear relation exists r = 0.083; linear relation exists r = 0.883; linear relation exists

Explanation / Answer

9.

Using technology, we get the correlation,  
  
r =    0.440482097 [ANSWER]

When we switch the x and y values, the correlation is still the same,

r =    0.440482097 [ANSWER]

Hence, the correlation value does not depend on which is the explanatory and which is the response variable. [CONCLUSION]

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Hi! There are many different technologies available, like graphing calculators, spreadsheets, and you can even find some online tools in specific problems like this (linear correlation). Thanks!

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