For Exercises 35–49, do the following:

  1. Construct a scatterplot of the relationship between and .
  2. Interpret the scatterplot.
  3. Calculate the correlation coefficient .
  4. Interpret the value of the correlation coefficient .

Question 4.39

gardasilreg

39. Gardasil Shots and Age. The accompanying table shows a random sample of 10 patients from the Chapter 5 Case Study data set, Gardasil, including the age of the patient and the number of shots taken by the patient .

Age Shots
13 3
21 3
16 3
17 2
17 3
18 1
25 2
15 3
12 1
16 1
Table 4.19: Source: Journal of Statistics Education.

4.1.39

(a)

image

(b) Age and number of shots have no apparent relationship. (c) (d) This value of is very close to the value . We would therefore say that there is no linear relationship between age and shots.