For Exercises 13–20, do the following for the indicated data set:

  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 4.17

17. The heights (in inches) and weights (in pounds) of a sample of five women are recorded:

Height Weight
66 122
67 133
69 153
68 138
65 125

4.1.17

(a)

image

(b) The variables height and weight have a positive linear relationship. (c) (d) This value of is very close to the maximum value .

We would therefore say that height and weight are positively correlated. As height increases, weight also tends to increase.