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 4.15

15. The predictor variable and the response variable take the following values:

−5 −5
−5 −15
0 −20
5 −25
5 −30

4.1.15

(a)

image

(b) The variables and have a negative linear relationship. (c) (d) This value of is very close to the minimum value . We would therefore say that and are negatively correlated. As increases, tends to decrease.