Question

the scatterplot of the housing cost index versus the median family income for 10 states is shown on the right. the correlation is 0.046. complete parts a) through e). a) which of the following best describes the relationship between the housing cost index and median family income? a. there is no association. b. there is a moderate positive linear association with a few outliers. c. there is a moderate negative linear association with a few outliers. d. there is a strong association but it is not linear.

Explanation:

Step1: Analyze correlation value

The correlation coefficient is 0.46. A value close to 0 indicates a weak linear - relationship, while values closer to 1 or - 1 indicate strong linear relationships. Since 0.46 is not close to 0, there is some linear relationship. Since it is positive, it is a positive linear relationship. And from the scatter - plot, there seem to be some points that deviate from the general pattern, which are outliers.

Answer:

B. There is a moderate positive linear association with a few outliers.