The USStates dataset includes information on the 50 US states, including the percent of the population of each state that eats at least five servings of fruits and vegetables a day and the percent of the population of each state that is obese. Figure 2.58 shows a scatterplot of these two variables.
Figure 2.58

(a) Does the scatterplot show a positive or negative association? Explain why your answer makes sense for these two variables.
(b) Where would a very healthy state be located on the scatterplot: top left, top right, bottom left, bottom right, or middle? What about a very unhealthy state?

(c) Pick a point in a very healthy location in the scatterplot, and use the dataset USStates to find the state it represents. Pick a point in a very unhealthy location and find the state it represents.
(d) Is the data from a sample or a population? What is the correct notation for the correlation?
(e) Which of the following is most likely to be the correlation between these two variables?

(f) Would a positive correlation imply that eating more vegetables will cause you to gain weight?
(g) Would a negative correlation imply that eating more vegetables will cause you to lose weight?
(h) One state stands out for eating an average number of vegetables but having a particularly low obesity rate. What state is this?

Transcribed Image Text:

32 30 28 26 24 22 – 20 - 18 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 Five Vegetables Obese – 1, -0.941, -0.605, -0.083, 0.955, 0.445, 0.172, 1