Question

unit 2 - exploring two variable data
hw 2 - scatterplots and correlation
name:

1. a student wonders if tall women tend to date taller men. she measures herself, her dormitory roommate, and the women in the adjoining rooms; then she measures the next man each woman dates. here are the data (heights in inches):

women men
66 72
64 68
66 70
65 68
70 71
65 65
a) is there a clear explanatory variable and response variable in this setting? if so, tell which is which. if not, explain why not.
b) make a well - labeled scatterplot of these data.

Explanation:

Step1: Identify variables

The student is trying to see if there is a relationship between the height of women (explanatory variable - x - axis) and the height of the men they date (response variable - y - axis).

Step2: Determine if there is an explanatory - response relationship

There is no clear causal relationship that can be definitively established just from height. However, for the purpose of the study, we can consider the height of women as the explanatory variable and the height of men they date as the response variable.

Step3: Create scatter - plot

On the x - axis, label it "Height of Women (inches)" and mark values from 64 to 70. On the y - axis, label it "Height of Men (inches)" and mark values from 65 to 72. Plot the data points: (66,72), (64,68), (66,70), (65,68), (70,71), (65,65)

Answer:

a) There is no clear - cut explanatory variable in a strict causal sense. But for the context of this study, the height of women can be considered the explanatory variable and the height of men they date as the response variable.
b) A scatter - plot with the x - axis labeled "Height of Women (inches)" and y - axis labeled "Height of Men (inches)" has data points (66,72), (64,68), (66,70), (65,68), (70,71), (65,65) plotted on it.