# What percentage of the variation in household size is explained by respondent age?

respondent’s selection of a shopping area. Each of these variables has been measured on a scale of 1 (“1” means the attribute is not very important in choosing a shopping area) to 7 (“7” means the attribute is very important in choosing a shopping area). The attributes being rated for importance are listed below. Examining the relative importance customers place on these attributes can help a manager “fine-tune” his or her shopping area to make it a more attractive place to shop.

18 Easy to return/exchange goods

19 High quality of goods

20 Low prices

21 Good variety of sizes/styles

23 Convenient shopping hours

24 Clean stores and surroundings

25 A lot of bargain sales

Perform the following operations for variables 18–25:

A. Obtain descriptive statistics (5-number summary, mean, mode, range and standard deviation) for each variable along with an explanation of what the descriptive statistics tell us about the variable.

B. Generate a box-and-whisker plot for the variable. Does the distribution appear to be skewed? If so, is the skewness positive or negative? Calculations are easier for a quick check.

Based on the results for question 1, which attributes seem to be the most important and the least important in respondents’ choice of a shopping area? Which items from #1 did you use to decide on the least and most important attributes and why?

Use their respective coefficients of variation to compare the relative amount of dispersion in variable 29 (number of persons in the household) with that of variable 30 (respondent’s age).

Determine the coefficient of correlation between variable 29 (number of persons in the household) and variable 30 (age). What percentage of the variation in household size is explained by respondent age?