The major shopping areas in the community of Springdale include Springdale Mall, West Mall, and the downtown area on Main Street. A telephone survey has been conducted to identify strengths and weaknesses of these areas and to find out how they fit into the shopping activities of local residents. The 150 respondents were also asked to provide information about themselves and their shopping habits. The data are provided in the file SHOPPING. The variables in the survey can be found in the file CODING.We will concentrate on variables 18–25, which reflect how important each of eight different attributes is in the respondent’s selection of a shopping area. Each of these variables has been measured on a scale of 1 (the attribute is not very important in choosing a shopping area) to 7 (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 goods19 High quality of goods20 Low prices21 Good variety of sizes/styles22 Sales staff helpful/friendly23 Convenient shopping hours24 Clean stores and surroundings25 A lot of bargain sales Perform the following operations for variables 18–25: Compute descriptive statistics for each variable along with an explanation of what the descriptive statistics tell us about the variable. This will include the mean, mode, range, standard deviation and the 5-number summary (minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum). Be sure to show each calculation in your spreadsheet. Are there any data points for any of the variables that can be considered outliers? If there are any outliers in any variable, please list them and state for which variable they are an outlier. Use the z-score method to determine any outliers for this question. Be sure to show each z-score calculation in your spreadsheet for each variable. 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? Determine the correlation coefficient between variable 19 and variables 21–25. Please provide an explanation of the relationships. Show your calculations for each correlation coefficient within the spreadsheet.

Each swimmer is allowed to compete in 7 events at a swim meet. Danny got first place 3 times, second place 1 time, third 2 times, and fourth once. John got first 2 times, second place 3 times, third twice, and didn’t place fourth. Kenny didn’t place first, but was second once, third four times, and fourth two times. Sean placed first once, second twice, third three times, and fourth once. The club teams are waiting to see which trophy they will be getting. Their trophy is based on the amount of points each team received. Eagles Aquatics team had 8 people get first place, 9 in second, 10 in third, and 5 in fourth. The Pirates swim team had 6 people get first, 7 in second, 3 in third, and 1 in fourth. Devil Rays Aquatic Club had 9 people get first, 2 in second, 5 in third, and 7 in fourth. The Manta Rays swim team had 4 first place winners, 3 second, 2 third and 1 fourth. 1. First place receives 6 points, second 4, third 3, and fourth 2. Which swimmer got the most points? Which team won the trophy? Show how you found that out.2. Does it matter in what order you multiply the matrices? Explain.3. If you were to find out the total number of points scored by individuals and teams, how would you go about doing that?4. Look back at what you did for questions 1 and 2. How does this relate to your understanding of vectors?5. Come prepared to share another example of a problem in the real world that can be solved using matrices.