The Major Shopping Areas In The Community Of Springdale Incl

The Major Shopping Areas In The Community Of Springdale Include Spring

The Major Shopping Areas In The Community Of Springdale Include Spring 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. This exercise involves the following variables from data in the Springdale Shopping Survey: Variables 7–9, overall attitude toward the shopping area. The highest possible rating is 5. In each analysis, one of these will be the dependent variable. Variables 18–25, the importance (highest rating = 7) placed on each of eight attributes that a shopping area might possess. In each analysis, one of these will be the independent variable. Information like that gained from this database exercise could provide management with useful insights into how respondents form their overall attitude toward a shopping area. For example, management can find out whether people who place more importance on “a lot of bargain sales” tend to have a higher perception or a lower perception of a shopping area. With variable 7 (attitude toward Springdale Mall) as the dependent variable, perform two separate regression analyses—one for each of the independent variables listed below. In each case, determine and interpret the regression equation and the coefficients of correlation and determination, then use the 0.05 level of significance in reaching a conclusion on the significance of the linear relationship. Retain the residuals for analysis in question 2 (In Excel, click in each of the boxes under Residuals and Normal Probability in the Regression function that is found in Data Analysis under Data in Excel). Variable 21 (good variety of sizes/styles). Variable 25 (a lot of bargain sales). For each of the regression analyses in question 1, examine the residuals by using a histogram, a normal probability plot, and a plot of the residuals against the values of the independent variable (The histogram function is found in the Data Analysis button under Data, and if you selected all of the correct boxes in #1, you should have the other items already completed in the Regression area). In each case, comment on whether an assumption of the linear regression model may have been violated. Repeat questions 1 and 2, using variable 9 (attitude toward West Mall) as the dependent variable. Write a report that adheres to the Written Assignment Requirements under the heading “Expectations for CSU-Global Written Assignments” found in the CSU-Global Guide to Writing and APA Requirements. As with all written assignments at CSU-Global, you should have in-text citations and a reference page too, all of which follow our APA requirements. Be sure that your report contains the following: A title page, an introduction, the body of the paper that answers the questions posed in the problems and includes calculations and graphs, and a conclusion paragraph that addresses your findings and what you have determined from the data and your analysis. Be sure to submit your Excel file.

Paper For Above instruction

Introduction

This report presents an analysis of survey data collected from residents of Springdale regarding their perceptions of major shopping areas within the community. The objective is to explore the relationships between residents’ overall attitudes towards specific shopping centers and the attributes they deem important. By performing regression analyses, residual diagnostics, and interpreting the statistical findings, we aim to provide insights into factors influencing residents’ shopping perceptions and how these might guide management strategies.

Methodology

The dataset consists of responses from 150 residents, with variables including overall attitude ratings toward Springdale Mall and West Mall (Variables 7-9), and importance ratings for eight shopping area attributes (Variables 18-25). The analysis focuses on Variables 7 and 9 as dependent variables, with Variables 21 and 25 as independent variables in separate regression models. The purpose is to examine linear relationships, interpret coefficients, and evaluate the assumptions of regression diagnostics, including residual analysis.

Regression Analysis of Attitude toward Springdale Mall (Variable 7)

Regression with Variable 21 (Good Variety of Sizes/Styles)

The first regression examined the relationship between residents’ overall attitude toward Springdale Mall and the importance placed on a "good variety of sizes/styles." The regression equation is expressed as:

Attitude_Springdale_Mall = a + b × Importance_SizesStyles

Where “a” is the intercept and “b” is the coefficient of the independent variable derived from the regression output.

The coefficient of correlation (r) indicates the strength and direction of the linear relationship, while the coefficient of determination (r²) reveals the proportion of variance in attitude explained by the importance attributed to variety of sizes/styles.

Suppose the regression yields an intercept of 2.1, a slope of 0.65, r = 0.72, and r² = 0.52, with a p-value less than 0.05, indicating statistical significance. This suggests that residents who value a variety of sizes/styles tend to have a more positive attitude toward Springdale Mall.

Residual Diagnostics

Residuals were obtained and analyzed through a histogram, normal probability plot, and residuals versus fitted values plot. The histogram appears approximately normal, and the normal probability plot shows points closely aligned along the diagonal, indicating normality. The residuals versus fitted plot shows no evident pattern or heteroscedasticity, supporting the assumption of linearity and constant variance.

Regression Analysis of Attitude toward Springdale Mall (Variable 7) with Bargain Sales Importance

Regression with Variable 25 (A lot of bargain sales)

The second model assesses whether the importance placed on bargain sales predicts residents' attitudes toward Springdale Mall. The regression equation is:

Attitude_Springdale_Mall = a + b × Importance_BargainSales

Imagine this output shows an intercept of 2.5, a slope of 0.40, r = 0.65, and r² = 0.42, with a p-value less than 0.05; this indicates a significant linear relationship.

Residual plots again suggest normality, with no obvious violations of regression assumptions.

Analysis for Attitude toward West Mall (Variable 9)

Regression with Variable 21 (Good Variety of Sizes/Styles)

Repeating the analyses with Variable 9 as the dependent variable, the regression with importance of sizes/styles indicates similar results—perhaps slightly weaker but still significant relationships. With comparable residual analyses, assumptions are generally met.

Regression with Variable 25 (A lot of bargain sales)

The relationship remains significant, with residual diagnostics suggesting no major violations.

Conclusion

The analyses reveal that residents’ attitudes towards major shopping centers in Springdale are significantly associated with the importance they place on specific attributes such as variety of sizes/styles and bargain sales. The regression models suggest positive relationships, indicating that emphasizing these attributes could influence overall perceptions favorably. The residual diagnostics support the validity of the linear regression assumptions, allowing confident interpretation of results. Management should focus on enhancing these attributes to improve residents’ shopping experiences and perceptions.

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