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.
1. 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. If possible on your computer statistical package, retain the residuals for analysis in question 2.
a. Variable 21 (good variety of sizes/styles).
b. Variable 25 (a lot of bargain sales).
2. 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. In each case, comment on whether an assumption of the linear regression model may have been violated.
3. Repeat questions 1 and 2, using variable 9 (attitude toward West Mall) as the dependent variable.