solution

In a survey pre-test, data were obtained from 20 participants on preference for boots () on a seven-point scale (1 = not preferred, 7 = greatly preferred). The participants also provided their evaluations of the boots on comfort (), style () and durability (), also on seven-point scales (1 = poor, 7 = excellent). The resulting data are given in the following table:

a Calculate the simple correlations between V₁ and V₄ and interpret the results.

b Run a bivariate regression with preference for boots (V₁) as the dependent variable and evaluation on comfort (V₂) as the independent variable. Interpret the results.

c Run a bivariate regression with preference for boots (V₁) as the dependent variable and evaluation on style (V₃) as the independent variable. Interpret the results.

d Run a bivariate regression with preference for boots (V₁) as the dependent variable and evaluation on durability (V₄) as the independent variable. Interpret the results.

e Run a multiple regression with preference for boots (V₁) as the dependent variable and V₂ to V₄ as the independent variables. Interpret the results. Compare the coefficients for V₂, V₃ and V₄ obtained in the bivariate and the multiple regressions.