6. In a pretest, data were obtained from 20 respondents on preferences for sneakers on a 7-point scale where 1= not at all preferred and 7 = greatly preferred (V1). The respondents also provided their evaluations of the sneakers on comfort (V2), style (V3), and durability (V4), also on 7-point scales where 1= poor and 7 = excellent.

The resulting data follow.

V1 V2 V3 V4 6.00 6.00 3.00 5.00 2.00 3.00 2.00 4.00 7.00 5.00 6.00 7.00 4.00 6.00 4.00 5.00 1.00 3.00 2.00 2.00 6.00 5.00 6.00 7.00 5.00 6.00 7.00 5.00 7.00 3.00 5.00 4.00 2.00 4.00 6.00 3.00 3.00 5.00 3.00 6.00 1.00 3.00 2.00 3.00 5.00 4.00 5.00 4.00 2.00 2.00 1.00 5.00 4.00 5.00 4.00 6.00 6.00 5.00 4.00 7.00 3.00 3.00 4.00 2.00 4.00 4.00 3.00 2.00 3.00 4.00 3.00 2.00 4.00 4.00 3.00 2.00 2.00 3.00 2.00 4.00

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

b. Run a bivariate regression with preference for sneakers (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 sneakers (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 sneakers (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 sneakers (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.