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In a pretest, data were obtained from 20 respondents on preferences of sneakers on a 7-point scale: 1=not preferred to 7= greatly preferred ( V

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  1. In a pretest, data were obtained from 20 respondents on preferences of sneakers on a 7-point scale: 1=not preferred to 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, 1=poor, 7= excellent. The resulting data are given in the following table.
    1. Calculate the simple correlations between V1 and V4 and interpret the results.
    2. Run a bivariate regression with preference of sneakers (V1) as the dependent variable and evaluation on comfort (V2) as the independent variable. Interpret the results.
    3. 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.
    4. Run a bivariate regression with preference for sneakers (V1) as the dependent variable and evaluation of durability (V4) as the independent variable. Interpret the results.
    5. 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.
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