29. Multiple regression was run with preference for sneakers as dependent while

Question

29. Multiple regression was run with preference for sneakers as dependent while durability, style and comfort were three independent variables. Below is the SPSS output Model Adjusted 741 0.548 0.464 a) What does R stand for? b) What is R? c) Radjustment is based on two factors. What are these two factors? 30. ANOVA Sum of df Mean F Sig. Model res Regression | 37.599-3-12.533-16-479- .004 Residual 30.951 16 1.934 Total 68.550 19 a. Dependent Variable: Preferences b. Predictors: (Constant), Durability, Style, Comfort a. What is the null hypothesis being tested? b. A Regression Sum of Squares (RSS) value of 37.6 means reduction of prediction c. A Residual Sum of Squares (RSS) value of 30.9 means....... d. What is the formula for calculating Mean Squares? e. Can we reject the null hypothesis? If yes, based on what? 31 Unstandardized Standardized Coefficients Coefficients Model B Std. Error Beta Si 539 258 1.183 360 Style.504 234 Constant) Comfort .455 .655 717 484 2.152 047 438 Durabilit denoura Pty. 336214313 1.571 136 a) What is the null hypothesis being tested? b) Write the regression equation. c) An unstandardized B coefficient value of.504 for style means Which of the independent variables contributes most in predicting preference? Based on what? d) e) Can we reject the null hypothesis? Based on what?

Explanation / Answer

Solving question 29, Please repost the rest individually

a) , R - the correlation coefficient R measures the strength and direction of a linear relationship between dependent and independent variable

b) R2 is a statistic that will give some information about the goodness of fit of a model. In regression, the R2coefficient of determination is a statistical measure of how well the regression line approximates the real data points.

c) R^2 adjustment depends upon -

Number of predictors or independent variables - durability,style and comfort

Sample size of the experiment.

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