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Mode 1 2 3 2 3 Model 1 2 2 R Square .886 .938 .970 a. Predictors: (Constant), X3 - Advertising Expenditures ($) b. Predictors: (Constant), X3 - Advertising Expenditures ($), X4 - Personal Selling Expenditures ($) Model 1 R .941a .968b .985€ Model 1 c. Predictors: (Constant), X3 - Advertising Expenditures ($), X4 - Personal Selling Expenditures ($), X2 - Price ($) d. Dependent Variable: X1 - Units Sales Regression Residual Total Model 3 Regression Residual Total Sum of Squares 3594214.924 463076.742 4057291.667 3804567.477 252724.190 4057291.667 3934437.548 122854.119 Total 4057291.667 11 a. Predictors: (Constant), X3- Advertising Expenditures ($) b. Predictors: (Constant), X3 - Advertising Expenditures ($), X4 - Personal Selling Expenditures ($) Regression Residual Model 3 (Constant) X3 - Advertising Expenditures ($) (Constant) Model Summary Adjusted R Square X3 - Advertising Expenditures ($) X4 - Personal Selling Expenditures ($) a. Dependent Variable: X1 - Units Sales (Constant) X3 - Advertising Expenditures ($) (Constant) X3 - Advertising Expenditures ($) (Constant) X3 - Advertising Expenditures ($) X4 - Personal Selling Expenditures ($) a. Dependent Variable: X1 - Units Sales .874 .924 958 (Constant) X3 - Advertising Expenditures ($) ANOVA X4 - Personal Selling Expenditures ($) X2 - Price ($) a. Dependent Variable: X1 - Units Sales df c. Predictors: (Constant), X3 - Advertising Expenditures ($), X4 - Personal Selling Expenditures ($), X2 - Price ($) d. Dependent Variable: X1 - Units Sales Partial X4 - Personal Selling Expenditures ($) X2 - Price ($) a. Dependent Variable: X1 - Units Sales Coefficients Unstandardized Coefficients B 154.801 -706.137 .051 .701 11 .093 .941 1 10 11 2 1902283.738 9 28080.466 3 8 .048 .674 Correlations Partial Std. Error of the Estimate .036 .066 -.296 Coefficientsa .674 Mean Square 3594214.924 46307.674 .852 -.717 215.192 167.572 123.922 1311479.183 15356.765 Correlations Coefficientsa Part Std. Error Unstandardized Coefficients B -117.513 220.730 .011 358.456 .941 .245 .228 Part .017 .017 Coefficientsa Std. Error .159 .283 -.179 Durbin- Watson 333.526 .014 .014 .102 1.000 2.052 Collinearity Statistics Tolerance VIF .224 Standardized Coefficients Beta .224 F 77.616 67.744 85.401 .192 .180 .802 .941 .518 .481 1.000 4.461 Standardized Coefficients Beta 4.461 .362 Collinearity Statistics Tolerance VIF .668 -.200 5.214 5.551 1.247 Sig. .000a .000b .000€ t .701 8.810 -1.970 2.946 2.737 t -.352 2.579 4.607 -2.908 Sig. .499 .000 .080 .016 .023 Sig. .734 .033 .002 .020 Correlatio ns Zero-order .941 .941 .937 Correlatio ns Zero-order .941 .937 -.016

Mode 1 2 3 2 3 Model 1 2 2 R Square .886 .938 .970 a. Predictors: (Constant), X3 - Advertising Expenditures ($) b. Predictors: (Constant), X3 - Advertising Expenditures ($), X4 - Personal Selling Expenditures ($) Model 1 R .941a .968b .985€ Model 1 c. Predictors: (Constant), X3 - Advertising Expenditures ($), X4 - Personal Selling Expenditures ($), X2 - Price ($) d. Dependent Variable: X1 - Units Sales Regression Residual Total Model 3 Regression Residual Total Sum of Squares 3594214.924 463076.742 4057291.667 3804567.477 252724.190 4057291.667 3934437.548 122854.119 Total 4057291.667 11 a. Predictors: (Constant), X3- Advertising Expenditures ($) b. Predictors: (Constant), X3 - Advertising Expenditures ($), X4 - Personal Selling Expenditures ($) Regression Residual Model 3 (Constant) X3 - Advertising Expenditures ($) (Constant) Model Summary Adjusted R Square X3 - Advertising Expenditures ($) X4 - Personal Selling Expenditures ($) a. Dependent Variable: X1 - Units Sales (Constant) X3 - Advertising Expenditures ($) (Constant) X3 - Advertising Expenditures ($) (Constant) X3 - Advertising Expenditures ($) X4 - Personal Selling Expenditures ($) a. Dependent Variable: X1 - Units Sales .874 .924 958 (Constant) X3 - Advertising Expenditures ($) ANOVA X4 - Personal Selling Expenditures ($) X2 - Price ($) a. Dependent Variable: X1 - Units Sales df c. Predictors: (Constant), X3 - Advertising Expenditures ($), X4 - Personal Selling Expenditures ($), X2 - Price ($) d. Dependent Variable: X1 - Units Sales Partial X4 - Personal Selling Expenditures ($) X2 - Price ($) a. Dependent Variable: X1 - Units Sales Coefficients Unstandardized Coefficients B 154.801 -706.137 .051 .701 11 .093 .941 1 10 11 2 1902283.738 9 28080.466 3 8 .048 .674 Correlations Partial Std. Error of the Estimate .036 .066 -.296 Coefficientsa .674 Mean Square 3594214.924 46307.674 .852 -.717 215.192 167.572 123.922 1311479.183 15356.765 Correlations Coefficientsa Part Std. Error Unstandardized Coefficients B -117.513 220.730 .011 358.456 .941 .245 .228 Part .017 .017 Coefficientsa Std. Error .159 .283 -.179 Durbin- Watson 333.526 .014 .014 .102 1.000 2.052 Collinearity Statistics Tolerance VIF .224 Standardized Coefficients Beta .224 F 77.616 67.744 85.401 .192 .180 .802 .941 .518 .481 1.000 4.461 Standardized Coefficients Beta 4.461 .362 Collinearity Statistics Tolerance VIF .668 -.200 5.214 5.551 1.247 Sig. .000a .000b .000€ t .701 8.810 -1.970 2.946 2.737 t -.352 2.579 4.607 -2.908 Sig. .499 .000 .080 .016 .023 Sig. .734 .033 .002 .020 Correlatio ns Zero-order .941 .941 .937 Correlatio ns Zero-order .941 .937 -.016

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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INTERPRET THE RESULT
1) Check for consistency in the relationship between quantity demand and the three explanatory variables as postulated in demand theory by indicating the change in the quantity demanded of the commodity for each unit change in the explanatory variables.

2)Find and interpret the adjusted and the unadjusted coefficient of determination.

Mode I 2 3 2 Model 1 2 R Square .886 .938 .970 a. Predictors: (Constant), X3 - Advertising Expenditures ($) b. Predictors: (Constant), X3 - Advertising Expenditures ($), X4 - Personal Selling Expenditures ($) R .941a .968b .985€ Model 1 c. Predictors: (Constant), X3 - Advertising Expenditures ($), X4 - Personal Selling Expenditures ($), X2 - Price ($) d. Dependent Variable: X1 - Units Sales Sum of Squares 3594214.924 463076.742 4057291.667 3804567.477 252724.190 4057291.667 3934437.548 122854.119 Total 4057291.667 11 a. Predictors: (Constant), X3 - Advertising Expenditures ($) Model 1 Regression Residual Total Regression Residual Total Model 3 Regression Residual Model 3 Model Summaryd Adjusted R Square (Constant) X3 - Advertising Expenditures ($) (Constant) X3 - Advertising Expenditures ($) X4 - Personal Selling Expenditures ($) a. Dependent Variable: X1 - Units Sales (Constant) X3 - Advertising Expenditures ($) (Constant) X3 - Advertising Expenditures ($) (Constant) X3 - Advertising Expenditures ($) .874 .924 .958 X4 - Personal Selling Expenditures ($) a. Dependent Variable: X1 - Units Sales ANOVA (Constant) X3 - Advertising Expenditures ($) b. Predictors: (Constant), X3 - Advertising Expenditures ($), X4 - Personal Selling Expenditures ($) df c. Predictors: (Constant), X3 - Advertising Expenditures ($), X4 - Personal Selling Expenditures ($), X2 - Price ($) d. Dependent Variable: X1 - Units Sales X4 - Personal Selling Expenditures ($) X2 - Price ($) a. Dependent Variable: X1 - Units Sales Partial X4 - Personal Selling Expenditures ($) X2 - Price ($) a. Dependent Variable: X1 - Units Sales Unstandardized Coefficients B 154.801 Coefficientsa 1 10 11 -706.137 .701 .093 .941 2 9 11 3 1311479.183 8 15356.765 .051 .048 .674 Partial Std. Error of the Estimate 215.192 167.572 123.922 Correlations Coefficientsa Mean Square 3594214.924 46307.674 .066 -.296 .674 1902283.738 28080.466 036 .852 -.717 Correlations Coefficientsa Std. Error Part Unstandardized Coefficients B -117.513 220.730 .941 358.456 .017 .245 .228 Part .011 .017 Coefficientsa Std. Error .159 .283 -.179 333.526 Durbin- Watson .014 .014 .102 1.000 2.052 Collinearity Statistics Tolerance VIF .224 F 77.616 Standardized Coefficients Beta .224 67.744 85.401 .192 .180 .802 .941 .518 .481 1.000 4.461 Standardized Coefficients Beta 4.461 .362 Collinearity Statistics Tolerance VIF .668 -.200 5.214 5.551 1.247 Sig. .000ª .000b .000⁰ t .701 8.810 -1.970 2.946 2.737 t -.352 2.579 4.607 -2.908 Sig. .499 .000 .080 .016 .023 Sig. .734 .033 .002 020 Correlatio ns Zero-order .941 .941 .937 Correlatio ns Zero-order .941 .937 -.016
Transcribed Image Text:Mode I 2 3 2 Model 1 2 R Square .886 .938 .970 a. Predictors: (Constant), X3 - Advertising Expenditures ($) b. Predictors: (Constant), X3 - Advertising Expenditures ($), X4 - Personal Selling Expenditures ($) R .941a .968b .985€ Model 1 c. Predictors: (Constant), X3 - Advertising Expenditures ($), X4 - Personal Selling Expenditures ($), X2 - Price ($) d. Dependent Variable: X1 - Units Sales Sum of Squares 3594214.924 463076.742 4057291.667 3804567.477 252724.190 4057291.667 3934437.548 122854.119 Total 4057291.667 11 a. Predictors: (Constant), X3 - Advertising Expenditures ($) Model 1 Regression Residual Total Regression Residual Total Model 3 Regression Residual Model 3 Model Summaryd Adjusted R Square (Constant) X3 - Advertising Expenditures ($) (Constant) X3 - Advertising Expenditures ($) X4 - Personal Selling Expenditures ($) a. Dependent Variable: X1 - Units Sales (Constant) X3 - Advertising Expenditures ($) (Constant) X3 - Advertising Expenditures ($) (Constant) X3 - Advertising Expenditures ($) .874 .924 .958 X4 - Personal Selling Expenditures ($) a. Dependent Variable: X1 - Units Sales ANOVA (Constant) X3 - Advertising Expenditures ($) b. Predictors: (Constant), X3 - Advertising Expenditures ($), X4 - Personal Selling Expenditures ($) df c. Predictors: (Constant), X3 - Advertising Expenditures ($), X4 - Personal Selling Expenditures ($), X2 - Price ($) d. Dependent Variable: X1 - Units Sales X4 - Personal Selling Expenditures ($) X2 - Price ($) a. Dependent Variable: X1 - Units Sales Partial X4 - Personal Selling Expenditures ($) X2 - Price ($) a. Dependent Variable: X1 - Units Sales Unstandardized Coefficients B 154.801 Coefficientsa 1 10 11 -706.137 .701 .093 .941 2 9 11 3 1311479.183 8 15356.765 .051 .048 .674 Partial Std. Error of the Estimate 215.192 167.572 123.922 Correlations Coefficientsa Mean Square 3594214.924 46307.674 .066 -.296 .674 1902283.738 28080.466 036 .852 -.717 Correlations Coefficientsa Std. Error Part Unstandardized Coefficients B -117.513 220.730 .941 358.456 .017 .245 .228 Part .011 .017 Coefficientsa Std. Error .159 .283 -.179 333.526 Durbin- Watson .014 .014 .102 1.000 2.052 Collinearity Statistics Tolerance VIF .224 F 77.616 Standardized Coefficients Beta .224 67.744 85.401 .192 .180 .802 .941 .518 .481 1.000 4.461 Standardized Coefficients Beta 4.461 .362 Collinearity Statistics Tolerance VIF .668 -.200 5.214 5.551 1.247 Sig. .000ª .000b .000⁰ t .701 8.810 -1.970 2.946 2.737 t -.352 2.579 4.607 -2.908 Sig. .499 .000 .080 .016 .023 Sig. .734 .033 .002 020 Correlatio ns Zero-order .941 .941 .937 Correlatio ns Zero-order .941 .937 -.016
Model 1 2 Model 1 X2 - Price ($) .605 X4 - Personal Selling .481a .023 Expenditures ($) 2 X2 - Price ($) -.200b .020 a. Predictors in the Model: (Constant), X3- Advertising Expenditures ($) 1 2 Dime Mode nsio 3 X2 - Price ($) X4 - Personal Selling Expenditures ($) X2 - Price ($) n Charts WN - N -P Regression Standardized Predicted Value b. Predictors in the Model: (Constant), X3- Advertising Expenditures ($), X4 - Personal Selling Expenditures ($) c. Dependent Variable: X1 - Units Sales VIF 1.002 .998 4.461 .224 1.247 .180 a. Predictors in the Model: (Constant), X3- Advertising Expenditures ($) b. Predictors in the Model: (Constant), X3 - Advertising Expenditures ($), X4 - Personal Selling Expenditures ($) c. Dependent Variable: X1 - Units Sales 1 2 1 2 3 1 2 A WN- 3 Eigenvalue 1.960 .040 2.956 .040 .004 3.932 .057 .007 4 Predicted Value Std. Predicted Value Standard Error of Predicted Value Adjusted Predicted Value Residual O Excluded Variables Beta In .003 a. Dependent Variable: X1 - Units Sales O -.060a Excluded Variables -1 Std. Residual Stud. Residual Deleted Residual Stud. Deleted Residual Mahal. Distance Cook's Distance Centered Leverage Value a. Dependent Variable: X1 - Units Sales Minimum 1,029.26 -1.658 41.974 1,043.92 -146.247 Condition Index -1.180 -1.562 -280.854 -1.752 .345 .000 .031 Collinearity Statistics Minimum Tolerance 1.000 6.963 1.000 8.551 27.487 1.000 8.300 23.164 33.916 t -.537 2.737 -2.908 Residuals Statisticsa Collinearity Diagnostics (Constant) O 1.532 2.706 592.346 8.699 6.558 3.881 .596 .02 O 888888 .98 0 .00 .23 .77 Maximum Mean 3,133.35 2,020.83 1.860 .000 102.152 69.953 3,280.85 1,997.70 189.842 2.15E-13 .00 .03 Sig. .09 Scatterplot .000 .064 23.138 .558 2.750 .440 .250 Partial Correlation Advertising Expenditures ($) Dependent Variable: X1 - Units Sales O Variance Proportions X3 - .02 .98 .00 .22 .78 .00 .15 .00 .85 Std. Deviation 598.060 1.000 15.682 614.712 105.681 .853 1.212 226.912 2.732 1.653 1.102 .150 -.176 .674 -.717 1 Regression Standardized Residual O Collinearit y Statistics X4 - Personal Selling Expenditures ($) N Tolerance .998 .224 .802 .00 .00 1.00 .00 .00 .00 .99 O 12 12 12 12 12 12 12 12 12 12 12 12 X2 Price ($) -N 2 .00 .05 .72 .23
Transcribed Image Text:Model 1 2 Model 1 X2 - Price ($) .605 X4 - Personal Selling .481a .023 Expenditures ($) 2 X2 - Price ($) -.200b .020 a. Predictors in the Model: (Constant), X3- Advertising Expenditures ($) 1 2 Dime Mode nsio 3 X2 - Price ($) X4 - Personal Selling Expenditures ($) X2 - Price ($) n Charts WN - N -P Regression Standardized Predicted Value b. Predictors in the Model: (Constant), X3- Advertising Expenditures ($), X4 - Personal Selling Expenditures ($) c. Dependent Variable: X1 - Units Sales VIF 1.002 .998 4.461 .224 1.247 .180 a. Predictors in the Model: (Constant), X3- Advertising Expenditures ($) b. Predictors in the Model: (Constant), X3 - Advertising Expenditures ($), X4 - Personal Selling Expenditures ($) c. Dependent Variable: X1 - Units Sales 1 2 1 2 3 1 2 A WN- 3 Eigenvalue 1.960 .040 2.956 .040 .004 3.932 .057 .007 4 Predicted Value Std. Predicted Value Standard Error of Predicted Value Adjusted Predicted Value Residual O Excluded Variables Beta In .003 a. Dependent Variable: X1 - Units Sales O -.060a Excluded Variables -1 Std. Residual Stud. Residual Deleted Residual Stud. Deleted Residual Mahal. Distance Cook's Distance Centered Leverage Value a. Dependent Variable: X1 - Units Sales Minimum 1,029.26 -1.658 41.974 1,043.92 -146.247 Condition Index -1.180 -1.562 -280.854 -1.752 .345 .000 .031 Collinearity Statistics Minimum Tolerance 1.000 6.963 1.000 8.551 27.487 1.000 8.300 23.164 33.916 t -.537 2.737 -2.908 Residuals Statisticsa Collinearity Diagnostics (Constant) O 1.532 2.706 592.346 8.699 6.558 3.881 .596 .02 O 888888 .98 0 .00 .23 .77 Maximum Mean 3,133.35 2,020.83 1.860 .000 102.152 69.953 3,280.85 1,997.70 189.842 2.15E-13 .00 .03 Sig. .09 Scatterplot .000 .064 23.138 .558 2.750 .440 .250 Partial Correlation Advertising Expenditures ($) Dependent Variable: X1 - Units Sales O Variance Proportions X3 - .02 .98 .00 .22 .78 .00 .15 .00 .85 Std. Deviation 598.060 1.000 15.682 614.712 105.681 .853 1.212 226.912 2.732 1.653 1.102 .150 -.176 .674 -.717 1 Regression Standardized Residual O Collinearit y Statistics X4 - Personal Selling Expenditures ($) N Tolerance .998 .224 .802 .00 .00 1.00 .00 .00 .00 .99 O 12 12 12 12 12 12 12 12 12 12 12 12 X2 Price ($) -N 2 .00 .05 .72 .23
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