RANK Created Variables Regression Source Variable Function New Variable Label X1 Fractional Rank Percent PERO01 Fractional Rank Percent of X1 Variables EnteredRemoved Fractional Rank Percent PER002 Fraçtional Rank Percent of X2 Variables Entered Variables Removed X3 Y1 Fractional Rank Percent PER003 Fractional Rank Percent of X3 Model Method X3, X1, x2 Enter Fractional Rank Percent PY1 Fractional Rank Percent of Y1 a. Dependent Variable: Y1 a. Mean rank of tied values is used for ties. b. All requested variables entered. b. Ranks are in ascending order. Model Summary Adjusted R Square Std. Error of Explore R Square the Estimate 3.97213 Model R 478 229 215 a. Predictors: (Constant), X3, X1, X2 Case Processing Summary Čases ANOVA Valid Missing Total Sum of Squares Percent N Percent Percent Model of Mean Square F Si. Regression 775.883 3 258.628 16.392 .000 Pump Presure 170 100.0% 0.0% 170 100.0% Residual 2619.119 166 15.778 Density 170 100.0% 0.0% 170 100.0% Total 3395.002 169 Viscosity a. Dependent Variable: Y1 b. Predictors: (Constant), X3, X1, X2 170 100.0% 0.0% 170 100.0% Descriptives Coefficients Statistic Std. Error Standardized Unstandardized Coefficients Coefficients Pump Presure Mean 18.3735 07043 Model B Std. Error Beta Sig. 95% Confidence Interval for Mean Lower Bound 18.2345 (Constant) -177.749 60.845 -2.921 .004 Upper Bound 18.5126 X1 -870 352 178 -2.472 .014 X2 111.901 34.646 273 3.230 .001 5% Trimmed Mean 18.3660 X3 2.278 .820 238 2.780 06 Median 18.0000 a. Dependent Variable: Y1 Variance 843 Std. Deviation .91836 Minimum 16.00 Maximum Descriptives 21.00 Range 5.00 Interquartile Range 1.00 Descriptive Statistics Skewness 536 .186 N Range Minimum Maximum Mean Std. Deviation Variance Kurtosis 449 370 Pump Presure 170 5.00 16.00 21.00 18.3735 91836 843 Density Mean 1.7502 00084 Density 170 .06 1.72 1.78 1.7502 .01093 .000 95% Confidence Interval Lower Bound 1.7486 Viscosity 170 2.45 2.68 5.13 3.8696 46779 219 for Mean Upper Bound 1.7519 30# (%) 170 27.50 3.20 30.70 10.9341 4.48205 20.089 5% Trimmed Mean 1.7502 Valid N (listwise) 170 Median 1.7500 Variance 000 Std. Deviation .01093 PPlot Minimum 1.72 Maximum 1.78 Model Description Range .06 Model Name MOD_1 Interquartile Range 02 Series or Sequence Pump Presure Skewness 008 .186 2 Density Kurtosis 594 370 3 Viscosity Viscosity Mean 3.8696 .03588 Transformation None 95% Confidence Interval Lower Bound 3.7988 Non-Seasonal Differencing for Mean Upper Bound 3.9405 Seasonal Differencing 5% Trimmed Mean 3.8766 Length of Seasonal Period No periodicity Median 3.8400 Standardization Not applied Variance 219 Distribution Type Normal Std. Deviation 46779 Location estimated Minimum 2.68 Scale estimated Maximum 5.13 Fractional Rank Estimation Method Blom's Range 2.45 Rank Assigned to Ties Mean rank of tied values Interquartile Range .52 Applying the model specifications from MOD_1 Skewness 042 .186 Kurtosis 344 370 Case Processing Summary Pump Presure Tests of Normality Density Viscosity Kolmogorov-Smirnov Shapiro-Wilk Series or Sequence Length 170 170 170 Statistic df Sig. Statistic df Sig. Number of Missing User-Missing Pump Presure 299 170 .000 858 170 .000 Values in the Plot System-Missing Density 185 170 .000 913 170 .000 The cases are unweighted. Viscosity .114 170 .000 969 170 .001 a. Lilliefors Significance Correction Estimated Distribution Parameters Pump Presure Density Viscosity Normal Distribution Location 18.3735 1.7502 3.8696 Scale 91836 01093 46779 The cases are unweighted.

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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Question

I need to rectify below issues. Please help me.

1. Model Summery 

2. Interpretation about ANOVA (output significant value)

3. How we manually calculate Regression and interpretation (using the formula of Y=βox1x2x3+e)

RANK
Created Variables
Regression
New Variable
Label
Source Variable
X1
X2b
Function
Fractional Rank Percent
PER001
Fractional Rank Percent of X1
Variables Entered/Removed
Fractional Rank Percent
PER002
Fractional Rank Percent of X2
Variables
Variables
X36
Y1b
Fractional Rank Percent
PERO03
Fractional Rank Percent of X3
Model
Entered
Removed
Method
1
Х3, X1, X2b
Enter
Fractional Rank Percent
PY1
Fractional Rank Percent of Y1
a. Dependent Variable: Y1
a. Mean rank of tied values is used for ties.
b. All requested variables entered.
b. Ranks are in ascending order.
Model Summary
Explore
Adjusted R
Square
Std. Error of
the Estimate
Model
R
R Square
1
.478
.229
.215
3.97213
a. Predictors: (Constant), X3, X1, X2
Case Processing Summary
Cases
ANOVA
Valid
Missing
Total
Sum of
Percent
Percent
Percent
Model
Squares
df
Mean Square
F
Sig.
1
Regression
775.883
3
258.628
16.392
.000
Pump Presure
170
100.0%
0.0%
170
100.0%
Residual
2619.119
166
15.778
Density
170
100.0%
0.0%
170
100.0%
Total
3395.002
169
Viscosity
170
100.0%
0.0%
170
100.0%
a. Dependent Variable: Y1
b. Predictors: (Constant), X3, X1, X2
Descriptives
Coefficients
Statistic
Std. Error
Standardized
Unstandardized Coefficients
Coefficients
Pump Presure
Mean
18.3735
.07043
Model
Std. Error
Beta
Sig.
95% Confidence Interval
Lower Bound
18.2345
(Constant)
1
-177.749
60.845
-2.921
.004
for Mean
Upper Bound
18.5126
X1
-870
.352
-.178
-2.472
.014
X2
111.901
34.646
.273
3.230
.001
5% Trimmed Mean
18.3660
X3
2.278
.820
.238
2.780
.006
Median
18.0000
a. Dependent Variable: Y1
Variance
.843
Std. Deviation
.91836
Minimum
16.00
Descriptives
Maximum
21.00
Range
5.00
Interquartile Range
1.00
Descriptive Statistics
Skewness
.536
.186
Range
Maximum
N
Minimum
Mean
Std. Deviation
Variance
Kurtosis
.449
.370
Pump Presure
170
5.00
16.00
21.00
18.3735
.91836
.843
Density
Mean
1.7502
.00084
Density
170
.06
1.72
1.78
1.7502
.01093
.000
95% Confidence Interval
Lower Bound
1.7486
Viscosity
170
2.45
2.68
5.13
3.8696
.46779
.219
for Mean
Upper Bound
1.7519
30# (%)
170
27.50
3.20
30.70
10.9341
4.48205
20.089
5% Trimmed Mean
1.7502
Valid N (listwise)
170
Median
1.7500
Variance
.000
Std. Deviation
.01093
PPlot
Minimum
1.72
Maximum
1.78
Model Description
Range
.06
Model Name
MOD_1
Interquartile Range
.02
Series or Sequence
1
Pump Presure
Skewness
.008
.186
2
Density
Kurtosis
.594
.370
3
Viscosity
Viscosity
Mean
3.8696
.03588
Transformation
None
95% Confidence Interval
Lower Bound
3.7988
Non-Seasonal Differencing
for Mean
Upper Bound
3.9405
Seasonal Differencing
5% Trimmed Mean
3.8766
Length of Seasonal Period
No periodicity
Median
3.8400
Standardization
Not applied
Variance
.219
Distribution
Туре
Normal
Std. Deviation
.46779
Location
estimated
Minimum
2.68
Scale
estimated
Maximum
5.13
Fractional Rank Estimation Method
Blom's
Range
2.45
Rank Assigned to Ties
Mean rank of tied values
Interquartile Range
.52
Applying the model specifications from MOD_1
Skewness
.042
.186
Kurtosis
.344
.370
Case Processing Summary
Pump
Presure
Tests of Normality
Density
Viscosity
Kolmogorov-Smirnov
Sig.
Shapiro-Wilk
Series or Sequence Length
170
170
170
Statistic
df
Statistic
df
Sig.
Number of Missing
User-Missing
Pump Presure
.299
170
.000
.858
170
.000
Values in the Plot
System-Missing
Density
.185
170
00
.913
170
.000
The cases are unweighted.
Viscosity
.114
170
.000
.969
170
.001
a. Lilliefors Significance Correction
Estimated Distribution Parameters
Pump
Presure
Density
Viscosity
Normal Distribution
Location
18.3735
1.7502
3.8696
Scale
.91836
.01093
.46779
The cases are unweighted.
Transcribed Image Text:RANK Created Variables Regression New Variable Label Source Variable X1 X2b Function Fractional Rank Percent PER001 Fractional Rank Percent of X1 Variables Entered/Removed Fractional Rank Percent PER002 Fractional Rank Percent of X2 Variables Variables X36 Y1b Fractional Rank Percent PERO03 Fractional Rank Percent of X3 Model Entered Removed Method 1 Х3, X1, X2b Enter Fractional Rank Percent PY1 Fractional Rank Percent of Y1 a. Dependent Variable: Y1 a. Mean rank of tied values is used for ties. b. All requested variables entered. b. Ranks are in ascending order. Model Summary Explore Adjusted R Square Std. Error of the Estimate Model R R Square 1 .478 .229 .215 3.97213 a. Predictors: (Constant), X3, X1, X2 Case Processing Summary Cases ANOVA Valid Missing Total Sum of Percent Percent Percent Model Squares df Mean Square F Sig. 1 Regression 775.883 3 258.628 16.392 .000 Pump Presure 170 100.0% 0.0% 170 100.0% Residual 2619.119 166 15.778 Density 170 100.0% 0.0% 170 100.0% Total 3395.002 169 Viscosity 170 100.0% 0.0% 170 100.0% a. Dependent Variable: Y1 b. Predictors: (Constant), X3, X1, X2 Descriptives Coefficients Statistic Std. Error Standardized Unstandardized Coefficients Coefficients Pump Presure Mean 18.3735 .07043 Model Std. Error Beta Sig. 95% Confidence Interval Lower Bound 18.2345 (Constant) 1 -177.749 60.845 -2.921 .004 for Mean Upper Bound 18.5126 X1 -870 .352 -.178 -2.472 .014 X2 111.901 34.646 .273 3.230 .001 5% Trimmed Mean 18.3660 X3 2.278 .820 .238 2.780 .006 Median 18.0000 a. Dependent Variable: Y1 Variance .843 Std. Deviation .91836 Minimum 16.00 Descriptives Maximum 21.00 Range 5.00 Interquartile Range 1.00 Descriptive Statistics Skewness .536 .186 Range Maximum N Minimum Mean Std. Deviation Variance Kurtosis .449 .370 Pump Presure 170 5.00 16.00 21.00 18.3735 .91836 .843 Density Mean 1.7502 .00084 Density 170 .06 1.72 1.78 1.7502 .01093 .000 95% Confidence Interval Lower Bound 1.7486 Viscosity 170 2.45 2.68 5.13 3.8696 .46779 .219 for Mean Upper Bound 1.7519 30# (%) 170 27.50 3.20 30.70 10.9341 4.48205 20.089 5% Trimmed Mean 1.7502 Valid N (listwise) 170 Median 1.7500 Variance .000 Std. Deviation .01093 PPlot Minimum 1.72 Maximum 1.78 Model Description Range .06 Model Name MOD_1 Interquartile Range .02 Series or Sequence 1 Pump Presure Skewness .008 .186 2 Density Kurtosis .594 .370 3 Viscosity Viscosity Mean 3.8696 .03588 Transformation None 95% Confidence Interval Lower Bound 3.7988 Non-Seasonal Differencing for Mean Upper Bound 3.9405 Seasonal Differencing 5% Trimmed Mean 3.8766 Length of Seasonal Period No periodicity Median 3.8400 Standardization Not applied Variance .219 Distribution Туре Normal Std. Deviation .46779 Location estimated Minimum 2.68 Scale estimated Maximum 5.13 Fractional Rank Estimation Method Blom's Range 2.45 Rank Assigned to Ties Mean rank of tied values Interquartile Range .52 Applying the model specifications from MOD_1 Skewness .042 .186 Kurtosis .344 .370 Case Processing Summary Pump Presure Tests of Normality Density Viscosity Kolmogorov-Smirnov Sig. Shapiro-Wilk Series or Sequence Length 170 170 170 Statistic df Statistic df Sig. Number of Missing User-Missing Pump Presure .299 170 .000 .858 170 .000 Values in the Plot System-Missing Density .185 170 00 .913 170 .000 The cases are unweighted. Viscosity .114 170 .000 .969 170 .001 a. Lilliefors Significance Correction Estimated Distribution Parameters Pump Presure Density Viscosity Normal Distribution Location 18.3735 1.7502 3.8696 Scale .91836 .01093 .46779 The cases are unweighted.
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