Interpret the residuals, intercept and slope, Shapiro test and r squared value. Analysis and conclusions from evidence from the R data and graphs please.
Interpret the residuals, intercept and slope, Shapiro test and r squared value. Analysis and conclusions from evidence from the R data and graphs please.
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
Interpret the residuals, intercept and slope, Shapiro test and r squared value. Analysis and conclusions from evidence from the R data and graphs please.
Transcribed Image Text:Residuals:
Min
-10.531 -4.989
Coefficients:
10 Median
3Q
1.869 5.267
(Intercept)
`Body Weight (kg) `
Signif. codes: 0 *** 0.001
`Body Weight (kg) `
Residuals
Estimate Std. Error t value Pr (>|t|)
42.62755
6.209 0.000157
0.62692
8.402 1.49e-05 ***
7
Residual standard error: 7.077 on 9 degrees of freedom
Multiple R-squared: 0.8869, Adjusted R-squared:
F-statistic: 70.6 on 1 and 9 DF, p-value: 1.492e-05
8
> abline (Regression.model, col=4, lwd=3)
> anova (Regression.model)
Analysis of Variance Table
Response: Bench press standards per class of body weight (kg) - Average
Sum Sq Mean Sq F value
Pr (>F)
6.86517
0.07461
1**/
2
Signif. codes:
1**/
0 *** 0.001
> stdres<- rstandard (Regression.model)
> print (stdres)
1
Max
7.950
9
Df
1 3536.0 3536.0 70.601 1.492e-05 ***
9 450.8
50.1
0.01 * 0.05 ¹.0.1 1
>qqline (stdres)
> shapiro.test(stdres)
3
data: stdres
W = 0.91857, p-value = 0.3069
10
-1.4864868 -1.0645996 -0.5043759 0.2843252 0.6513863 1.1083291
1.1786018
Shapiro-Wilk normality test
0.8744
0.01 1*1 0.05. 0.1 1
4
0.9248828 0.5985440 -0.3245869 -2.0230776
11
> plot (Body Weight (kg)`, stdres, main="Std residuals versus
explanatory variable")
> fits<- fitted (Regression.model)
> plot (fits, stdres, main="Std residuals versus fits")
> qqnorm (stdres, main="Q-Q Plot")
5
6
Transcribed Image Text:100 110 120
Bench press standards per class of body weight (kg) - Average
Sample Quantiles
06
80
70
0.0 0.5 1.0
-1.0
-2.0
O
O
60
Scatterplot for average
O
80
-1.5 -1.0
0
100
-0.5
Body Weight (kg)
O
Q-Q Plot
O
120
0.0 0.5
Theoretical Quantiles
O
O
1.0
140
O
1.5
O
stdres
0.0 0.5 1.0
stdres
-1.0
-2.0
1.0
0.5
0.0
-0.5
-1.5 -1.0
-2.0
Std residuals versus explanatory variable
O
T
09
o
80
O
O
80
90
O
O
Body Weight (kg)
O
Std residuals versus fits
O
100
100
O
fits
O
120
110
O
120
140
130
O
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