Determine: >The slope of the line for the Number Operators >The slope of the lin

Question

Determine:

>The slope of the line for the Number Operators

>The slope of the line for the Temperature

>The Y intercep

>The Determination Coefficient

>Based on the R value: what conclusion should be taken:

-Strong linear relationship with a positive slope

-Strong linear relationship

-No linear relationship

-None of the above

>Experimental Value of F

>Critical Value of F

>Based on the ANOVA: what conclusion should be taken:

-Strong linear relationship with a positive slope

-Strong linear relationship

-No linear relationship

-None of the above

There are several operators working the same type of equipment for this assembly line. It has been noticed that the waste of the line increases proportionally at different temperatures. With a 10 % of alpha determine is this is true. #Operators Rpm Waste 70 3 60 0.04 4 50 0.08 5 40 0.09 6 40 0.03 0.06

Explanation / Answer

intercept:0.652

slope of operators:-0.057

slope of temperature:-0.007

Multiple R-squared: 0.7577, Adjusted R-squared: 0.5154

thus it is wise to conclude:none of the above

as they show a moderate linear relationship.

>Experimental Value of F:3.127 on 2 and 2 DF

>Critical Value of F:9.00000

Based on the ANOVA: what conclusion should be taken:-No linear relationship.

R CODE:

> operators=c(2,3,4,5,6)
> waste=c(0.06,0.04,0.08,0.09,0.03)
> rpm=c(70,60,50,40,40)
> reg=lm(waste~operators+rpm)
> reg

Call:
lm(formula = waste ~ operators + rpm)

Coefficients:
(Intercept) operators rpm  
0.652 -0.057 -0.007  

> summary(reg)

Call:
lm(formula = waste ~ operators + rpm)

Residuals:
1 2 3 4 5
1.200e-02 -2.100e-02 6.000e-03 3.000e-03 -3.036e-17

Coefficients:
Estimate Std. Error t value Pr(>|t|)
(I
operators -0.057000 0.023141 -2.463 0.133
rpm -0.007000 0.002806 -2.494 0.130

Residual standard error: 0.01775 on 2 degrees of freedom
Multiple R-squared: 0.7577, Adjusted R-squared: 0.5154
F-statistic: 3.127 on 2 and 2 DF, p-value: 0.2423

> aov(reg)
Call:
aov(formula = reg)

Terms:
operators rpm Residuals
Sum of Squares 0.00001 0.00196 0.00063
Deg. of Freedom 1 1 2

Residual standard error: 0.01774824
Estimated effects may be unbalanced
> summary(aov(reg))
Df Sum Sq Mean Sq F value Pr(>F)
operators 1 0.00001 0.000010 0.032 0.875
rpm 1 0.00196 0.001960 6.222 0.130
Residuals 2 0.00063 0.000315
>

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.