Answer:
Step-by-step explanation:
Given the inequality
|x|> 1
The modulus of x shows that x can be both positive and negative value.
If x is positive:
x>1
1<x
If x is negative:
-x>1
Multiplying both sides of the inequality by minus will change the inequality sign
x < -1
Combining both inequalities:
1<x<-1
Find the position on the number line in the attachment
Answer:
At a level of 95%, it is expected that the interval [0.45; 11.59] contains the value of the ductility in steel when its carbon content is 0.5%.
Step-by-step explanation:
Hello!
Considering the dependent variable:
Y: Ductility in steel.
And the independent variable:
X: Carbon content of the steel.
The linear regression was estimated and a prediction interval was calculated.
The prediction interval is calculated to predict a value that the variable Y (response variable) can take for a given value of the variable X (predictor variable) in the definition range of the linear regression line. Symbolically [Y/X=]
In this case 95% prediction interval for Y/X=0.5
At a level of 95%, it is expected that the interval [0.45; 11.59] contains the value of the ductility in steel when its carbon content is 0.5%.
I hope it helps!