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!
The domain in a relation y(x) is the set of values for which the relation is defined (the values on x, where y is defined)
In this relation the values wich the relation is defined is: the coordinates of x where there are a point:
Domain: -1, 0, 3
The range in a relation y(x) is the set of all the values that y(x) takes (the values of y)
In this relation the values that takes y(x) are the coordinates of y where there are a point:
Range: -3, -1, 0
F(x)= (x-p)²+q where (p,q) is min point
f(x)=(x-1)²-2
min point is (1,-2)
the answer is first picture