If a given data point is (1,4) and the line of best fit is y = 1.5x + 3.25, what's the residual value?
1 answer:
Answer:
The residual value is -0.75
Step-by-step explanation:
we know that
The residual value is the observed value minus the predicted value.
RESIDUAL VALUE=[OBSERVED VALUE-PREDICTED VALUE]
where
Predicted value.--> the predicted value given the current regression equation
Observed value. --> The observed value for the dependent variable.
in this problem
we have the point (1,4)
so
The observed value is 4
<em>Find the predicted value for x=1 </em>
predicted value is 4.75
so
RESIDUAL VALUE=(4-4.75)=-0.75
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<h2>Hello!</h2>
The answer is:
The domain of the function is all the real numbers except the number 13:
Domain: (-∞,13)∪(13,∞)
<h2>Why?</h2>This is a composite function problem. To solve it, we need to remember how to composite a function. Composing a function consists of evaluating a function into another function.
Composite function is equal to:
So, the given functions are:
Then, composing the functions, we have:
Therefore, we must remember that the domain are all those possible inputs where the function can exists, most of the functions can exists along the real numbers with no rectrictions, however, for this case, there is a restriction that must be applied to the resultant composite function.
If we evaluate "x" equal to 13, the denominator will tend to 0, and create an indetermination since there is no result in the real numbers for a real number divided by 0.
So, the domain of the function is all the real numbers except the number 13:
Domain: (-∞,13)∪(13,∞)
Have a nice day!
Answer:
9=x
Step-by-step explanation:
Answer:
B. y= -4x + 28
Step-by-step explanation:
To find the equation of this line first put it into slope-point form, where
and
are the y and x coordinates and m is the slope. So plug in the information to get the equation, y-8=-4(x-5). Then solve for y,
First, distribute the -4
y-8=-4x+20
Next, add 8 to both sides
y=-4x+28