Answer:
5
Step-by-step explanation:
Hence it is correct.. thanks for points.
Answer:
1. Randomly divide the available set of observations into two
parts, a training set and a validation set or hold-out set.
2. Fit the model on the training set.
3. Use the resulting fitted model to predict the responses for the
observations in the validation set.
4. The resulting validation set error rate is typically assessed using
the MSE in the case of a quantitative response. This provides
an estimate of the test error rate.
Vertex form is ...
y = a(x -h)² +k
where (h, k) is the vertex and "a" is a scale factor.
When you expand this, you find it becomes
y = ax² -2ahx + ah² +k
When we compare coefficients, we find
a = 3
-2ah = 12
ah² +k = 5
Working from the top down, we can find each of the parameters of the vertex form. We already know
a = 3
Using that in the next equation, we have
-2·3·h = 12
h = 12/-6 = -2
Finally, using that in the last equation, we have
3·(-2)² +k = 5
k = 5 -12 = -7
Our vertex form is
y = 3(x +2)² -7
_____
"Completing the square" achieves the same result in slightly different fashion. When we multiply out the vertex form, we can get the equation
y = a(x² -2hx +h²) +k
Here, we recognize that the constant inside parentheses (h²) is the square of half the x-coefficient inside parentheses. So we first put the given equation in a form that almost looks like this by factoring out the leading coefficient from the first two terms:
y = 3(x² +4x) +5
Now, we recognize the coefficient of x as 4, so the square of half that will be (4/2)² = 2² = 4. When we "complete the square" we add that value inside parentheses and subtract the equivalent value outside parentheses. (Don't forget to multiply by the "3" that is outside parentheses.)
y = 3(x² +4x +4) +5 -3·4
y = 3(x +2)² -7
If you are given
1. 2 points go to AAAAAA
2. slope and 1 point go to BBBBBB
3. y intercept and x intercept go to CCCC
AAAAAAAA
y=mx+b
m=slope
b=y intercept
if you have the points (x,y) and (z,t), then
slope=(y-t)/(x-z)
then subsitute slope and subsitute one point for x and y (x,y) to solve for b
BBBBBBB
y=mx+b
m=slope
b=y intercept
if you are given the slope, then input the slope for m and input the point and solve for b (ex if given slope=3 and one point is (1,4) then 4=3(1)+b 4=3+b, b=1)
CCCCCCCCC
y=mx+b
m=slope
b=y intercept
x intercept is where the line crosses the x axis or where y=0 and y intercept=where the line crosses the y axis or when x=0
subsitute y intercept for b
subsitute the point (x,0) in the euqaitoin (x=x intercept)
