Answer and Step-by-step explanation:
Polynomial models are an excellent implementation for determining which input element reaction and their direction. These are also the most common models used for the scanning of designed experiments. It defines as:
Z = a0 + a1x1 + a2x2 + a11x12 + a22x22+ a12x1x2 + Є
It is a quadratic (second-order) polynomial model for two variables.
The single x terms are the main effect. The squared terms are quadratic effects. These are used to model curvature in the response surface. The product terms are used to model the interaction between explanatory variables where Є is an unobserved random error.
A polynomial term, quadratic or cubic, turns the linear regression model into a curve. Because x is squared or cubed, but the beta coefficient is a linear model.
In general, we can model the expected value of y as nth order polynomial, the general polynomial model is:
Y = B0 + B1x1 + B2x2 + B3x3 + … +
These models are all linear since the function is linear in terms of the new perimeter. Therefore least-squares analysis, polynomial regression can be addressed entirely using multiple regression
Answer:
1/3
Step-by-step explanation:
The two points are (2, -1) and (-1, -2).
Slope is y change over x change.
So... -2-(-1) over -1-2 which is -2+1 over -3
Slope is -1/-3
The answer is 1/3.
Hope this helps :D
Answer: I would have to say B
Step-by-step explanation: Because it is right along the line of that.
First, we need to find the area of the two rectangles in this picture. We know that area = l*w.
So for the larger rectangle, we know the l = 100 m, and the w = 60 m. Let us find the area:
So the larger rectangle area is 6000 m.
The smaller rectangle has dimensions that are 2 m less on every side. So we can recalculate these dimensions as l = 96 m and w = 56 m.
Let's find the area of the smaller rectangle:
So we know that the area of the smaller rectangle is 5,376 m.
The area of the jogging path is going to be the difference between these two rectangles. Let us solve:
So now we know that
the area of the jogging path is 
.
<h3>
Answer: k = 0 or k = 3</h3>
Explanation:
If you have repeated x values, then you wont have a function. For example, the points (1,5) and (1,6) mean we don't have a function since the input x = 1 leads to multiple outputs y = 5 and y = 6 simultaneously. For a function to be possible, we must have any input lead to exactly one output only.
What we do is set the x coordinates (k^2 and 3k) equal to each other and solve for k
k^2 = 3k
k^2-3k = 0
k(k-3) = 0 .... factoring
k = 0 or k-3 = 0 .... zero product property
k = 0 or k = 3
If k = 0, then (k^2,5) becomes (0,5). Also, (3k,6) becomes (0,6). The two points (0,5) and (0,6) mean the graph fails the vertical line test.
Similarly, if k = 3, then (k^2,5) becomes (9,5) and (3k,6) = (9,6). Another vertical line test failure happens here to show we don't have a function.
