When graphing an inequality on a number line, if you have ≥ or ≤
2 answers:
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Answer:
Part A)
The <em>x-</em>intercepts are (-1/4, 0) and (4, 0).
Part B)
The vertex is a maximum because the leading coefficient is negative.
The vertex is (1.875, 72.25).
Part C)
We can plot the zeros and the vertex, and connect them with a curve.
Step-by-step explanation:
The function given is:
Part A)
To find the <em>x-</em>intercepts of the function, set the function equal to 0 and solve for <em>x: </em>
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We can divide both sides by negative four:
Factor:
Zero Product Property:
Solve for each case:
Hence, our zeros are:
Part B)
Note that the leading coefficient of our function is negative.
So, our function will be concave down.
Hence, our vertex will be the maximum.
The vertex is given by:
In this case, <em>a </em>= -16, <em>b</em> = 60, and <em>c</em> = 16.
Find the <em>x-</em>coordinate of the vertex:
Substitute this back into the function to find the <em>y-</em>coordinate:
Hence, our vertex is:
Part C)
Since we already determined the zeros and the vertex, we can plot the two zeros and the vertex and draw a curve between the three points.
The graph is shown below. Again, to do this by hand, simply plot the three points and connect them with a parabola. If necessary, we can also find the <em>y-</em>intercept.
Answer:
Step-by-step explanation:
<u>Simple Linear Regression </u>
It a function that represents the relationship between two or more variables in a given data set. It uses the method of the least-squares regression line which minimizes the error between the estimate function and the real data.
Let's compute the best-fit line for the data
First, we find the sums
Then, we compute the averages values
We will also compute the sums of the cross-products and the sum of the squares
We will compute Sxy and Sxx
The slope of the linear regression function is given by
The y-intercept ot the linear function is
Thus the best-fit line is
The correct option is the last one