What is the slope of the line containing the point (34,-27) and (14, 37)
2 answers:
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Answer:
b. (10, -1), (-6, -9), (2, 7)
Step-by-step explanation:
One way to solve this problem is by graphing (see attachment). In fact, that actually is the easiest way to do this.
First, graph x + y < 9 (red part on the attachment). To do this, isolate the y so that it's like a regular linear equation: y < -x + 9. Graph the line y = -x + 9 first, and then choose a point either on the left or right of the line to plug in for x and y.
Let's just choose (0, 0), which is on the left of the line: 0 < -0 + 9 ⇒ 0 < 9. Since this is a true statement, we know that we should shade the left side of the equation, and not the right side.
Now, graph x - 2y < 12 (blue part on the attachment). It's the same process here as the first inequality. For this one, we find that we also shade to the "left" of the line (it's more "up" than "left", but you get the idea).
Finally, graph y < 2x + 3 (green part on the attachment). Again, it's the same process. For this, we shade to the right.
Now look at the three points that they intersect at: they are (2, 7), (-6, -9), and (10, -1). The answer is thus B.
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