Find the linear that is the best fit for the given data. Round decimals values to the nearest hundredth, if necessary

1 answer:

3 0

The linear least squares regression will have a slope of:

m=(nΣxy-ΣxΣy)/(nΣx^2-ΣxΣx)

m=(5*2078-30*281)/(5*220-30*30)

m=1960/200

m=9.8

and a y-intercept of:

b=(Σy-mΣx)/n

b=(281-9.8*30)/5

b=-2.6

So the line of best fit is:

y=9.8x-2.6

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Given a line segment A(16, 8) and B(1, 3) what are the coordinates or the line segment partitioned two-fifths from A to B.

Shalnov [3]

Partitioning means to find the dividing point between two points.
This is done by prorating the difference in x- and y-coordinates, and adding to the first.

We will take the first point (from A to B) as A(16,8).
The difference is B-A, i.e.
(1,3)-(16,8) = (-15,-5)
2/5 of the difference is (2/5)*(-15,-5) = (-6,-2)
Add the difference to the first coordinates (point A) gives
Point of division = (16,8)+(-6,-2) = (16-6, 8-2) = (10,6)

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Calculate the area of triangle ABC with altitude CD, given A(−7, −1), B(−1, 5), C(0, 0), and D(−3, 3)

Snezhnost [94]

Answer:

A=25 (Rounded)

Step-by-step explanation:

The first step is to find the length of BA which is the base, then you have the find the length of CD, the hight.

To find the distance, you need to use the distance formula which is

$d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$ (It does not matter if A is x1 or is B is x1, it just has to remain consistent)