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g100num [7]
3 years ago
10

How is a line of best fit drawn? Describe how you decide where to put it.

Mathematics
1 answer:
Gnoma [55]3 years ago
3 0

Answer:

A line of best fit is a straight line going through a trend on a scatter plot.

Step-by-step explanation:

A well drawn line of best fit is just a line going straight through the trend of dots to approximate an exact trend from a non-exact plot, so just draw a line that stays in the middle of the dots and you should do great.

Hope this helped!

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Juan and Gloria are comparing the two numbers 354.6 and 354.06. Juan says that 354.06 is equal to 10 x 354.6. Gloria says he is
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* Let S = Span {(2,-1, 1), (3, 1, 1), (1, 2, 0)}. (i) Calculate the dimension of S.
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The span of 3 vectors can have dimension at most 3, so 9 is certainly not correct.

Check whether the 3 vectors are linearly independent. If they are not, then there is some choice of scalars c_1,c_2,c_3 (not all zero) such that

c_1 (2,-1,1) + c_2 (3,1,1) + c_3 (1,2,0) = (0,0,0)

which leads to the system of linear equations,

\begin{cases} 2c_1 + 3c_2 + c_3 = 0 \\ -c_1 + c_2 + 2c_3 = 0 \\ c_1 + c_2 = 0 \end{cases}

From the third equation, we have c_1=-c_2, and substituting this into the second equation gives

-c_1 + c_2 + 2c_3 = 2c_2 + 2c_3 = 0 \implies c_2 + c_3 = 0 \implies c_2 = -c_3

and in turn, c_1=c_3. Substituting these into the first equation gives

2c_1 + 3c_2 + c_3 = 2c_3 - 3c_3 + c_3 = 0 \implies 0=0

which tells us that any value of c_3 will work. If c_3 = t, then c_1=t and c_2 = -t. Therefore the 3 vectors are not linearly independent, so their span cannot have dimension 3.

Repeating the calculations above while taking only 2 of the given vectors at a time, we see that they are pairwise linearly independent, so the span of each pair has dimension 2. This means the span of all 3 vectors taken at once must be 2.

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2 years ago
How do i solve x² + x - 2
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A blue whale has a length of 28578 mm. What is the length of a blue whale in km? Show work.
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