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dybincka [34]
3 years ago
13

I need help with this for my numerical analysis class! Consider the following data set: (1,2.2), (3,5), (5,5.5),(7,6.1), (10,6.6

). Use least squares to determine the constants m and b in the function y = mx/(b+x).

Mathematics
1 answer:
lyudmila [28]3 years ago
7 0

Answer:

  • m ≈ 8.165
  • b ≈ 2.299

Step-by-step explanation:

It is convenient to let technology help out. Some graphing calculators will accommodate a model of your choice. Others are restricted to particular models, of which yours may not be one.

A spreadsheet solver may also offer the ability to optimize two variables at once. For that, you would write a function that gives the sum of the squares of the differences between your data points and those predicted by the model. You would ask the solver to minimize that sum.

If you want to do this "the old-fashioned way," you would write the same "sum of squares" function and differentiate it with respect to m and b. Solve the simultaneous equations that make those derivatives zero. (My solver finds multiple solutions, so the neighborhood needs to be restricted in some way. For example m > 0, b > 0, or sum of squares < 1.)

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Ede4ka [16]
\mathbb P(286
\mathbb P(286

The empirical rule says that approximately 68% of any normal distributed data set lies within one standard deviation of the mean.

\mathbb P(-2
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8 0
4 years ago
Can someone please solve this please?!
sasho [114]

Answer:

56

Step-by-step explanation:

This problem can be solved b using a combination. We're using a combination for this because the order in which you would pick the songs doesn't matter. To solve, we would plug in the number of songs we want to download, in this case 8, into the n value of the combination. Then we would plug in the number of songs that we can pick, in this case 3, in the r value of the combination. Solve the combination and we get 56.

4 0
4 years ago
Write .139 as a percent.
Rama09 [41]

Answer:

13.9%

Step-by-step explanation:

0.139 x 100=13.9, can you give me brainiest if its correct

4 0
3 years ago
Read 2 more answers
What is -0.75 as a fraction
erastovalidia [21]

Answer:

-0.75 as a fraction is -3/4

Explanation:

-3 divided by 4 is -0.75

4 0
3 years ago
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BRAINLESS!!!
Eduardwww [97]

Answer:

1/2

25/5

12/25

1/5

Hope it helps!

7 0
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