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harina [27]
3 years ago
14

Application of the least squares method results in values of the y-intercept and the slope that minimizes the sum of the squared

deviations between the _____.
Mathematics
1 answer:
alisha [4.7K]3 years ago
7 0

Answer:

The least squares method results in values of the y-intercept and the slope, that minimizes the sum of the squared deviations between the observed (actual) value and the fitted value.

Step-by-step explanation:

The method of least squares works under these assumptions

  • The best fit for a data collection is a function (sometimes called curve).
  • This function, is such that allows the minimal sum of difference between each observation and the expected value.
  • The expected values are calculated using the fitting function.
  • The difference between the observation, and the expecte value is know as least square error.
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Solve using equations:

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the subtract Robby from Gina *2 to give a=3



[Question 1]
let d = number of dramas Gina rented, c = # of comedies, and t = # of documentaries:

[equation a] d + c + t = 11
[equation b] 2d + 3c + 2t = 27
[equation c] d + 2c + 2t = 19

if we subtract [a] from [c] we get:
[equation d] c + t = 8

if we subtract [c]*2 from [b] we get:
[equation e] -c - 2t = -11 or
[equation e] c + 2t = 11

Now we can subtract [e] from [d] to solve for t:
t = 3

Now put in 3 for t in [d] or [e] to solve for c:
c + 2(3) = 11
c + 6 = 11
c = 5

So she rented 5 comedies and 3 documentaries which leaves 3 dramas (which is answer A)
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