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kiki9555
04.06.2021 •
Mathematics
Which of these strategies would eliminate a variable in the system of equations?
2x — бу = 6
6x – 4y = 2
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Ответ:
Explanation: I’ll use A as an example. When you multiply the bottom equation by -3/2, the equation becomes: -9x+6y=-3. Then, proceed to add the equations. Look at X and Y in both equations: do the Y variables in both equations equal to 0 when added together? Yes, because -6y+6y=0! Therefore, you can eliminate y in these two equations.
Hope that’s helps シ
Ответ:
The answers to the question are
(a) The time series plot is given as attached
(b) The parameters for the line that minimizes MSE for the time series are;
y-intercept, b₀ = 19.993
Slope, b₁ = 1.77
MSE = 19.44
T
= 19.993 + 1.774·t
(c) The average cost increase that the firm is realizing per year is $ 1.77
(d) The estimate of the cost/unit for next year is $35.96.
Step-by-step explanation:
(a) Using the provided data, the time series plot is given as attached
(b) Given hat the y-intercept, = b₀
Slope = b₁
Therefore the linear trend forecast equation is given s
T
= b₀ + b₁·t
The linear trend line slope is given as
b₁ =![\frac{\Sigma^n_{t=1}(t-\overline{\rm t)}(Y_t-\overline{\rm Y)}}{\Sigma^n_{t=1}(t-\overline{\rm t} )^2}](/tpl/images/0559/1070/e6e96.png)
b₀ =
- b₁·![\overline{\rm t}](/tpl/images/0559/1070/287c9.png)
Where:
Y
= Time series plot value at t
n = Time period number
Therefore,
= ![\frac{\Sigma^n _{t=1} t}{n} = \frac{36}{8} =4.5](/tpl/images/0559/1070/9c5a7.png)
Therefore the linear trend line equation T
, is
b₁ =
=
= 1.774
b₀ =
- b₁·
= 27.975 - 1.774×4.5 = 19.993
Therefore the trend equation for the linear trend is
T
= 19.993 + 1.774·t
MSE =
=
= 19.44
(c) From the linear trend equation, the average is given as the slope of the curve or b₁ which is equal to 1.774
Therefore the average cost increase that the firm has been realizing per year is $ 1.77
(b) From the equation of the future trend, we have when y = 9
T
is given as
T
= 19.993 + 1.774×9 = 35.96
The cost/unit for 9th year is $35.96