The answer is C. All students enrolled at Springfield high school.
Trying to factor by splitting the middle term
Factoring <span> b2-4b+4</span>
The first term is, <span> <span>b2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -4b </span> its coefficient is <span> -4 </span>.
The last term, "the constant", is <span> +4 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> 1 • 4 = 4</span>
Step-2 : Find two factors of 4 whose sum equals the coefficient of the middle term, which is <span> -4 </span>.
<span><span> </span></span>
<span><span>-4 + -1 = -5</span><span> -2 + -2 = -4 That's it</span></span>
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and -2
<span>b2 - 2b</span> - 2b - 4
Step-4 : Add up the first 2 terms, pulling out like factors :
b • (b-2)
Add up the last 2 terms, pulling out common factors :
2 • (b-2)
Step-5 : Add up the four terms of step 4 :
(b-2) • (b-2)
Which is the desired factorization
Answer:
(a) MAE = 5.20
(b) MSE = 10
(c) MAPE = 38.60%
(d) Forecast for week 7 = 14
Step-by-step explanation:
Note: See the attached excel for the calculations of the Error, Error^2, and Error %.
(a) mean absolute error
MAE = Total of absolute value of error / Number of observations considered = |Error| / 5 = 26 / 5 = 5.20
(b) mean squared error
MSE = Total of Error^2 / Number of observations considered = Error^2 / 5 = 150 / 5 = 10
(c) mean absolute percentage error (Round your answer to two decimal places.)
MAPE = Total of Error % / Number of observations considered = Error % / 5 = 193.02 / 5 = 38.60%
(d) What is the forecast for week 7?
Since the forecast is based on the naive method (most recent value), the forecast for week 7 is value for week 6. Therefore, we have:
Forecast for week 7 = 14
I think you forgot to put in the image
