Answer:
1. Q1=7 Q3=12 IQR=5
2. Q1=8 Q3=33 IQR=25
3. Q1=4.5 Q3=10 IQR=5.5
Step-by-step explanation:
hope this helps have a good day or night
For a smoothing constant of 0.2
Time period – 1 2 3 4 5 6 7 8 9 10
Actual value – 46 55 39 42 63 54 55 61 52
Forecast – 58 55.6 55.48 52.18 50.15 52.72 52.97 53.38 54.90
Forecast error - -12 -.6 -16.48 – 10.12 12.85 1.28 2.03 7.62 -2.9
The mean square error is 84.12
The mean forecast for period 11 is 54.38
For a smoothing constant of 0.8
Time period – 1 2 3 4 5 6 7 8 9 10
Actual value – 46 55 39 42 63 54 55 61 52
Forecast – 58 48.40 53.68 41.94 41.99 58.80 54.96 54.99 59.80
Forecast error - -12 6.60 -14.68 0.06 21.01 -4.80 0.04 6.01 -7.80The mean square error is 107.17
The mean forecast for period 11 is 53.56
Based on the MSE, smoothing constant of .2 offers a better model since the mean forecast is much better compared to the 53.56 of the smoothing constant of 0.8.
Answer:
0.3[x-2y] + 0.5x - y
Use the distributive property: a(b-c) = ab - ac
0.3x - 0.6y + 0.5x - y
Now, add/subtract all like terms
0.3x + 0.5x - 0.6y - y
0.8x - 1.6y
If you want, we can simplify that down further to:
0.8(x - 2y)
Answer:
71 degrees
It's the measure of angle 1.
