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3 years ago

By visual inspection, determine the best-fitting regression model for the data plot below.

Mathematics

1 answer:

vichka [17]3 years ago

5 0

Answer:

linear

Step-by-step explanation:

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The sum of two numbers is 4. Five times the larger number plus four times the smaller number is 34. Find the numbers

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3 years ago

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B) Consider the weighted voting system (q: 8,4,2,1). Find the Banzhaf power distribution of this weighted voting systwm when q=1

pashok25 [27]

Answer:

Given : (q: 8,4,2,1)

q = 15

List all coalitions ( 2 pair)

$(P_1,P_2)=\text{Total weight }=8+4=12 \\(P_1,P_3)\text{Total weight }=8+2=10 \\(P_1,P_4)\text{Total weight }=8+1=9 \\(P_2,P_3)\text{Total weight }=4+2=6 \\(P_2,P_4)\text{Total weight }=4+1=5 \\(P_3,P_4)\text{Total weight }=2+1 = 3$

Those whose total weight is equal to q or more than q will go further in the list of winning coalitions

Since No pair's total weight is equal to q or more than q . So, we will not consider then further

Coalitions ( 3 pair or more)

$(P_1,P_2,P_3)=\text{Total weight }=8+4+2=14 \\(P_1,P_2,P_4)\text{Total weight }=8+4+1=13 \\(P_1,P_3,P_4)\text{Total weight }=8+2+1=11 \\(P_2,P_3,P_4)\text{Total weight }=4+2+1=7 \\(P_1,P_2,P_3,P_4)\text{Total weight }=8+4+2+1=15$

Those whose total weight is equal to q or more than q will go further in the list of winning coalitions

winning coalitions:

$(P_1,P_2,P_3,P_4)$

If Player 1 leaves

So, total weight will be 4+2+1 = 7

So, Player 1 is critical

If Player 2 leaves

So, total weight will be 8+2+1 = 11

So, Player 2 is critical

If Player 3 leaves

So, total weight will be 8+4+1 = 13

So, Player 3 is critical

If Player 4 leaves

So, total weight will be 8+4+2 = 14

So, Player 4 is critical

Player Times critical Banzhaf power index

1 1 $\frac{1}{4} \times 100 = 25\%$

2 1 $\frac{1}{4} \times 100 = 25\%$

3 1 $\frac{1}{4} \times 100 = 25\%$

4 1 $\frac{1}{4} \times 100 = 25\%$

Sum = 4

7 0

3 years ago