0.416 rounded to the nearest thousandth place

Consider a population list x, with a CV= 10%. A second population list, y, has a CV= 20%. The linear regression of y on x is y =

ch4aika [34]

Answer:

The correlation coefficient 0.5 depicts that there is moderate positive correlation between y and x.

Step-by-step explanation:

The linear regression equation is

y= a+bx

The given linear equation is

y= 10x

Here, slope=b=10 and intercept=a=0.

From above equation,

ybar=10xbar

We are given that CVx=0.1 and CVy=0.2

where CV=(standard deviation/mean)*100

We know that

b=r(Sy/Sx)

Multiplying by xbar/ybar on both sides

(xbar/ybar)b=r(Sy/Sx)(xbar/ybar)

(xbar/ybar)b=r[(Sy/ybar)/(Sx/xbar))]

(xbar/ybar)b=r[CVy/CVx]

As CVy/CVx=(Sy/ybar)*100/(Sx/xbar)*100=(Sy/ybar)/(Sx/xbar).

By putting ybar=10xbar, b=10, CVx=0.1 and CVy=0.2.

(xbar/10xbar)10=r(0.2/0.1)

1=r(0.2/0.1)

1=r(2)

r=0.5

There is moderate positive correlation between y and x.

6 0

2 years ago

Taquiah set her iPod so that she listens to every song for the same amount of time. In twenty minutes she listened to 8 songs. H

FromTheMoon [43]

I would think 1 because songs can range any where from 1 minute to 3. <span />

4 0

3 years ago

Read 2 more answers

Two fifteenths times 10

Ahat [919]

Answer:

1.3

Step-by-step explanation:

6 0

3 years ago

Write an equation of the horizontal and vertical lines that pass through the given points (3,2)

VikaD [51]

Answer:

???????????????

????????????

7 0

2 years ago

The yearly Penn rock-paper-scissors tournament has come down to the final series between Zach and Shaya. They play a best-of-thi

Zepler [3.9K]

Answer:

p=41.79%

Step-by-step explanation:

First let us remember the calculation of a probability:

$p=\frac{number of favorable outcomes}{total number of possible outcomes}$

In this case let's calculate the number of possibilities of winning the tournament when either one of them, Zach(Z) or Shaya(S), wins the first game (number of favorable outcomes). That is:

Given that Z or S won the first game, the player has another 6 possibilities of winning among 12 remaining games, which is a combination:

number of favorable outcomes = 12C6 = 924

Therefore, the winner of the first game has 924 opportunities of winning 6 other games among 12 games and be the tournament winner.

Now, we must find the number of total possible outcomes, which we may analize as it follows:

Assuming that the first winner Z or S loses the tournament we have several outcomes:

1. After winning the first game, the player doesn't win again, then we have 0 possbilities among 7 other games, this is because the next player would win the tournament winning 7 games in a row. We then have the combination 7C0.

2. The player wins just one more game, but doesn't win again. Now we have 1 possibility among 8 games, given that the other player would win the other 7 games. We then have the combination 8C1.

3. The player wins just two more games, but doesn't win again, now we have 2 possibilities among 9 games, given that the other player would win the other 7 games. We then have the combination 9C2.

And so on until we reach the outcome where the player wins 5 more games, but doesn't win again, then we have 5 possibilities among 12 games, given that the other player would win the other 7 games. We then have the combination 12C5.

Now, we must also consider all the outcomes where the first winner wins the tournament, that is the first combination we calculated: 12C6

Therefore we obtain the following:

total number of possible outcomes = 7C0+8C1+9C2+10C3+11C4+12C5+12C6

total number of possible outcomes = 2,211

We have now the elements to calculate the probability:

$p=\frac{924}{2,211}=0.4179$

Hence, the probability that the winner of the first game wins the tournament is 41.79%

7 0

3 years ago