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ICE Princess25 [194]
3 years ago
6

In the context of a correlational study, what does the positive or negative sign of a correlation coefficient indicate?

Mathematics
2 answers:
stiks02 [169]3 years ago
5 0

Answer:

Positive correlation coefficient - variables are moving in the same direction.

Negative correlation coefficient - variables are moving in opposite directions.

Step-by-step explanation:

First, let us define what a correlation coefficient is.

  • The correlation coefficient measures the degree to which the movements of two variables are associated. In other words, it measures the strength of the relationship between two variables.
  • positive correlation: a positive correlation coefficient is when the value is greater than zero (0), and it indicates that variables are moving in the same direction.
  • negative correlation: a negative correlation coefficient is when the value is less than zero (0), and it indicates that variables are moving in opposite directions.
Artyom0805 [142]3 years ago
3 0

Answer:

Direct or inverse relation between two variables

Step-by-step explanation:

Now, we first have to understand that what is correlation study. In a correlational study, we try to find the relation between two variables. For example, mass and weight of a substance. If mass increases the weight will increase as well. it represent that both have strong positive correlation. Now the positive sign indicates that the correlation is directly proportional. Means if one variable increases, other will follow. Whereas, negative sign shows that two variables are inversely proportional, means, if one increases, other will decrease. For example any demand and supply system in economics. When supply is short, demand will rise, but if there is enough supply, demand will fall down accordingly.

Also notify that the coefficient is actually indicates the strength of relation between two variables. For example, if you pour water in container it will increase the weight of container, so it is directly proportional, now if you start to add honey, it will increase the weight of container more rapidly because honey has more density. So, coefficient of correlation for quantity of honey and weight of container is stronger than for quantity of water and weight of container.

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GalinKa [24]

Answer:

x = 5

$15.00 is the total amount of money Jamal has right? To find the remaining amount of money Jamal has subtract 15 - 7.5 (price of nachos) = 7.5 (remaining amount of money Jamal has.) Now for part 2, since the sour straws are $1.50 each you just have to multiply X to get close as close to the remaining amount of money as possible.

1.50× 5 (amount of sour straws) is equal to 7.50 (price of 5 sour straws).

To check your answer let's add the price of nachos (7.50) and 5 sour straws (7.50) which is 15.00 the total amount Jamal brought with him.

Let me know if you have any other questions :)

4 0
3 years ago
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The spinner below is spun twice. What is the probability of the arrow landing on a 3 and then an odd number?
Mice21 [21]

Answer:

4/3

Step-by-step explanation:

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3 years ago
A warehouse worker ships 25 boxes each day. Every box contains 3 shipping labels. Inventory has 500 shipping labels. How many da
Stolb23 [73]

Answer: It will take 7 days to use the inventory of shipping labels.

Step-by-step explanation:

Given : Total boxes shipped by warehouse worker per day = 25

Every box contains 3 shipping labels.

Inventory has 500 shipping labels.

Then, the total number of boxes can be made =  (Total  shipping labels) ÷ (labels in each box)

500 ÷ 3  =166.67≈166

Number of days it will take to use the inventory of shipping labels=  (total number of boxes can be made)  ÷  (Total boxes shipped  per day)

= 166÷ 25=6.64≈7

Hence, it will take 7 days to use the inventory of shipping labels.

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3 years ago
A website manager has noticed that during the evening​ hours, about 5 people per minute check out from their shopping cart and m
Over [174]

Answer:

a) Poisson distribution

b) 99.33% probability that in any one minute at least one purchase is​ made

c) 0.05% probability that seven people make a purchase in the next four ​minutes

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

5 people per minute check out from their shopping cart and make an online purchase.

This means that \mu = 5

a) What model might you suggest to model the number of purchases per​ minute? ​

The only information that we have is the mean number of an event(purchases) in a time interval. Each event is also independent fro each other. So you should suggest the Poisson distribution to model the number of purchases per​ minute.

b) What is the probability that in any one minute at least one purchase is​ made? ​

Either no purchases are made, or at least one is. The sum of the probabilities of these events is 1. So

P(X = 0) + P(X \geq 1) = 1

We want to find P(X \geq 1)

So

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-5}*(5)^{0}}{(0)!} = 0.0067

1 - 0.0067 = 0.9933.

99.33% probability that in any one minute at least one purchase is​ made

c) What is the probability that seven people make a purchase in the next four ​minutes?

The mean is 5 purchases in a minute. So, for 4 minutes

\mu = 4*5 = 20

We have to find P(X = 7).

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-20}*(20)^{7}}{(7)!} = 0.0005

0.05% probability that seven people make a purchase in the next four ​minutes

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