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tresset_1 [31]
3 years ago
12

Give one real life example of each correlation: positive, negative, and no correlation.

Mathematics
2 answers:
sdas [7]3 years ago
8 0
A real life example of a positive correlation would be to to see an increase of popsicle sales when the temperature is warm. This would increase profit. 

A negative example would be to sell ice cream in the winter time. The temperature outside is cold, therefore people want to eat and drink warmer items. They would probably prefer cocoa at this time.

No correlation would be something like cake. Cake is eaten throughout each year and has never been out of style. This means sales would be steady throughout the year.
Svetlanka [38]3 years ago
4 0

For each of these examples, I have attached an image provide showing work to fully understand the problem.

<em>Positive correlation</em>

<u>The number of kids at the playground and the number of swings being used</u>

<u />

As the number of kids at the playground increases, the number of swings being used will increase. When both variables increase, they have a positive correlation. Thus, the situation in this problem has a positive correlation.

If we sketch a scatter plot for this situation, notice that the number of kids at the playground would be on the x-axis and the number of swings being used would be on the y-axis.

We can predict that if the number of kids at the playground increases, then the number of swings being used would also increase. Since this is only a sketch, it's not important exactly where our points are. Instead, we simply want to draw the points so our scatter plot has a line of best fit line with an upward of positive slope.

The image for this correlation is the first attachment.

<em>Negative correlation</em>

<u>The amount of time Diaco spends goofing off in class and the grade Dicaco earns in the class</u>

<u />

Notice that if the amount of time that Diaco spends goofing off increases, his grade is likely to decrease. When one variable increases and the other decreases, they have a negative correlation. Thus, the situation in this problem has a negative correlation.

If we sketch a scatter plot for this situation, notice that the time goofing off would be on the x-axis and Diaco's grade would be on the y-axis.

We can predict that if Diaco spends little or no time goofing off, his grade will be high and if he spends a lot of time goofing off, his grade will be low. Since this is only a sketch, it's not important exactly where our points are. Instead, we want to simply draw the points so our scatter plot has a line of best fit with a downward or negative slope.

The image for this correlation is the second attachment.

<em>No correlation</em>

<u>The number of pets a family has and the number of kids in the family </u>

Notice that in most cases, the number of pets a family has is not related to the number of kids in the family. Thus, there is no correlation between the number of pets a family has and the number of kids in the family.

If we sketch a scatter plot for this situation, notice that the number of pets a family has would be on the x-axis and the number of kids in the family would be on the y-axis.

Since there is no correlation between the variables, the data points will be spread out and there will be no best fit line.

The image for "no correlation" is the third attachment.

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Genrish500 [490]

Answer:

x<-2

Step-by-step explanation:

You first subtract 4 from both sides. Then you divide both sides by -8 (note: when you multiply or divide by a negative the sign flips. Then you get your answer

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What are the coordinates of the point that is common to the graph of f(x) = (2/3) ^ x and the graph of f(x) = (3/2) ^ x
kiruha [24]

Answer:

Both point are y=0. The difference between the two is that 2/3 is always decressing and 3/2 is always incressing.

Step-by-step explanation:

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2 years ago
leila and jo are two of the partners in a business.leila makes $3 in profits every $4 that jo makes.if jo makes $60 profit on th
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4 0
3 years ago
A ball is thrown into the air. The height in feet of the ball can be modeled by the equation, h(t) = −16t2 + 10t + 6 where t is
Lelechka [254]

A function assigns the value of each element of one set to the other specific element of another set. The correct option is D.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

The time at which the ball will hit the ground is,

h(t) = −16t² + 10t + 6

0 = -16t² + 10t + 6

8t² - 8t + 3t - 3= 0

8t(t-1)+3(t-1) = 0

(8t+3)(t-1)=0

t = -0.375, 1

Hence, the ball hit the ground at 1 second, while the function in intercept form can be written as h(t) = (−8t − 3)(2t − 2).

Thus, the correct option is D.

Learn more about Function:

brainly.com/question/5245372

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6 0
2 years ago
Assume the time required to complete a product is normally distributed with a mean 3.2 hours and standard deviation .4 hours. Ho
Alex787 [66]

Answer: 3.712 hours or more

Step-by-step explanation:

Let X be the random variable that denotes the time required to complete a product.

X is normally distributed.

X\sim N(\mu=3.2\text{ hours},\ \sigma=0.4\text{ hours} )

Let x be the times it takes to complete a random unit in order to be in the top 10% (right tail) of the time distribution.

Then, P(\dfrac{X-\mu}{\sigma}>\dfrac{x-\mu}{\sigma})=0.10

P(z>\dfrac{x-3.2}{\sigma})=0.10\ \ \ [z=\dfrac{x-\mu}{\sigma}]

As, P(z>1.28)=0.10  [By z-table]

Then,

\dfrac{x-3.2}{0.4}=1.28\\\\\Rightarrow\ x=0.4\times1.28+3.2\\\\\Rightarrow\ x=3.712

So, it will take 3.712 hours or more to complete a random unit in order to be in the top 10% (right tail) of the time distribution.

3 0
3 years ago
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