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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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raketka [301]

c. 4.6

       

21 X .22= 4.6

       

Calculating the variance requires finding the product of 21 and 22%. To make this easier we convert 22% into it's decimal form and construct the equation. To back check this answer we can use 10% of 21 voters which equals 2.1% then double that amount to reach 4.2%, knowing that we now have a close approximation of the variance we can eliminate answers a, b, and d, leaving c as the only logical choice.

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3 years ago
HELP PLZ DUR 11;59 plz help me
Norma-Jean [14]

Answer:

Base = 10 cm

Height = 60 cm

Step-by-step explanation:

The formula for the area of a triangle is  area=\frac{1}{2} *b*h , where <em>b</em> is the length of the base of the triangle, and <em>h</em> is the length of the height of the triangle.

We know the area is 300, and since the height of the triangle is 6 times its base, we know that h=6*b. We can plug in these values into our formula for the area of a triangle, which gives us the following equation to solve:

300=\frac{1}{2} *b*(6*b)

3b^2=300

b=\sqrt{100} =10

The base of the triangle is 10 centimeters.

Now that we know the base of the triangle, we can plug its value in to the original formula to solve for the height of the triangle, which gives us the following equation:

300=\frac{1}{2} *10*h

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The height of the triangle is 60 centimeters.

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sertanlavr [38]

less than; Set A

It is less than, because if you add half of the sum of the least and greatest numbers of the set to the lowest number in the set, you get the median. The median of Set A was 17, and the Median of Set B was 17.5.

Set A is more variable in terms of range, because it has a larger range.

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