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LenKa [72]
2 years ago
15

As the average daily temperature in New York City decreases, the number of persons who are observed wearing sweaters in the work

place increases. This is an example of a __________ correlation.
Mathematics
1 answer:
Alik [6]2 years ago
4 0

If the temperature decreasing in New York leads to the number of people wearing sweaters increasing, this is <u>Negative </u>correlation.

There are several types of correlation:

  • Positive correlation - An increase in one variable leads to an increase in another variable and vice versa
  • Negative correlation - An increase in one variable leads to a decrease in another variable and vice versa
  • Zero correlation - Variables don't change in relation to one another

In this scenario we notice that when temperatures decreased, people wearing sweaters increased. This is therefore negative correlation as the variables moved in opposite directions.

In conclusion, what was observed is negative correlation.

<em>Find out more at brainly.com/question/10099551.</em>

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Step-by-step explanation:

Plot the figure to better understand the problem

see the attached figure

we know that

If the figure is a rectangle          

then

AB=CD \\AD=BC

The area of the rectangle is equal to

A=B*h

 where  

B is the base  

h is the height  

the base B is equal to the distance AB

the height h is equal to the distance AD  

Step 1

Find the distance AB

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

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substitute the values

d=\sqrt{(-5-5)^{2}+(0+5)^{2}}\\d=\sqrt{(-10)^{2}+(5)^{2}}\\dAB=\sqrt{125}\ units

Step 2

Find the distance AD

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

A(-5,5)\\D(-1,7)

substitute the values

d=\sqrt{(7-5)^{2}+(-1+5)^{2}}\\d=\sqrt{(2)^{2}+(4)^{2}}\\dAD=\sqrt{20}\ units

Step 3

Find the area of the rectangle

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substitute

A=\sqrt{125}*\sqrt{20}\\A=\sqrt{2,500}\\A=50\ units^{2}

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