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IgorC [24]
3 years ago
15

Which correlation coefficient best represents a moderate relationship showing fewer anxiety symptoms in people who report higher

life satisfaction?a. -0.5b. -0.2c. +0.4d. +0.7
Mathematics
1 answer:
weqwewe [10]3 years ago
5 0

Answer:

a) -0.5

Step-by-step explanation:

Correlation

  • Correlation is a technique that help us to find or define a relationship between two variables.
  • It is a measure of linear relationship between two quantities.
  • A positive correlation means that an increase in one quantity leads to an increase in another quantity
  • A negative correlation means with increase in one quantity the other quantity decreases.
  • Values between 0 and -0.3 tells about a weak negative linear relationship, values between -0.3 and -0.7 shows a moderate negative correlation and a correlation value of of -0.7 and -1.0 states a strong negative linear relationship.

Anxiety symptoms and life satisfaction are negatively correlated. As life satisfaction increases the anxiety symptoms decreases.

Thus, a moderate correlation between them can be expressed by a correlation coefficient of -0.5

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ehidna [41]

We want to find the values of a, b, c, and d such that the given matrix product is equal to a 2x2 identity matrix. We will solve a system of equations to find:

  • b = 1
  • a = -1
  • c = -2
  • d = -1

<h3>Presenting the equation:</h3>

Basically, we want to solve:

\left[\begin{array}{cc}-1&2\\a&1\end{array}\right]*\left[\begin{array}{cc}b&c\\1&d\end{array}\right] = \left[\begin{array}{cc}1&0\\0&1\end{array}\right]

The matrix product will be:

\left[\begin{array}{cc}-b + 2&-c + 2d\\a*b + 1&a*c + d\end{array}\right]

Then we must have:

-b + 2 = 1

This means that:

b = 2 - 1 = 1

  • b = 1

We also need to have:

a*b + 1 = 0

we know the value of b, so we just have:

a*1 + b = 0

  • a = -1

Now the two remaining equations are:

-c + 2d = 0

a*c + d = 1

Replacing the value of a we get:

-c + 2d = 0

-c + d = 1

Isolating c in the first equation we get:

c = 2d

Replacing that in the other equation we get:

-(2d) + d = 1

-d = 1

  • d = -1

Then:

c  = 2d = 2*(-1) = -2

  • c = -2

So the values are:

  • b = 1
  • a = -1
  • c = -2
  • d = -1

If you want to learn more about systems of equations, you can read:

brainly.com/question/13729904

4 0
3 years ago
Explanation for B. or D. please.
balu736 [363]
The correct answer is B
8 0
3 years ago
Read 2 more answers
Will give brainliest
kodGreya [7K]

Answer: y=12 x =9

Step-by-step explanation:

In a parallelogram the diagonals bisect each other making them equal.

this means 2y + 6 = 30

we can rearrange this as 30 - 6 = 2y

24 = 2y  therefore y = 12

3x - 3 = 24

We can rearrange this as 24 + 3 = 3x

3x = 27

27 / 3 = 9

x = 9

Hope this helped :)

3 0
3 years ago
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Mrrafil [7]
3x-1/2(8x-2)=4
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3 years ago
Amber has some state quarters in her pocket. She collects the following data by randomly pulling one quarter recordings the stat
ch4aika [34]
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If you had that number, just multiply it by 300.

For example, if 10% of the coins were from New York, just multiply by 0.1.
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4 0
3 years ago
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