All categories

3 years ago

Which of the following represents a weak positive correlation?a. -0.9b. 0c. +0.2d. +0.9

Mathematics

1 answer:

svetoff [14.1K]3 years ago

3 0

Answer:

Option C) +0.2

Step-by-step explanation:

We are given the following information in the question:

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.

+1 tells about a a perfect positive linear relationship and −1 indicates a perfect negative linear relationship.

Values between 0 and 0.3 tells about a weak positive linear relationship, values between 0.3 and 0.7 shows a moderate positive correlation and a correlation of 0.7 and 1.0 states a strong positive linear relationship.

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.

Thus, a weak positive correlation is given by correlation coefficient of Option C) +0.2

You might be interested in

Find the solutions to x⁴-5x²-36=0 and the x-intercepts of the graph of y=x⁴-5x²-36.

disa [49]

Answer:

The solutions $x^4-5x^2-36=0$ are $x=3,\:x=-3,\:x=2i,\:x=-2i$ and the x-intercepts of $y=x^4-5x^2-36$ are $x=3,\:x=-3$

Step-by-step explanation:

Finding the solutions to $x^4-5x^2-36$ means finding the roots, a root is where the function is equal to zero.

The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero.

To find the roots you need to:

Rewrite the equation with $u=x^2$ and $u^2=x^4$

$u^2-5u-36=0$

Solve by factoring

$\mathrm{Break\:the\:expression\:into\:groups}\\u^2-5u-36=\left(u^2+4u\right)+\left(-9u-36\right)$

$\mathrm{Factor\:out\:}u\mathrm{\:from\:}u^2+4u=u\left(u+4\right)$

$\mathrm{Factor\:out\:}-9\mathrm{\:from\:}-9u-36=-9\left(u+4\right)$

$u^2-5u-36=u\left(u+4\right)-9\left(u+4\right)$

$\mathrm{Factor\:out\:common\:term\:}u+4\\\left(u+4\right)\left(u-9\right)$

$u^2-5u-36=\left(u+4\right)\left(u-9\right)=0$

Using the Zero factor Theorem: if ab = 0 then a = 0 or b = 0 (or both a = 0 and b = 0)

The solutions to the quadratic equation are:

$\:u=-4,\:u=9$

Substitute back $u=x^2$ , solve for x

$x^4-5x^2-36=(u-9)(u+4)=(x^2-9)(x^2+4)$

Apply the difference of squares formula

$x^4-5x^2-36=(x^2-9)(x^2+4)=(x-3)(x+3)(x^2+4)$

$(x-3)(x+3)(x^2+4)=0$

Using the Zero factor Theorem: if ab = 0 then a = 0 or b = 0 (or both a = 0 and b = 0)

The solutions are:

$\:x=3,\:x=-3,\:x=2i,\:x=-2i$

Because two of the solutions are complex roots the only x-intercepts are $x=3,\:x=-3$

3 0

3 years ago

Alex prepares goody bags for his guests. He has 30 Minifigures and 24 spinners. How many goody bags can he make if he wants to p

nadya68 [22]

Answer:

he can make 6 goodie bags

Step-by-step explanation:

5 0

3 years ago

Paying someone 10$ on PayPal to help me out on a quiz, its math 8th grade level, heres an example, if I do end up getting a 80 o

svetlana [45]

Answer:

<1 and <7

Step-by-step explanation:

<4 and < 6 are alternate interior angles

<3 and <8 are supplementary angles

<2 and <7 are supplementary angles

<1 and <7 are alternate exterior angles

8 0

2 years ago

-11 2/3 x (-4 1/5) pls help me

sveta [45]

Answer:

Step-by-step explanation:

8 0

2 years ago

A line that includes the point (7,4) and has slope of 8

Art [367]

So I assume you are trying to find the equation of the line.

So you are gonna use this equation:

y=mx+b

So the x and y are your x and y coordinate pair and the m is the slope. So now you just substitute and solve for b:

4=8(7)+b

4=56+b

subtract 56 on both sides

-52=b

so now lets plug this into the equation of the line:

y=8x+(-52)

hope this helps!

6 0

3 years ago