Answer:
a) strong negative linear correlation.
b) Weak or no linear correlation.
c) strong positive linear correlation.
Step-by-step explanation:
The correlation coefficient r measures the strength and direction (positive or negative) of two variables. The correlation coefficient r is always between -1 and 1. When the coefficient r is negative then the direction of the correlation is downhill (negative) and when it's positive then it's an uphill correlation (positive). Similarly, as the coefficient is closer to -1 or 1 the correlation is stronger, with zero being a non linear relationship.
Now back to the question:
a) Near -1: as we said before, this means an strong negative (-1) linear correlation.
b) Near 0: weak or no linear correlation (we cannot say if its positive or negative because we don't know it it's near zero from the right (positive numbers) or the left (negative numbers)
c) Near 1: strong positive (close to +1) linear correlation
Answer:
the answer is <u>C</u>.
Step-by-step explanation:
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This symbol is an <u>absolute value</u> symbol. It means that we are looking for that number's distance from 0. There is no such thing as a negative distance; the distances are all positive, so both ∣9∣ and ∣-9∣ have a value of 9.
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-2(4w-1)=3(4w+2)
-8w+2=12w+6
-20w=4
w=-0.2
Answer:
1. A. 1
2. D. 
Step-by-step explanation:
Properties used:
- Power of a Power Property
- Product Property
- Quotient Property
- Zero Exponent Property
1. First, let's deal with the numerator.
can be turned into
by using the Power of a Power Property.
And then use the Product Property, 
So now, our fraction is this: 
All number over itself in a fraction is equal to 1. But you can also do this the mathmatic way using the Quotient Property:
or
. Which then you plug the numbers in:
. And since we know that in Zero Exponent Property:
, we can see that
. So either way, we get 1.
So the answer is 1, which is A
2. Power of a Power Property: 
So plug the numbers in the property:
= 
Product Property: 
We plug the equation in with
turned into
---

So the answer is
, which is D
I hope this helps!
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