Here x increases (as we move to the right), and y increases with it. The slope of the line is positive.
The correlation coefficient for the data in the table is A. –0.993
<h3>Calculations and Parameters:</h3>
Using this formula: ![r = \frac{n(\sum xy)-(\sum x\sum y)}{\sqrt{n\sum x^2-(\sum x)^2}\sqrt{n\sum y^2-(\sum y)^2}}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%5Csum%20y%29%7D%7B%5Csqrt%7Bn%5Csum%20x%5E2-%28%5Csum%20x%29%5E2%7D%5Csqrt%7Bn%5Csum%20y%5E2-%28%5Csum%20y%29%5E2%7D%7D)
We would use x and y to represent the unknowns.
n = 4
We have,
- ∑x = 42,
- ∑y = 44.37 ,
- ∑xy = 461.3
- ∑x^2 = 446,
- ∑y^2 = 494
Putting these values in the formula
would bring the answer as. A. –0.993
Read more about correlation coefficient here:
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Answer:
g(x) = x^2 - 4 (Answer #3)
Step-by-step explanation:
The graph of the parent function f(x) = x^2 is a parabola with vertex at (0, 0). That of g(x) is the same, except that the first graph has been translated down by 4 units.
When this happens, the original function f(x) = x^2 + 0 changes to
g(x) = x^2 - 4 (Answer #3)
Answer:
If an equality divide or multiply by a negative number, then the sing of inequality changes. Therefore the first step is distributive property. The solution of the given inequality is x<-0.2. In both sides,addition or subtraction should be done.
Step-by-step explanation:
Answer:
A. Yes, the point is defined, limit f(x) exists, and limit f(x) 0.
Step-by-step explanation:
Let be
, a rational function is continuous at a value of
if and only if denominator is different from zero. In particullar,
.
Then, we find that function is continuous for every value of
except
. Thus, the function is continuous at
, which is evaluated below:
![f(x) = \frac{(x+5)\cdot (x-5)}{x-7}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B%28x%2B5%29%5Ccdot%20%28x-5%29%7D%7Bx-7%7D)
![f(0) = \frac{(0+5)\cdot (0-5)}{0-7}](https://tex.z-dn.net/?f=f%280%29%20%3D%20%5Cfrac%7B%280%2B5%29%5Ccdot%20%280-5%29%7D%7B0-7%7D)
![f(0) = \frac{(5)\cdot (-5)}{-7}](https://tex.z-dn.net/?f=f%280%29%20%3D%20%5Cfrac%7B%285%29%5Ccdot%20%28-5%29%7D%7B-7%7D)
![f(0) = \frac{-25}{-7}](https://tex.z-dn.net/?f=f%280%29%20%3D%20%5Cfrac%7B-25%7D%7B-7%7D)
![f(0) = \frac{25}{7}](https://tex.z-dn.net/?f=f%280%29%20%3D%20%5Cfrac%7B25%7D%7B7%7D)
Thus, correct answer is A.