Answer:
D
Step-by-step explanation:
Proablas always have x squared. They are never in parentheses. The plus or minus sign determine who way it's facing.
Answer:
Carrie's slope value is correct.
Step-by-step explanation:
The least square regression line is: ![(y -\bar y)=b_{yx} (x-\bar x)](https://tex.z-dn.net/?f=%28y%20-%5Cbar%20y%29%3Db_%7Byx%7D%20%28x-%5Cbar%20x%29)
Here
is the slope of the line.
The formula to compute the slope is:
![b_{yx}=r\frac{\sigma_{x}}{\sigma_{y}}](https://tex.z-dn.net/?f=b_%7Byx%7D%3Dr%5Cfrac%7B%5Csigma_%7Bx%7D%7D%7B%5Csigma_%7By%7D%7D)
Here
= standard deviation of <em>x</em> and
= standard deviation of <em>y</em>.
It is provided that the standard deviation of <em>x</em> and <em>y</em> are equal.
So the slope of the regression line is:
![b_{yx}=r\frac{\sigma_{x}}{\sigma_{y}}=r\frac{\sigma_{x}}{\sigma_{x}}=r](https://tex.z-dn.net/?f=b_%7Byx%7D%3Dr%5Cfrac%7B%5Csigma_%7Bx%7D%7D%7B%5Csigma_%7By%7D%7D%3Dr%5Cfrac%7B%5Csigma_%7Bx%7D%7D%7B%5Csigma_%7Bx%7D%7D%3Dr)
Thus, if the standard deviation of <em>x</em> and <em>y</em> are equal the slope of the line is same as the correlation coefficient.
The correlation coefficient is a measure used to determine the strength of the linear relationship between the variables.
It ranges from -1 to 1.
Carrie's slope value was 0.50 and Ryan's slope value was 2.
Since -1 ≤ r ≤ 1 the value of slope cannot be 2.
Thus, Ryan's slope value is incorrect.
Answer: 20 and 22
The product of 20 and 22 is 440 and 22 is 2 more than 20.
Answer:
"A translation of 7 units to the left followed by a translation of 1 unit down".
Step-by-step explanation:
There are multiple transformations that map one point into another, here is one example that works particularly for translations, which are the simplest (and usually the most used) transformations.
Suppose that we have the point (a, b) which is transformed into (a', b')
Then we have a horizontal translation of (a' - a) units followed by a vertical translation of (b' - b) units.
(the order of the translations does not matter, is the same having first the vertical translation and then the horizontal one).
Here we have the point A (3, 4) transformed into (-4, 3)
Then we have a horizontal translation of ((-4) - 3) = -7 units followed by a vertical translation of (3 - 4) = -1 units.
Where a horizontal translation of -7 units is a translation of 7 units to the left, and a vertical translation of -1 unit is a translation of 1 unit down.
Then we can write this transformation as:
"A translation of 7 units to the left followed by a translation of 1 unit down".
A: Speed is Independent as it can be anything with no restrictions. Gas mileage is dependent as it relies on the value of speed for its value to be decided.
B: The first letter of speed is "S" so it can represent the variable. The first letter of mileage is "M" so the variable can be represented by that letter. It really can be any letter.
C: no context
D: no context