We need to find m and b to find in the equation of a line:
y = mx + b
↑ <span>↑
slope y-intercept
To find m, the slope, we need to find the rise over the run of the line. You pick two points and use the y values finding the difference of them and do the same for the x values and put them on the bottom. Let's use the points (0, -2) and (4, 0):
</span>↑ ↑<span>
(x₁, y₁) (x₂, y₂)
m = (y</span>₂ - y₁)/(x₂ - x₁)
m = (-2 - 0)/(0 - 4)
m = (-2)/(-4)
m = 1/2
The slope is positive since the line is going upward from left to right.
Now we need b, the y intercept, where the line intersects with the y axis, simply by looking at the graph. b is -2.
Thus, the answer is C. y = 1/2x - 2.
The value of correlation coefficient (r) for the dataset is 0.981
<h3>What is correlation coefficient (r)?</h3>
The correlation coefficient (r) is used to determine the closeness and association of a scatter plot points.
The dataset is given as:
- x: 8 15 3 7 2 14
- y: 15 21 6 12 3 20
Using a graphing calculator, we have the following parameters:
<h3>X Values
</h3>
- ∑x = 49
- Mean = 8.167
- ∑(X - Mx)2 = SSx = 146.833
<h3>Y Values
</h3>
- ∑y = 77
- Mean = 12.833
- ∑(Y - My)2 = SSy = 266.833
<h3>X and Y Combined
</h3>
- N = 6
- ∑(X - Mx)(Y - My) = 194.167
The correlation coefficient (r) is then calculated as:
This gives
Approximate
Hence, the value of correlation coefficient (r) for the dataset is 0.981
Read more about correlation coefficient at:
brainly.com/question/4219149
When given two end points of a segment say for example (X1,Y1) and (X2,Y2) to get the midpoint of the line or the segment we use the formula,
midpoint =( (X1+X2)/2 , (Y1+Y2)/2 )
therefore in our case the midpoint is (0,1)
hence, (-2 + X2)/ 2 = 0, thus X2 = 2
and (3 + Y2)/ 2= 1 , thus Y2 = -1
Therefore the other end point will be (2,-1). Thus none of the above paper can be used as the other end point.
Answer:make a plan and stick too it
Step-by-step explanation:
Answer:
≤ 14
Step-by-step explanation:
2 * x - 5 ≤ 18
divide 2 from both sides.
x - 5 ≤ 9
the answer is less than or equal to 14