The term for a point that varies greatly from all other data points is known as an <u>OUTLIER</u>
<u></u>
Explanation:
- An outlier is a data point that differs significantly from other observations. An outlier may be due to variability in the measurement or it may indicate experimental error.
- An outlier can cause serious problems in statistical analyses.
- An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. In a sense, this definition leaves it up to the analyst to decide what will be considered abnormal.
- A point that falls outside the data set's inner fences is classified as a minor outlier, while one that falls outside the outer fences is classified as a major outlier.
- The data here appear to come from a linear model with a given slope and variation except for the outlier which appears to have been generated from some other model.
- Outliers can occur by chance in any distribution, but they often indicate either measurement error or that the population has a heavy-tailed distribution.
Answer:
x=−7/5and y=−6/5
Step-by-step explanation:
Step: Substitute−2x−4foryiny=3x+3:
y=3x+3
−2x−4=3x+3
−2x−4+−3x=3x+3+−3x(Add -3x to both sides)
−5x−4=3
−5x−4+4=3+4(Add 4 to both sides)
−5x=7
−5x
−5
=
7
−5
(Divide both sides by -5)
x=−7/5
1275 ÷ 9775= 0.1304% or 0.13%
Answer:
<em>True
</em>
Step-by-step explanation:
<em>Rate Of Change Of Functions
</em>
Given a function y=f(x), the rate of change of f can be computed as the slope of the tangent line in a specific point (by using derivatives), or an approximation by computing the slope of a secant line between two points (a,b) (c,d) that belong to the function. The slope can be calculated with the formula
![\displaystyle m=\frac{d-b}{c-a}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7Bd-b%7D%7Bc-a%7D)
If this value is calculated with any pair of points and it always results in the same, then the function is linear. If they are different, the function is non-linear.
Let's take the first two points from the table (1,1)(2,4)
![\displaystyle m=\frac{4-1}{2-1}=3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B4-1%7D%7B2-1%7D%3D3)
Now, we use the second and the third point (2,4) (3,9)
![\displaystyle m=\frac{9-4}{3-2}=5](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B9-4%7D%7B3-2%7D%3D5)
This difference in values of the slope is enough to state the function is non-linear
Answer: True
Answer:
1/4
Step-by-step explanation:
First, add up the marbles:
2 + 9 + 7 = 18
Multiply by 2 because you pick two:
18 × 2 = 36
Simplify:
9/36 = 3/12 = 1/4
Hope this helped.