Use the data in the table below to complete parts (a) through (c) 8 32 35 15 16 18 Click the icon to view the steps for finding influential points. 27 22 48 25 24 23 4. 40 (b) Identify any possible outliers. OA. The point (7,35) may be an outlier. OB. The point (48,4) may be an outlier. OC. The point (18,23) may be an outlier. O D. The point (5,32) may be an outlier. O E. There are no outliers. (c) Determine if the point is influential. The change in slope or intercept is significant if it is larger than 10%. significantly different, and the intercepts significantly different The point V an influential point because the slopes with the point included and without the point included
Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
![**Data in the Table**
| x | y |
|----|----|
| 5 | 32 |
| 7 | 35 |
| 8 | 27 |
| 9 | 22 |
| 15 | 25 |
| 16 | 24 |
| 18 | 23 |
| 48 | 4 |
- **Graphs**:
- The image includes two small graphs. Both appear to be number lines. The number line on the left is labeled with x from 0 to 50, while the one on the right is marked for y from -12 to around 40.
**Instructions for Completing Parts (a) through (c):**
(a) Click the icon to view the steps for finding influential points.
(b) **Identify any possible outliers.**
- A. The point (7,35) may be an outlier.
- B. The point (48,4) may be an outlier.
- C. The point (18,23) may be an outlier.
- D. The point (5,32) may be an outlier.
- E. There are no outliers.
(c) **Determine if the point is influential.**
The change in slope or intercept is significant if it is larger than 10%. The prompt discusses how to evaluate if a point is influential based on changes in the slope and intercept of a regression line:
- The point [dropdown] an influential point because the slopes with the point included and without the point included [dropdown] significantly different, and the intercepts [dropdown] significantly different.
Click to select your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F049b2046-729f-4b6c-a625-b407d7bf1205%2F7d720cb2-c33d-43c3-bbdd-3ec4e6822331%2Fdn9h51o_processed.jpeg&w=3840&q=75)
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