Consider the following binary variable version of the fixed effects model. Each regressor Dj is a binary variable that equals 1 when i = jand 0 otherwise. Note that the binary variable D1, for the first group is arbitrarily omitted. Y = Bo + B,X + Y2 D2; + Y3 D3, +.. + YnDn, + ut Use the regression in the equation above and the tool palette to the right to answer the following questions. What is the slope and intercept for entity 3 in time period 1? The slope of entity 3 in time period 1 is B, . The intercept of entity 3 in time period 1 is Po +Y3 · (Properly format your expressions using the tools in the palette. Hover over tools to see keyboard shortcuts. E.g., a subscript can be created with the character.) What is the slope and intercept for entity 2 in time period 2? The slope of entity 2 in time period 2 is The intercept of entity 2 in time period 2 is
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.
What is the slope and intercept for entity 2 and time period 2?
![Consider the following binary variable version of the fixed effects model. Each regressor \( D_j \) is a binary variable that equals 1 when \( i = j \) and 0 otherwise. Note that the binary variable \( D_1 \) for the first group is arbitrarily omitted.
\[ Y_{it} = \beta_0 + \beta_1 X_{it} + \gamma_2 D_{2i} + \gamma_3 D_{3i} + \ldots + \gamma_n D_{ni} + u_{it} \]
Use the regression in the equation above and the tool palette to the right to answer the following questions.
What is the slope and intercept for entity 3 in time period 1?
- The slope of entity 3 in time period 1 is \( \beta_1 \).
- The intercept of entity 3 in time period 1 is \( \beta_0 + \gamma_3 \).
*(Properly format your expressions using the tools in the palette. Hover over tools to see keyboard shortcuts. E.g., a subscript can be created with the _ character.)*
What is the slope and intercept for entity 2 in time period 2?
- The slope of entity 2 in time period 2 is \([ \text{Blank for input} ]\).
- The intercept of entity 2 in time period 2 is \([ \text{Blank for input} ]\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdc0fcdf3-b9ce-4f09-a6c3-41948da6edf8%2F837ca726-80b7-4540-b32b-26296d72d069%2Fagca3q_processed.jpeg&w=3840&q=75)
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