Please explain what is R2.

Please explain what is R².

Expert Solution

Coefficient of Determination

Coefficient of determination, denoted R² or r² and pronounced "R squared", is the proportion of the variance in the dependent variable that is predictable from the independent variable.

A measure of goodness of fit for a linear regression model is represented by the coefficient of determination, or R^2R2, and it is broadly used to assess the quality of a linear regression model

How do you compute the Coefficient of Determination?

Most often, the coefficient of determination is computed using some type of statistical software package. But using the actual Math definition is useful to arrive to an important interpretation for R-Squared.

Mathematically, the coefficient of determination is computed as

R^2=SSR/SST

where SSR stand for the regression sum of squares and SST stands for the total sum of squares.

SST=SSR+SSE

For example, if the coefficient of determination is R^2 = 0.473, what does that tell you? It indicates that 47.3% of the variation in the dependent variable is explained by the corresponding linear regression model.

orchestra answered 1 year ago

Please explain all the steps! Let f : R2 → R2 be the affine transformation which...

Please explain all the steps! Let f : R2 → R2 be the affine transformation which reflects about the line x = 1, then rotates 90 degrees clockwise about the origin. Write f as a matrix M, and use it to calculate f(2, 2).

Explain the difference between the meaning of r2 and the meaning of the adjusted r2 in...

Explain the difference between the meaning of r2 and the meaning of the adjusted r2 in a multiple regression model. Would it be permissible to eliminate any or all “outliers” to increase the value of the adjusted r2? Why or why not?

please explain the options Which of the following regions is/are simply connected on R2? P =...

please explain the options Which of the following regions is/are simply connected on R2? P = {(x, y) | x2 + y2 < 1} Q = {(x, y) | 0 < x2 + y2 < 1} R = {(x, y) | 1 < x2 + y2 < 9 and y > 0}

Correlation(Part 1)-Week 11 -compute r,r2 and 1-r2 for the problem below .What does r,r2 and 1-r2...

Correlation(Part 1)-Week 11 -compute r,r2 and 1-r2 for the problem below .What does r,r2 and 1-r2 mean ? Is the correlation strong or weak ? You are given the following data: X(Independent Variable) Y(Dependent variable) Month Advertising Expenditure (in Millions of $) Sales Revenue (in Millions of $) July 1 3 August 2 7 September 3 5 October 4 11 November 5 14

What is the relationship between R2 and adjusted R2 ? How do we use them to...

What is the relationship between R2 and adjusted R2 ? How do we use them to explain the model?

please explain in detail What is the PCAOB? Please explain what is the law, a describiton...

please explain in detail What is the PCAOB? Please explain what is the law, a describiton of the law.

Explain, with the aid of a graphical representation, how the coefficient of determination (R2) is derived

1. Please explain what is P value. 2. Please explain what is the difference and relationship...

1. Please explain what is P value. 2. Please explain what is the difference and relationship between One-Tailed Test and Two-Tailed Test. 3. Please explain what is the difference between Z-statistic and T-statistic.

Consider a transformation T : R2×2 → R2×2 such that T(M) = MT . This is...

Consider a transformation T : R2×2 → R2×2 such that T(M) = MT . This is infact a linear transformation. Based on this, justify if the following statements are true or not. (2) a) T ◦ T is the identity transformation. b) The kernel of T is the zero matrix. c) Range T = R2×2 d) T(M) =-M is impossible.

let r1 and r2 be the relations represented as r1 (ABC) and r2 (ADE) .Assume the...

let r1 and r2 be the relations represented as r1 (ABC) and r2 (ADE) .Assume the corresponding domains of both the tables are same.r1 has 2000 tuples and r2 has 4500 tuples 1.common tuples between r1 and r2 are 500, what would be the resultant number of tuples for r1-r2, justify your answer 2.assuming 500 as the common tuples between r1 and r2,what is the maximum number of tuples that results in ]] A( r1) U ]] A r2. justify...

Question