Asked by
Ashley Olson
on Oct 24, 2024Verified
The statistical model for simple linear regression has the form
,i = 1,2,…,n.Which of the following statements about this statistical model is/are TRUE?
A) The
are assumed to be Normally distributed with a mean of 0 and a standard deviation of .
B) The parameters of this model are
,
,and .
C)
is the mean response when
.
D) The
,i = 1,2,…,n are independent.
E) All of the above are true.
Simple Linear Regression
A statistical method used to model the relationship between a single independent variable and a dependent variable by fitting a linear equation to observed data.
Normally Distributed
A statistical distribution that is symmetrical about the mean, where most observations cluster around the central peak and the probabilities for values further away from the mean taper off equally in both directions.
Parameters
In statistics, parameters are numerical characteristics of a population, such as its mean or standard deviation.
- Understand the concept of simple linear regression analysis.
- Assess and interpret the diagnostic components of a linear regression model, particularly the residual standard error and the R-squared value.
Verified Answer
CV
Learning Objectives
- Understand the concept of simple linear regression analysis.
- Assess and interpret the diagnostic components of a linear regression model, particularly the residual standard error and the R-squared value.