The Null Hypothesis for linear regression always uses a one-tailed test because we do not care if the coefficient beingtested is positive or negative.TrueFalse

The simple linear regression equation is : Y=α+βX Here α and β are the regression coefficients known…

Answered: The Null Hypothesis for linear…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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In simple linear regression, most often we perform a two-tail test of the population slope 1 to determine whether there is sufficient evidence to infer that a linear relationship exists. The null hypothesis is stated as:
The null hypothesis for a "global test" of a multiple linear regression model is:
When a regression coefficient in a multiple linear regression model is zero, the slope of the corresponding independent variable is zero. True False
A linear regression test can be responsibly performed only when there is a significant outcome of: a)any study B)experimental study C)quasi-experimental study D)correlational study
What are the assumptions of multiple linear regressions only?
Which is NOT true of simple linear regression? It can be used to identify predictors of continuous outcome variables. It can be used to predict the outcome of a binary variable (e.g., pass/fail) with continuous variables. It can be used to quantify a relationship between two continuous variables. It can be used to model a linear relationship between variables.
A least squares regression line ______. a. implies a cause-effect relationship between x and y b. may be used to predict a value of y if the corresponding x value is given c. can only be determined if a good linear relationship exists between x and y d. All of these answers are correct.
Assuming that this simple linear regression model fulfills all the classical assumptions we discussed in class, please show that the OLS estimator for the intercept of the simple linear regression model is an unbiased estimator.
True or false: “If the errors in a regression model contain ARCH, they must be serially correlated.”
In multiple regression analysis, explain why the typical hypothesis that analysts want to test is whether a particular regression coefficient (B) is equal to zero (H0: B = 0) versus whether that coefficient is not equal to zero

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The Null Hypothesis for linear regression always uses a one-tailed test because we do not care if the coefficient being tested is positive or negative. O True False