Question

In simple linear regression analysis which of the following assumptions must be met in order to...

In simple linear regression analysis which of the following assumptions must be met in order to ensure valid conclusions?

* The variances for each X are independent of each other.

* the variance of X is equal to the variance of Y

* All of these statements are true.

* The X variable and the Y variable each have histograms that are normal

* X is linearly related to Y

Homework Answers

Answer #1

Linear regression is an analysis that assesses whether one or more predictor variables explain the dependent (criterion) variable. The regression has five key assumptions:

1. Linear relationship

2. Multivariate normality

3. No or little multicollinearity

4. No auto-correlation

5. Homoscedasticity

So Answer :

1. The X variable and the Y variable each have histograms that are normal

2. X is linearly related to Y

3.  The variances for each X are independent of each other.

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