Question

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

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.